diff --git "a/data/dm_maths/full_data/11247_11255.jsonl" "b/data/dm_maths/full_data/11247_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11247_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -9*t + 2*t = -14. Suppose -t*r + 4*u + 4 = -20, 3*u = 4*r - 28. Which is the second smallest value? (a) 3 (b) 5 (c) 0.03 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 4*q)*(3 - 1 - 3 + (0 - 2 + 3)*(5 + 0 - 4) + (0 + 3 - 4)*(-81 + 35 + 40)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2113907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 14*z**2 - 1\/60*z**5 + 0*z**4 + 0*z + 0*z**3 + 0. Let w(v) = 4*v**2. What is w(c(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (4 + -9) - (7 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/5 - (147\/(-77) - 3)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazzzyzzlazazazzz. Give prob of picking 1 y and 1 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 - 0.15858?\nAnswer: -746.15858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t + 1\/15*t**4 + 0*t**3 - 2*t**2 + 1\/50*t**6 + 1\/15*t**5 - 2\/525*t**7 + 0 - 1\/420*t**8. Solve u(l) = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c. Let t(n) = -25 + 3*n + 25. What is s(t(v))?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37978, 37988, 38004, 38026, 38054, 38088, 38128?\nAnswer: 38174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*r*y**3 - 2*d**2*y - 2*d*r*y**2 - 3*d*y**2 - 33*r*y**3 - 2*y**2 wrt y.\nAnswer: -6*d**2*r - 198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/160 or 4\/17?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 6*u**2 - 6*u - 5. Determine r(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65246021\/45668 + 69945\/49. Let k = o + 1\/233. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120, -189, -258?\n\"Answer: -69*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148833562?\nAnswer: 2, 74416781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, b: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34093*h**3 + 34098*h**3 - 44*h**2 + 19*h**2 + 25*h**2.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2628 is divided by 1023.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 240*m**4 + 668*m**3 + 322*m**2 - 110*m - 4 = 0.\nAnswer: -2, -1, -1\/30, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/26)\/((7\/(-14))\/(3\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102453 is divided by 621?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29923604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13*p + 17 = -8*p, -3*p + 31 = -4*w. What is the closest to -3\/4 in -0.06, -0.6, w, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 24 = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from fdddzdddddoozeyz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/((-7320)\/(-525) - 14). Let t(k) = -2*k + 2. Let o(y) = -3*y + 5. Calculate r*t(w) - 4*o(w).\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 946*p + 716*p + 1263 + 386 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgwghwqz. What is prob of sequence zwwq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014383 rounded to 7 decimal places?\nAnswer: -0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f**2 - 6. Let u(l) = -l**2 - 1. Let s(j) = o(j) - 6*u(j). Let b be ((-8)\/12)\/(4\/(-786)). Let r(v) = -2*v - b + 131. What is r(s(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.87, -1, 308, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247485101 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - 7*y + 9. Let w be u(-7). Suppose -w*x + 4140 = 3*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424 + 458. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 291*q**2. Let j(u) = -u**2. What is j(p(k))?\nAnswer: -84681*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8052 - -56367\/7. Let g be (3\/(-10))\/(6\/(-15)). Which is the fourth smallest value? (a) g (b) 6\/7 (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -126463\nAnswer: 2\/126463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-32) - 354\/(-48). Solve -25 = -2*d + f*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16 - 4. Suppose 0*h + f*d + 21 = 5*h, 0 = -3*h - d + 7. What is the first derivative of -2*t**3 + 3*t + h - 6*t + 3*t wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-75)*(-1 + 4). Let x(z) = -z - z**g - z - 16 + 2*z**2 + 7*z. Calculate the remainder when x(-12) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let y(q) = 3*q**2 - 24459*q - 10. Calculate j(y(s)).\nAnswer: -3*s**2 + 24459*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 126044? (a) 1\/6 (b) 5 (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12000010111?\nAnswer: -12000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 15. Let b(d) be the second derivative of 0*d**3 + 0 + 0*d**4 - 1\/2*d**z - 1\/2*d**2 + 8*d. What is the derivative of b(i) wrt i?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 17.2\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 2 - 4*m + 6*m)*(-5*m + 12 - 12) + 3*m**2 + 0*m**2 + 0*m**2 in the form h*m**2 + q*m + x and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.5 times 0.167019?\nAnswer: 104.3033655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -107*w + 27. Let v(d) = d + 1. Let q(r) = 2*v(r) + y(r). Let t be q(-7). Suppose -24*x + t = -20*x. What are the prime factors of x?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Let x be 3*(10\/6 - 1). Let v(a) = 1 - 5*a**x - 1 + a**2. What is q(v(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 3*g + t, 3*g - 3*t - 250 + 67 = 0. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4070, 8138, 12210, 16286, 20366, 24450?\nAnswer: 28538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 39 = -3*q - 219, -446 = -5*g - 3*q. Calculate the remainder when 1934 is divided by g.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j + 108. Let h be f(12). Solve -3*s + 0*s = -h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r**2 - 9. Let b(d) = 147*d - 3. Determine t(b(x)).\nAnswer: -324135*x**2 + 13230*x - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1626, -6, 5 in decreasing order.\nAnswer: 1626, 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.9 + 23. What is the second smallest value in i, -2, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1995\/(-855))\/((-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from irbbrdid?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3 - 28. Suppose 0 = 2*t - g + f, 2*g = -5*t + t - 6. What is the common denominator of 53\/4 and t\/(-6)*21\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 23. Let m be b(6). Let l(f) = 4*f + 8 - m + 7*f + 5*f. Does 41 divide l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - 5 + 10 + 6*x**2 + 7*x + x**3 + 5*x**3. Calculate k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -29. Calculate the common denominator of 28\/(-90) - j\/6 and 11\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*b = 50, -4*z - 3*b + 200 = 2*b. Suppose -4*i + 230 = -z. Suppose -149 = -3*s - 4*q, -q + i - 303 = -5*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) 11 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b - 37. Calculate the smallest common multiple of j(7) and 4\/2*(-33)\/(-22)*3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 75*n + 5*x, 417205*n = 417207*n + 4*x + 102 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 124 + 124.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 7*x + 2. Let j(a) = -11*a**2 - 20*a - 6. Calculate -17*d(c) - 6*j(c).\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38340 and 2.\nAnswer: -38338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*z = 6, -12*z + 2 = -14*z. Let l(s) be the first derivative of 0*s**2 + 0*s**3 + u - 9\/4*s**4 + 3*s. What is the first derivative of l(p) wrt p?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o**31)**(4\/7) assuming o is positive.\nAnswer: o**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1566 and 131\/14094.\nAnswer: 14094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43244420 (base 6) to base 5\nAnswer: -312001333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/28 - 3\/(-7))*5. Suppose 4*i + w - 3271 = -0*w, -z*i + 2*w = -4105. List the prime factors of i.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/6 (b) 3 (c) -0.308 (d) -8 (e) -4 (f) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35177, 130764, 290077, 513116, 799881, 1150372, 1564589?\n\"Answer: 31863*x**2 - 2*x + 3316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200)*-3 + -1 + sqrt(200) + 0.\nAnswer: -50*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 59*a**2 + 319*a + 81. Determine n(64).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 21 = 21. Suppose 107*m = 143 + 285. Is m\/14 - 5022\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = k, -r - 4*k = -4*r + 59. Let s(j) = -j**3 + 17*j**2 + 7*j - 35. Let v be s(17). Calculate the greatest common factor of r and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*p + 4*z, -p = p - 2*z - 74. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4743 - -4.4743. Let i be (-9)\/(-1) + -1 - 0. What is the closest to 0.2 in i, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(144\/(-8352))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 3. Let s(r) = r**2 - 9*r - 4. Let k be s(10). Let j be c(k). Let h(y) = -y**2 + 6*y - 3. Give h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/39 and 68\/195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40171 - v - v + 40171.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, 0, 4\/5, 4, 5 in descending order.\nAnswer: 5, 4, 4\/5, 0, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 - 4*p + 7. Let l(k) = -k - k - 2*k**2 + 4 + 0*k. Let t = 2805 + -2811. Calculate t*j(i) + 11*l(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = 2*w. Suppose -2*y + 10 = -w*y. Let v = -46\/5 - y. What is the closest to 2\/5 in -1, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 2. Let d be y(2). Let j(q) = -7*q - 9. Let v be j(-3). What is the third derivative of 5*f**3 + 5*f**2 - 5*f**3 - v*f**6 + d*f**2 wrt f?\nAnswer: -1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 866876 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (10 - 5)) + -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1168.\nAnswer: -350.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + -0.23. Let c = -0.04 + -0.26. What is the closest to v in 4\/9, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-4)\/(-2) - (-32)\/(-17)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-24)\/(-20))\/((-2)\/5))\/(-5). Which is the third biggest value? (a) -15 (b) -7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from -0.56.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1158686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a. Let d be k(4). Let h = -10 - d. Does 8 divide h\/3*(-3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y + 2. Let a(z) = z**3 + 8*z**2 - z - 11. Let c be a(-8). Let u be j(c). Solve -2*l = 2*l + u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {b: 1, x: 1, q: 1, k: 1, m: 2, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27861727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1430, 5, -7, 183, 1, -1 in increasing order.\nAnswer: -7, -1, 1, 5, 183, 1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 70670 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.0465\nAnswer: -0.02325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 83519524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 - 7*v - 5. Let p be f(-5). Let l = -0.25 + 0.05. Which is the third smallest value? (a) l (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4278 + 4282. Let m be 0*2\/8*2. Let h be ((-6)\/(-9))\/2*m. Solve j*d - d + 15 = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346706423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 183508074157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:45 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3\/10*i**4 + 0*i + 268 + 2\/3*i**3 + 2\/5*i**2. Solve v(u) = 0 for u.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 4*o + 176 = 15*h, -4*o = -4*h - 112. Let f be h\/10 + 4 - (-230)\/25. What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2705)\/550 - 4\/(-22).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 604904 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -2\/9, -941.1 in ascending order.\nAnswer: -941.1, -0.4, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 358 - c2b?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148534 is divided by 362.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2448) + -1 + -4 + ((1 + sqrt(17))*6 + (-6*sqrt(51)\/sqrt(3))**2)*-3.\nAnswer: -1861 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2180 - 2166. What is the greatest common factor of x and 1743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -64*r - 38. Determine d(-4).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) -2\/15 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 3*o + 1. Let k(r) = 2*r - 6. Calculate the remainder when d(-3) is divided by k(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*h + 9 = -116*h. Let u(l) = -11*l**3 + l**3 + 4*l + 4*l**h - l. Let o(q) = 7*q**3 - 4*q. Give 3*o(b) + 4*u(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.2. What is the biggest value in -2\/7, t, -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + y + 2. Let b(u) = 5 + 0*u**2 + 3*u + 7*u**2 + 3*u**2 + 12*u**2 - 26*u**2. Calculate 2*b(k) - 5*g(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 + 48*m**2 - 10*m - 14. What is w(-8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-38)\/c)\/(c*c**10))**(-1\/26) assuming c is positive.\nAnswer: c**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125991 by 5.\nAnswer: 125991\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-7112*h + 7112*h - 42*h**4) + 3*h - 3*h + h**4 + (2 - 5*h - 2)*(5*h**3 - 6*h**3 - h**3).\nAnswer: -73*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = z, -3*z + 4*u = 4. Solve z*j - j - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3 - 372*q**2 + 15910*q - 82500 = 0.\nAnswer: 6, 55, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -18. Let h = 15 - g. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 47120.\nAnswer: -3\/47120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36727.86 - 36728. Let p = 0.11 - 4.11. Which is the third biggest value? (a) z (b) p (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8672648?\nAnswer: 2, 41, 137, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s + 11. Let d(m) = m. Let r(u) = 2*u - 4. Let v(j) = -d(j) - r(j). What is -4*p(x) + 11*v(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8516*w - 585 = 8477*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/3)\/((-3)\/9). Let p = f + 10. Suppose -44 = -p*j - 5*a, j - 2*a = 3*j - 28. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -565, -528, -491, -454, -417?\n\"Answer: 37*q - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2658)\/6202)\/((-9)\/(-714)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 32. Let u be o(10). Suppose 5*x - u*a + 10494 = 0, x = -2*x + 5*a - 6285. Round x to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 52*x**2 + 60*x**2 - 4 + 3)*(-5 + 5 - x) as o*x**2 + z + r*x**3 + n*x and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -352.000696 + 352. Round o to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 + 9 + 0 - 9.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 18*m**2 + 38*m - 13. Let r(u) = -3*u**3 - 11*u**2 - 2*u - 4. Let p be r(-2). Calculate a(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 + 3*g**4 - 7*g**4 + 31*g**3 + 4*g**4 + 2 - 727*g**2 - 79*g**3 wrt g.\nAnswer: 60*g**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3, -382 = -x - 2*o - o. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**3*x**2 + 2*f**3 - 1477*f + 224*x**3 + 1 with respect to x.\nAnswer: 44*f**3*x + 672*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 820695612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.37, 0.436, 0.18 in decreasing order.\nAnswer: 0.436, 0.4, 0.18, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -2*j - 131, -204*u + j = -201*u - 56 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 2, d: 1, h: 1, c: 4}. Give prob of picking 1 c, 1 m, and 2 e.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -6. Let v = h + -11. Let y = 13 + v. Solve y = 5*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f + 31195 - 31219 + 16*f. Let o(l) = 2*l - 8. Give 4*i(r) - 11*o(r).\nAnswer: 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72297, -72257, -72217, -72177, -72137?\nAnswer: -72097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 382*y - 195*y - 187*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s + 2\/3*s**3 + 0 - 14\/3*s**2.\nAnswer: 2*s*(s - 4)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2568 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (4 - 7)) + 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxe when three letters picked without replacement from exxeyxxxxnxnxneny?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*d - 375, m - 2*m + 150 = -2*d. Let c = 80 + d. Suppose 0*q - 1585 = -c*x + 3*q, 0 = -4*x + q + 1268. What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1*-9*3\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)\/(k\/k**(5\/3)*k*k)*(k*k**(-1\/3)\/k*k*k)\/k**(-6)*(k*k\/(k\/k**2*k)*k)**(-11)\/(k*k**(-2))**(-1\/20) assuming k is positive.\nAnswer: k**(-11161\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -373.9512 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 3 = 14*g. Suppose 0 = 2*k + k + 5*f + 14, -g*k = -4*f + 5. Let j(l) be the third derivative of l**4\/24 + l**3\/2 - 2*l**2. Calculate j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210020 + -120000101010?\nAnswer: -120001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 406 - 10. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w - 1 - 2 - 1.\nAnswer: -64*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5465, -4, -1, -13 in ascending order.\nAnswer: -13, -4, -1, 5465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + -1 - (sqrt(11) + sqrt(11) + -3 + -1)) + (sqrt(396)\/sqrt(9)*5*2)**2.\nAnswer: -sqrt(11) + 4403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1216) + -2 + sqrt(1216)*1*-3 + sqrt(1216) + (4 + sqrt(2299))*2*-5.\nAnswer: -118*sqrt(19) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gktiijjiiiiiritkii. What is prob of sequence girj?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 55 = -9. Suppose 0 = -6*d + 8*d - 640. Suppose 19*r = 14*r + d. Calculate the greatest common divisor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 45 = -5*y + 5*p, 0 = 2*y + 3*p - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*t - 2 - 71499*t**2 - 71474*t**2 + 142970*t**2.\nAnswer: -3*t**2 + 580*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = z + 22*z - 63 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let h = -2 - -3. Let a = 1 - h. Are a and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7125, 13959, 20795, 27633, 34473?\nAnswer: 41315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1178, 0, 3 in increasing order.\nAnswer: 0, 3, 5, 1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfgfgugugtktttuggg. Give prob of sequence ttuu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111 - 101?\nAnswer: 110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7000802068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u + 3. Let h be r(7). Suppose h*p + p = 108. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*a**3 - 1 + (-26*a**3 - 21*a**3 - 20*a**3)*(3 - 5 - 11)*(2 - 5 + 1).\nAnswer: -1745*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k - 3. Let r be y(-6). Let t = 40 + r. Let g(a) = -a - 7. Let u(q) = 3*q + 20. Give t*g(w) - 6*u(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155980 and 24860?\nAnswer: 17625740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.206778l?\nAnswer: 3206.778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m + 5. Let j(v) = v + 1. Let n(r) = -5*j(r) + o(r). Let f be n(2). Let c = f - 5. Calculate the remainder when 54 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = -4*b - 0, -b - 2*m + 4 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(30\/(-4))*-1710. Suppose 5*o - 4*o - d = 0. Let r be (48\/o)\/(2\/(-3)). What is the nearest to 0.1 in 3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -2\/5741 (c) -11 (d) 0.3 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50\/2 - (5 + 8\/(-4)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.017? (a) 0 (b) 86 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 15666*t**2 - 46971*t.\nAnswer: -3*t*(t - 5219)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let g(h) = 214*h - 6. Let s(p) = g(p) - 3*q(p). Is s(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 6*t + 3*t)*(4 + 16 - 6)*(-2 + 3 + 0)*(2*t + t - t)*(10 - 6 - 23).\nAnswer: -532*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 + 2314*d**4 - 149790*d**3 + 1841014*d**2 - 5394656*d - 7387776 = 0.\nAnswer: -1, 8, 53, 1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 10. Suppose 5*v + 10 = 7*v. Let z be i(v). Suppose o = 14 - z. Solve o*b = -5*c + 28, -c + 1 = -3*b + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p + 103. Let v be a(8). Let j = v - -18. Calculate the remainder when j is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(-8)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a hour in minutes?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 13 + 17. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 2*u + 24, 255*u + 20 = p + 259*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 18, 45, 90, 159, 258, 393?\n\"Answer: z**3 + 8*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1473, -4929, -8387, -11847?\n\"Answer: -a**2 - 3453*a + 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699841513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 6 = -24. Solve i*r + 3 - 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/4 - 3*q**4\/2 - q**3\/2 + 5*q**2 + 27*q\/4 + 5\/2.\nAnswer: -(q - 2)*(q + 1)**3*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5127.325 and 50?\nAnswer: 256366.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38636868*o**2 + 38636868*o**2 - 78 + 2*o**3.\nAnswer: 2*o**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.527 + -321.627. Let h = q - -315. Let k = 7.7 + -8. Which is the second smallest value? (a) 2 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665165217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 divided by -6?\nAnswer: -358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -608*n**3 + 17*n**2 - 7*n - 10. Let t(k) = -405*k**3 + 12*k**2 - 5*k - 7. Give 7*t(w) - 5*z(w).\nAnswer: 205*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/14)\/((-14)\/(-56) + (-52)\/(-112))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + -3. Let a = -23 - s. Solve 1 = -3*l + i + a, -5*l - 2*i + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from tlaew?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -29, -24, -7, 28, 87, 176, 301?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u + 0*u**5 + u**3 + 0*u**2 + 1\/6*u**6 - 6 + 0*u**4. What is the third derivative of x(o) wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 1603923970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*m + 4 - 17 = 5*s, -11*m - 27 = 41*s - 36*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1390 - -6948\/5. Suppose -5 + 0 = 5*p. Which is the nearest to -1? (a) 0.3 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 4*f**2 - 3*f + 1. Determine s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13274011\/3426588 + 241\/6732. Let d = -3\/5599 + z. What is the common denominator of d and 57\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-7))\/(1\/7). Let w be 10\/15*-5 + q. Factor 2\/3*n**4 - w*n**2 - 2\/3*n + 0 + 2\/3*n**3.\nAnswer: 2*n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2915096475083 - 0.11.\nAnswer: 2915096475082.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**5 - n**4 - n**3 - n**2 - n. Let t(h) = 4*h**5 + 2*h**4 - 4*h**3 + 16*h**2 - 3*h. Let c(z) = -15*q(z) - 5*t(z). Solve c(a) = 0 for a.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61683\/80068 - -128\/541. Find the common denominator of s and 8 - ((-106)\/16 - -8).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35036, 34889, 34742?\nAnswer: 34595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 + 7*c + 4. Let k be p(7). What is the derivative of 4*u**2 + 4*u**3 - 3 + 0*u**3 - k*u**2 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3960819701 and 4472?\nAnswer: 3960824173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 4. Let c = -8 + r. Let k = -1 + c. Sort k, 4, 1 in decreasing order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 263. Let z(k) = -26*k. What is t(z(q))?\nAnswer: 52*q + 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37440 and 13476.\nAnswer: 42045120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -348488 divided by -343\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2125537 - -1?\nAnswer: 2125540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6086.\nAnswer: -30430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279616 + 37836 = -44*q. Is q a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18955*b + 18983*b - 1820 = 0. Solve -25*p = -b + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31615 is divided by 207?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -388129*h**2 - 59808*h - 2304.\nAnswer: -(623*h + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65022412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 2*2\/(-6). Let g = 3 + -2. Let a = -0.7 + g. Is t less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 27. Let y be t(-12). Suppose -j = -y*j + a + 13, 3*j + 4*a = 3. Let g be -5 + j - (-16)\/4. What is the third biggest value in g, 8\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 121*z**6\/120 + z**5\/60 - z**4\/6 + z**3\/3 - 20*z**2. What are the prime factors of g(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - (-1030)\/(-50))\/(((-24)\/(-25))\/(-12)). Let q = 137 + -77. Calculate the highest common factor of u and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 29639913, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367090 a multiple of 887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let i = -0.296 + 0.396. Let k = 1.5 + -2. Which is the fourth smallest value? (a) -1\/11 (b) s (c) i (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8333 by 10.\nAnswer: 8333\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 15, 0 = -5*o + 4*o - z - 4. What is the remainder when 28 is divided by (75\/10)\/(o\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Suppose -2*l + 18 = -x*l. Let k = -7 + l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 5\/3, -35 in descending order.\nAnswer: 68, 5\/3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16134984, 32269973, 48404962, 64539951, 80674940, 96809929?\nAnswer: 112944918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14)**(21\/4) assuming r is positive.\nAnswer: r**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvnnnvn. What is prob of sequence vvn?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/47451 or 1?\nAnswer: 4\/47451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/56 and 3\/42*1716\/26832?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/97086 and -73\/1210.\nAnswer: 5339730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2 - 19214*f**3 + 16*f + 19214*f**3 + 16*f**4 + 0*f**2 wrt f?\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 42 - 21. Suppose 3*s + 33 = 5*b, -2*s + 4 = -4*b + 5*b. Calculate the smallest common multiple of x and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 19*i - 5*i)*(2*i - 2*i + 3 + i).\nAnswer: -26*i**2 - 78*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -191323 divided by 5?\nAnswer: -191323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28528 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7487 + 7488. Is 19\/234 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0499 (base 11) to base 16.\nAnswer: -23e3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2508, -2565, -2624, -2685?\n\"Answer: -m**2 - 54*m - 2453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.0663 + -34.688. What is v rounded to two decimal places?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-53 + 18) - 19\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 8) + (-6)\/(-1). Let c(f) = -7*f**2 + 14 - 2*f - 10 - g + 0. Let i(q) = 8*q**2 + 2*q - 1. Give -6*c(d) - 5*i(d).\nAnswer: 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 2*f - f + 7, -4*q - 4*f = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 66*a = -69*a + 32, -s + 4*a = 41 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) -1\/4 (c) 3 (d) -0.3 (e) 11 (f) 0.24 (g) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*j + 110, -3*v = 3*j - 10 - 71. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -24.726?\nAnswer: 9.8904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 + 19 - 6*l**2 + 15 - 10*l**2 - 15 wrt l.\nAnswer: 4*l**3 - 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*t + 98603230 - 31*t - t**3 - 98603230 - 195*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (-13 - 5) + -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6733.5 - -12321.077.\nAnswer: 19054.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 - 51 = 0. Let k = v - -25. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2448001, 4896004, 7344007, 9792010, 12240013?\nAnswer: 14688016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.908 - 0.092. Let m = n - 34. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*o + 20 = -3*y, -5*y - 3*o = 18. Suppose -v = -2*k - 11, -6*k = 3*v - k - 33. What is the remainder when (2 + 5)*y\/(-1) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2181 - 2180.7. What is the closest to h in -5, 12, -1\/5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/15)\/((-1)\/(-3)). Suppose 5*t + 16 = -i*w, w + 6 + 8 = -4*t. Find the second derivative of -2*b**w + 3*b - 2*b + b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5957094 divided by 1703\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -63. Let c = x + 0. Suppose -c*j + 53 = 8. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8)*-5)\/((4015\/22)\/73)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*141\/(-54) - (-6)\/27. Let g(c) = -6*c**3 - 2*c**2 + 2*c - 5. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946292905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2676 by 75.\nAnswer: 892\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -6. Suppose -t = -4*g + 3. Suppose -o + 4 = -g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330335551 to the power of 1\/2, to the nearest integer?\nAnswer: 18175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -28. What is the common denominator of n and 31\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94019 divided by 94019?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83 and 4285536.58.\nAnswer: 4285619.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 44901.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) + sqrt(5) + 2) + 0 + (-4 + (1*sqrt(5))**2)*-3.\nAnswer: 9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 801457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -59*d**3 - 11*d**2 - 11*d - 9. Let v(r) = 29*r**3 + 6*r**2 + 6*r + 5. Let f(c) = 6*g(c) + 11*v(c). Differentiate f(o) with respect to o.\nAnswer: -105*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d + r = 13, d - 5*r - 15 = 0. Let k(x) = 6*x - 2. Let l(s) = -12*s + 5. Let t(n) = -5*k(n) - 3*l(n). Does 25 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 5*q + 2. Let m be i(-5). Let f be (18 - m)\/(-7 + 9). Suppose 5*c - c = f. Put c, -2\/7, 1\/7 in decreasing order.\nAnswer: c, 1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 12*j**2 + 3*j + 10. Is 56 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -4. Let y be 6 - (0 - n) - 2. Let z = 4 + y. Put z, -3, 4 in increasing order.\nAnswer: -3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 36154*t**2\/5 + 28928*t + 144648\/5.\nAnswer: -2*(t - 18081)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -166, -0.5, -1\/5, 2\/7, -2\/17333?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u**2 - u + 1. Let a be k(1). Let q = a - 9. What is the remainder when q is divided by (-44)\/(-572) + 284\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 + 2) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-525)\/(4950\/(-66))*64\/(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-24 - 4138*b**5 + 180*b**5 - 2287*b**5 + 41 - 18).\nAnswer: -6245*b**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043486138 to seven dps.\nAnswer: -0.0004349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/27*3)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8.3, -1\/8, -2869\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14bc6 (base 16) in base 14?\nAnswer: 22d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.039? (a) -2 (b) -2\/7 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 3*b + 1. Determine c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.028.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.1, 8, 311\/237?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3092710 - 6?\nAnswer: -3092716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 72. Suppose 2*s + 7*z - 4869 = 12*z, d*s = 2*z + 7309. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/3 - 3*a**2\/2 + 3*a. Let d be 30\/1*6\/10. Let o be (6\/d)\/(2\/(-18)). What is k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 241*o. Let v(g) = 5*g. Determine v(w(q)).\nAnswer: 1205*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:19 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 - 6*z + 7. Let m be i(5). Let t be (-3)\/(-3) - (-2 + -5). Let o = m + t. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19915.739 rounded to the nearest ten?\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/13 - 198*c**3\/13 + 5686*c**2\/13 - 37890*c\/13 + 32400\/13 = 0. Calculate c.\nAnswer: 1, 8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54 + -1 + (-1 - 2). Let t = a - -37. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -100*x + 174. Let u be r(13). Let t = -708 - u. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) -1.1 (c) 2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 5310.7\nAnswer: 5310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/5))\/m)**27\/(m*m**(-2\/7))**(-4\/33)*m**(-2\/5)*(m*m*m*m**(-2))\/m*m**4\/(m**(-2\/11)\/m) assuming m is positive.\nAnswer: m**(18097\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 0)*(38 + 22 + 8) - 4 - 4 + 6)*(22*q**3 - 11*q**3 + 55*q**3) to the form i*q**2 + o*q + a*q**3 + m and give a.\nAnswer: -9108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -470724, -470722, -470720, -470718?\n\"Answer: 2*q - 470726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 500250226?\nAnswer: 500250222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3083, 18, 2\/57 in descending order.\nAnswer: 3083, 18, 2, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.15404\nAnswer: -0.046212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 8 + 18 + -12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 w when four letters picked without replacement from wzzzzzw.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -0.4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 0.05.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*o)*(3*o + 2*o + 4*o).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 118\/531 + (-194)\/(-18) + -3. Which is bigger: p or 41\/5?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 464*t**3 - 40368*t**2 + 1560896*t - 22632992.\nAnswer: -2*(t - 58)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 798*b**5 - 193*b - 2 wrt b.\nAnswer: 15960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/5 - 8*l**4\/5 - 8*l**3\/5.\nAnswer: -2*l**3*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1 - 2*s**3 - 10*s**2 + 8*s**2 + 2*s - 2*s**3. What is n(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1461*i**4 - 3397*i**3 + 2*i**2 - 1129*i - 6723.\nAnswer: 17532*i**2 - 20382*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725 = 5*s - 0*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*l = -6, l + 0*l = 2*h - 2. Suppose h = -5*z + 3*y - 5, 0*z + 3*y = 2*z + 2. Let v(o) be the third derivative of o**4\/12 + o**2. Calculate v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titee. Give prob of sequence ie.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5*(1610\/98 - 10\/7). Let s = 0.36 + 0.04. Which is the second smallest value? (a) -3 (b) -2 (c) s (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 789160015 divided by -92897?\nAnswer: -8495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*q = -19, 63*r + 2*q = 61*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(7) + sqrt(7) + 4 + (sqrt(63)*-5 - sqrt(7)) + (-6*(sqrt(70) - 2*sqrt(70)))\/sqrt(10)).\nAnswer: -8 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4777?\nAnswer: 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.51 and 795.\nAnswer: 794.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763475439.\nAnswer: 3, 254491813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7864.116ml?\nAnswer: 7.864116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 11.68 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((-71 - -83) + 3 + -12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -2 (c) -11 (d) -26 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62505.9 and 2.02.\nAnswer: 126261.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*k + 1859*k**3 + 0*k + 5*k**2 + 173*k + 2 + 89*k**2 - 1860*k**3 wrt k?\nAnswer: -6*k + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-35) + (25\/525)\/(20\/267)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgvl when four letters picked without replacement from {v: 2, p: 1, f: 1, l: 1, m: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 1. Let j(y) = 3*y + 1. Let x be j(-4). Let d = x - -13. Let s(o) = -3*o**d + 2*o**2 + 3*o - 2*o + 1 - 2*o. Determine -n(r) - s(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.90300893 + -0.903. What is n rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -82*m - 2825. Calculate the remainder when y(-36) is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:56 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044 + 2*h - h - 15*h**2 - 9*h**2 + 27*h**2.\nAnswer: 3*h**2 + h + 4044","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 16\/1167, -4?\nAnswer: 16\/1167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2585)\/(-1034)*(-532)\/35\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*t**2 - 2 - 1 - 33*t**2)*(-t - 11 + 11 + (0*t + 3*t - t)*(-4 + 1 + 1)) - 4*t**3 + 2*t - 6*t + 3*t to h*t**3 + w*t**2 + a + l*t and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14233 and 149253?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.062, -8\/3 in decreasing order.\nAnswer: -0.01, -0.062, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14216 + 14227 - 28443 + 69*q**3.\nAnswer: 69*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2355731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + ((-4 + sqrt(272) + -1)*2 - 4*(sqrt(153) + sqrt(153) + -3*sqrt(153) + -5 + sqrt(153)))))**2.\nAnswer: 320*sqrt(17) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/1359 and 19\/151.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -32*a + 148 + 732. Calculate the remainder when a is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/(-3)*18\/4. Let r = p - 65. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgth. Give prob of sequence tg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let x(m) be the second derivative of -14\/3*m**4 + 0*m**3 + 0 - 25*m + 0*m**2. Calculate d(x(s)).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6413 and 3630.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + t + 2. Let l = 52 + -47. Suppose l*g = -g + 2*g. Suppose 5*c + p + 14 = g, -10 = 4*c - 5*c + 3*p. What is u(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812919917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6749.5 + 6750. Let z be (24\/(-2910))\/((-138)\/1685). Let r = z + -4\/291. Which is the second smallest value? (a) -0.03 (b) r (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -112 - (0 + 6 + (1 - 2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -120684, -120689, -120694?\n\"Answer: -5*a - 120679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 + 1213*l**4 + 87876*l**3 - 4885584*l**2 - 6780352*l + 6665328 = 0. What is l?\nAnswer: -278, -162, -2, 2\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Suppose -z = n*z. Solve 0 = -z*v - 3*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 615897 - 1221546 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g*g*g**(-5)*g)**(1\/7) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10084\/116 + 10\/(-9) + 458040\/8613 + -52.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 4 = 0. Suppose -l = i*l - 100. Suppose -3*b + l = 2*b. Solve -5*m = 2*p - 8, b*m + 4 = -p + 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k + 2. Sort k, -2, 5 in increasing order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/55*(1914\/9)\/(-29)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 261*t**2 - 4131*t - 75. Determine s(15).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2\/5 - 159*g\/5 + 588\/5 = 0?\nAnswer: 4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*(-72)\/17136*-119.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84\/1385 in 4\/7, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.72 times -238\nAnswer: -1123.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13881107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:23 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-65.1.\nAnswer: 149.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 370, 254, 142, 34, -70, -170?\n\"Answer: 2*f**2 - 122*f + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 19. Suppose 21 = -9*v - 136 - 14. Are y and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 29333910?\nAnswer: 674679930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9511\/15 + 635. Let p(r) be the second derivative of -m*r**6 + 5*r + 3*r**4 - 10\/3*r**3 - 4*r**2 + r**5 + 0. Suppose p(u) = 0. Calculate u.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 + 315. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46383, -66841, -100937, -148671?\nAnswer: -210043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84743 (base 9) to base 16.\nAnswer: daca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:19 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05155543 take away 1.9?\nAnswer: -1.95155543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(99)\/(-2*sqrt(36)\/sqrt(4))*-4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*l + 40 = -0*g, -2*l = -4*g + 150. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 134251.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.77 + 0.03. Let o = w - 1.8. Let b = 0 + -3. What is the closest to o in b, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2 + 6, 4*f + 4*j = 0. Suppose -3*a = -a + f. Let n be 7 + -7 - (a + -3). Solve 3 = -3*r - n*i, -5*r + i - 16 = 4*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 21.\nAnswer: 179\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*j = -32, -5*k + 4 = -3*j - 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3312980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 8:34 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/425*15*5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58537, 51407, 44253, 37063, 29825?\n\"Answer: -2*a**3 - 7116*a + 65655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 74 + 68 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/(b*b\/(b*b*b**(-2\/3)*b*b))*(b**(-10)*b)\/(b\/(b**(1\/4)\/b)*b) assuming b is positive.\nAnswer: b**(-173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12045 - -14212. Is w a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*v**2 - 41*v**2 + 181*v**2 - 49*v**2 - 31 - 51*v**2 as s*v**2 + i*v + k and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 98\/(-21)*9\/(-6). Let q(d) = -d**3 + 8*d**2 - 6*d + 2. Let f be q(r). Suppose -i - 5*o = 23, 0 = 4*i + 92*o - 87*o + 17. Solve f*n + i = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26961 is divided by 442?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(21*49\/(-98))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118031989 and 18327?\nAnswer: 6109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378 is divided by 673.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1, -0.022, -0.4, 97, -5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1572549, -3145100, -4717651, -6290202, -7862753?\nAnswer: -9435304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.12521 months to decades.\nAnswer: 0.08437675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 15*s - 37. Let x be v(-11). Let n be ((-6)\/(-8))\/(x\/28). Solve 0 = -k - 2*j - 7, 0 = -n*k - 0*k - 5*j - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -7. Suppose 33*p = 47*p - 56. Suppose -p*g - 5*x + 105 = g, 4*x - 106 = -5*g. What is the least common multiple of g and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/9 + 142*y**4 + 204770*y**3\/9 + 61870*y**2\/3 - 2879932*y\/9 - 1628176\/3 = 0 for y.\nAnswer: -319, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 6*c - 4. Let v(n) = -11*n**2 - 13*n + 8. Suppose -49 = -5*o - 4*m, -8*m - 46 = -2*o - 3*m. Give o*i(x) + 6*v(x).\nAnswer: -x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -17. Let w = 1.09 - 0.19. Let r = w + d. What is the closest to r in 1, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4*t - 5*d**3*t - 60852*d**3 - 39295*d*t - 16*d - t wrt d?\nAnswer: 12*d**2*t - 30*d*t - 365112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 1)*(3 + 9\/4). Suppose 18*z - 6 = r*z. Let h be z*((-9)\/12 - 3\/4). Solve p - 5 = j, -h*j = -5*p + j + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 57*j**2 - 3*j + 1. Let d(f) = -172*f**2 + 10*f - 3. Let y(q) = 2*d(q) + 7*i(q). Is y(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) -0.026 (c) 3\/2 (d) 2 (e) -99\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(11) - -3*sqrt(22)\/sqrt(2))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -6 + 3 + -1 - 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20300097 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose h = -4*y + 187 - 51. What is the highest common factor of 85 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h = -17 + 4, 0 = -4*x + h + 5. Let q be 16\/6*(-30)\/(-20). Solve -2*z + 14 = k + x*k, -k = 3*z + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**3\/3 - w**2\/2 - 2*w + 20. Let d be (0 - 3)*(0 + 1). Calculate u(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from accaacaacaaaaa. Give prob of picking 4 a.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8640 and 1176960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.422597ug to nanograms.\nAnswer: 422.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 147. Suppose 3*r + 22*r - 3150 = j. Calculate the greatest common divisor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6738983011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/6)*a\/((a**(2\/9)\/a)\/a)*a**(1\/10)*a*a\/a**11 assuming a is positive.\nAnswer: a**(-283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8\/3, -3, -1\/11, -4.15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7263*-38\nAnswer: -275994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -ae586 (base 15) to base 5\nAnswer: -120223001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12490622 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 3*j - 9. Suppose -j*a + 373 = 2*g, -a + 131 = -3*g + 2*g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 12*s = 33*b - 8*b + 20, 5*b = -3*s + 43 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q + 3*v = 41*q + 34, 27*q - v = 32*q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3361*y**2 - 2*y**3 - 1475*y + 3361*y**2.\nAnswer: -2*y**3 - 1475*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 3*k + 3. Let r(q) = 6*q + 2*q**2 + 2*q**2 + q**2 + 7 - 6*q**2. Let j(u) = -7*h(u) + 3*r(u). What is the second derivative of j(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -15, -27, -55, -105, -183, -295?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, -1, -3\/4, 0.5, -0.54 in descending order.\nAnswer: 0.5, 3\/11, -0.54, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**2\/2 + 2*i + 62. Suppose f = -4*v + 3 + 3, 0 = 2*f - 4. Let p be (-4)\/(v + 1) + -1. Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2 + 45*h - 870.\nAnswer: -2*h + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -946 - -6623\/7. Suppose -c*m**2 + 6\/7 - 5\/7*m = 0. Calculate m.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*y - 152 = 0, 2*x = 4*y + 70 + 2. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + -1 + -1 + 54 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/111503 or -1?\nAnswer: 6\/111503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*l - 312*l - 319*l - 310*l + 1555*l - 314*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 - t - 1. Let g(s) = -s**2 + 4*s + 4. Let d be g(5). What is k(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 36. Suppose 3*l + 0*l - w = 0. Let p = 0.4 - -0.1. Which is the closest to 2\/3? (a) l (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1895504 nanometers?\nAnswer: 0.0001895504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7719 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9896 - 39293\/4. Which is smaller: 73 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29 - 29 + 16*i**5 + 17*i wrt i.\nAnswer: 320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160324?\nAnswer: 2, 149, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 62*p**2 + 64*p - 4. What is q(-63)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9621 and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344 - -219. Which is the nearest to f? (a) 1\/4 (b) 1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:30 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 23 + 5 = 0. Let i(h) = -h**2 + 9*h - 7. Suppose 14 = 5*a - 4*s, -2*s + 2 = -a - 0. Calculate the smallest common multiple of a and i(d).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 69*z**2 - 2. Let f be k(2). Suppose 0 = -2*s + 2, 0 = 2*x - 3*s + 39 - f. What is the remainder when x is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*o = 8*x - 54900, 4*x - 73205 = -5*o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 84 - 31 + 283. What is the tens digit of l(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - 9\/(-3)) + 9. Suppose -p*d = -64 - 16. Calculate the greatest common divisor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.3 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2959 and 8339.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340463 (base 7) in base 16?\nAnswer: -4828c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37276954 by -1573.\nAnswer: -23698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68319786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 32*m - 36*m + 6160, 0 = 5*j - 40. Calculate the remainder when 3072 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-10)*g*(g\/g**(-13))\/g)\/(g*g*g\/g**(2\/5))**(2\/9))**(-7\/3) assuming g is positive.\nAnswer: g**(-1393\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 3\/(-6))*(-144)\/(-9). Let q be (-2)\/d - (35\/(-4) + 3). Solve 0 = -q*h - 30 - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from {h: 1, z: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313842317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/3 - 5*q**3 - 26*q**2\/3 + 40*q = 0. What is q?\nAnswer: -12, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from {a: 1, s: 7, t: 3, y: 5}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4122 - -0.4122. What is the nearest to 0.1 in 1\/4, 0.3, -7, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 16. Suppose 7 = 3*h - 2*x, -h + m*x - 2*x = 7. Solve h*g + 41 = -4*c, -4*c - g + 4 = -5*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39a - a7382?\nAnswer: -a7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -394*t + 11827. Determine i(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-62)\/(-93)) + ((-9)\/6)\/(-3). Let w(d) = 20*d**2 + 2*d + 4. Give w(u).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b - 200. Determine u(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3852699 by 3.\nAnswer: -1284233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -20*c + 142. Calculate the remainder when 94\/(4\/1 + -2) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 56*i**2 - 57*i - 106. Let s be t(-55). Solve 3 = -s*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 a factor of 495272112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 - 18057.9.\nAnswer: -18086.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135\/45*8298\/6454?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose -2*y - n = y. Let z(h) = -10*h - 1. What is the remainder when 15 is divided by z(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 - 1638*x**2 + 11*x + 83 wrt x.\nAnswer: -12*x - 3276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a\/a**12*a*a))\/a**(-2\/13))\/((a*a*a**(4\/3))\/(a*a*a**(-2))) assuming a is positive.\nAnswer: a**(266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/10081 and -25\/144.\nAnswer: 1451664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.22214 millennia in years?\nAnswer: 10222.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b**5 + (0*b**2 + 0*b**2 - 2*b**2)*(0 + 0 + b**3))*(-41 - 17 + 14 + (2 + 1 - 5)*(0 - 2 + 1) - 2 - 1 + 2).\nAnswer: 43*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybl when three letters picked without replacement from llffrrlrpbppy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*v - 8*v**3 - 128\/3 - 2\/3*v**4 - 104\/3*v**2.\nAnswer: -2*(v + 2)**2*(v + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 445963*h - 445964*h + 5 + 0. Let p = 10 - 7. Let y(m) = m**2 - 2*m + 3. Let l be y(p). Calculate f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8513, 17026, 25539?\nAnswer: 34052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 12\/8)*-10 - 3. Suppose u + 62 = 3*d - 0*u, -i*d - 3*u = -45. What is the greatest common factor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*t + 7, t + 2 = -2*b + 3*t. Let l(x) = 6*x**2 - 3. Let a be l(-2). Let z be 27\/a - 1 - 620\/(-35). Put 1, z, b in decreasing order.\nAnswer: z, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 - 7 + 2 - h + h**3 + 0*h + 7*h**2. Let n be v(-6). Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**8\/2352 - u**7\/490 - u**6\/280 - u**5\/420 + 3*u**2\/2 + 5. Let a(w) be the second derivative of c(w). Factor a(o).\nAnswer: -o**2*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - 1. Let v(l) = -l**4 - 19*l**3 - 3*l**2 + 72*l - 3. Let d(s) = 3*j(s) - v(s). What is the second derivative of d(k) wrt k?\nAnswer: 12*k**2 + 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/35)\/((57\/(-190))\/(3\/4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/60 - 5*n**4\/24 + 7*n**2. What is w(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38329669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 70 = 2*f, 54*m + f - 3*f - 175 = 49*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3 - 78084*r**2 - 1405018*r - 6009696 = 0.\nAnswer: -39024, -11, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = p, -62*v = -59*v - 2*p + 3*p - 46. Suppose -4*s = -6*s + 444. What is the smallest common multiple of v and s?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 9?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 p when four letters picked without replacement from rpdppdvvpdd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 7. Let c be h(-5). Let r be 28\/(2\/c*2). What is the highest common divisor of r and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - y - 9. Determine d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23222\/7 + 3318. What is n in -54\/7*n - j*n**3 - 20\/7 - 30\/7*n**2 = 0?\nAnswer: -5, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6213 is divided by 389.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 22*j - 21*j. Let a = 29 - 139. Let x be 75\/a*j\/15. Is -2 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvjvvjjvvjvvv. Give prob of sequence jjjj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (204\/15)\/((12\/(-10))\/(-3)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 2, 3, 505, -4, -106 in decreasing order.\nAnswer: 505, 3, 2, -4, -104, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 18. Let b be h(-6). Let q be b\/(-12)*36\/1. What is the first derivative of 2 + q*k**4 - 46*k**4 + 0 wrt k?\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*z - z - 11*z)*(-3 + 4 + 0) - z - 5*z + 4*z)*(-2*z + 5*z - 6*z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6*-20)\/(318\/(-7387299)). What is h rounded to the nearest one thousand?\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + 91*m**2 - 25*m - 85. Determine r(-23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -49*w**6 - 5*w**3 + 3*w**2 + 12. Let m(o) = -48*o**6 - 4*o**3 + 3*o**2 + 11. Let c(t) = 4*j(t) - 5*m(t). What is the third derivative of c(f) wrt f?\nAnswer: 5280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 4, b: 1, q: 1, l: 9, d: 1}. Give prob of picking 2 l and 1 d.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, -19, -72, -137, -208, -279?\n\"Answer: r**3 - 15*r**2 + 3*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 17*o**2 + 23 - 23 + 2*o.\nAnswer: -2*o**3 + 17*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*3\/(-90)*45\/(-40)*2\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8)\/(18620\/(-2280)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/15)\/(-7))\/((-3)\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -2*w + 1974, 924 = 5*n - 3*w - 314. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -394 + 196 + 200 - 12437*o**2 + 151*o**2 as j*o**2 + b + y*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.71484 * -5.\nAnswer: -18.5742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87237, -87431, -87763, -88239, -88865, -89647, -90591, -91703?\n\"Answer: -t**3 - 63*t**2 + 2*t - 87175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57368.9 grams to kilograms.\nAnswer: 57.3689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -1816, -3831, -6658?\nAnswer: -10297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 54*h - 2*v - 19 = -3*h, 0 = -2*h - 3*v - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-3 + (-4 + (-2*sqrt(475) + sqrt(475))*-4 + sqrt(475)*-2 + -3 + -2)**2).\nAnswer: -900*sqrt(19) + 9894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 631525589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 614*d**4 - 784 wrt d.\nAnswer: 2456*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 2. Suppose -s*v = -0*w - 5*w + 30999995, v + 3*w + 15500003 = 0. What is v rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 108. Let s(g) = -1. Give h(p) + 6*s(p).\nAnswer: -2*p + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 5, m: 2, k: 1, o: 1}. Give prob of sequence mzo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3352, -6504, -9658, -12814?\nAnswer: -15972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 113*w - 105*w + 220*w to the form f + v*w**2 + m*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*u - 1125*u + 405 = 33 - 122 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712074 and 107844?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 243*v + 989. Let d be m(-4). Solve 7*c + 4*z - d = 4*c, -5*c + 9 = -3*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1159 times 722?\nAnswer: -836798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -1\/3*t**3 + 14*t - 2*t**2 + 9. Let y be d(-6). Which is the smallest value? (a) -3\/7 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 34, 35, 36?\n\"Answer: z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 - 381 - 3554*q**3 + 3263*q**3.\nAnswer: -291*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*f = -0*v - 51, -4*f - 138 = 3*v. Does 3 divide v\/49*(-1 + -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/(-1)*(3 + (-21)\/6). Suppose 33*s - y*s = 6. Let p be 1\/((s - 1)\/4). Solve 0 = -3*q + p*g + 11, -q - 3*g = 2*q - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108.6 + 103.6. Which is the third smallest value? (a) y (b) 3 (c) -1\/2 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0, 2\/5, 2\/23, -0.07, 2\/9, -1.17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3206 - -2.7214. Let w = k - 0.042. Let m = -4 + w. Which is the third biggest value? (a) 1 (b) 0.3 (c) m (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 9*r**2 + 14*r + 11. Let o = 38 + -45. Let t be g(o). What is the second derivative of 24*i + t*i**4 - 122*i + 56*i wrt i?\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -47, -143, -297, -521, -827, -1227?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331013133 (base 4) to base 15.\nAnswer: 1047b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 4*t**4 - t**4 + (8*t**2 - 2*t**2 + 9*t**2)*(2*t**2 - 3*t**2 - 5*t**2).\nAnswer: -88*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqqtwkqqtl. What is prob of sequence kqt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 2112211201201112?\nAnswer: -2112211201201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/11 - 926*c**3\/11 + 17020*c**2\/11 - 5984*c + 49728\/11 = 0. What is c?\nAnswer: 1, 4, 14, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -127 + 36. Solve -3 - u = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.26529179 - 4\nAnswer: -6.26529179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25983.61 nanoseconds?\nAnswer: 0.02598361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/8 + 3*k**3\/8 - k**2\/4.\nAnswer: -k**2*(k - 1)**2*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - y**2. Let f(j) = 2*j**3 - j**2. Let l(d) = -7*f(d) + 5*p(d). What is l(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101, -105, -109, -113, -117?\n\"Answer: -4*o - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.7 + 6. Let o be (2\/(-8))\/(9\/(-36)). Suppose 0 = -2*j - 6, k - 4*j = 11 - o. Which is the nearest to 0? (a) k (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127047, 127049, 127051?\nAnswer: 127053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 1\/5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -3. Suppose -2*w = -1 - 5. Let k be (-10)\/(-2)*(w + -4). Is s greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 14}. What is prob of picking 2 s and 2 u?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {t: 5, v: 1, p: 1, k: 4, z: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/13217180 and -63\/2298640?\nAnswer: 52868720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:59 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10*b + 6*b = 467, 8 = -4*b. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, -2\/13, -5 in ascending order.\nAnswer: -23, -5, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68072 and 2540?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -331326 (base 11) in base 10?\nAnswer: -528798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 7. Let t be w(9). Suppose 13*y - 262 = t*y. Let o(d) = -131*d - 2*d**2 + y*d. Let z(c) = 2*c. Determine z(o(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 24*x - 95. Let g be j(4). Which is the second smallest value? (a) 0 (b) -5 (c) g (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*r - 654*r - 729 + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3600 (b) 80 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w + 25 = 0. Let v = 15 + w. What is the greatest common divisor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**7\/420 - j**6\/72 + 4*j**3\/3 - 9. Let p(d) be the third derivative of f(d). What is the third derivative of p(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85362 and 38540.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:13 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/4)\/(r**(-4\/5)\/r))\/(r**(1\/4))**(3\/31))**(-3\/5) assuming r is positive.\nAnswer: r**(-477\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 4 (b) 1\/3 (c) -2\/17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1012*r*t**3 - 8168*r*t*x**3 - 2469*t**3*x**2 + 2*t**3 - 4*t**2*x**2 - 6*t**2 + 2*t*x**3 wrt r.\nAnswer: -1012*t**3 - 8168*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 900.9561 hours?\nAnswer: 3243441960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(-38)\/((d**(-2\/9)\/d)\/(d**3\/d*d)) assuming d is positive.\nAnswer: d**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 3160281*m**2\/4 - 2496842419599*m\/4 - 2496845579881\/4.\nAnswer: -(m - 1580141)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -82*i. Let t(n) = 14*n + 2*n - 24*n - 18*n - 5*n. Determine t(v(a)).\nAnswer: 2542*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u - 17. Calculate j(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 341, 335, 327, 317, 305?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4116 and 13\/2744.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 303.82956ns?\nAnswer: 0.0000000000843971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d = 69*d + 99*d + 27*d - 16958 for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1794)\/23)\/(3\/(3\/(-2))))\/((-39)\/(-65))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 - 6*c**2 + 11*c + 10. Let v(w) = -3*w**3 + 9*w + 1. Let d(s) = -v(s) + y(s). Determine d(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 72 + 90, t + 5*p + 29 = 0. What is the closest to t in 6, -0.2, -3\/17, -3?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823419542 a multiple of 2455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 4*g + 5. Let r be o(4). Let k be (-192)\/80 - (-2)\/r. Let a be (k + 5)\/(3\/(-1820)). What is a rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2696*q**3 + 125861.\nAnswer: -8088*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 z when four letters picked without replacement from {j: 3, p: 2, z: 4, m: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = 66321 - 172287. List the prime factors of p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (2\/3)\/(9\/2943). Let p = w + 546. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399422513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242124, 0.2, 7, 92.\nAnswer: 0.2, 7, 92, 242124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = -5. Is -4 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6564 to two dps.\nAnswer: -7.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 825046453 to the power of 1\/2, to the nearest integer?\nAnswer: 28724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 10 - (-33 + 4060\/175))\/(15\/(-325)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:30 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:01 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from uuwuuuuyuuuuuuuu?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2298 (base 15) to base 16\nAnswer: 1caf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -2. Let k be 2 + -1 - 0\/r. Let y(x) = -x - 2 + 0 + k + 2*x. Let z(b) = 2*b**2 + 3*b - 3. Give -3*y(d) + z(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 164989 times 4\nAnswer: 659956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197589222 a multiple of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 31\/(1\/(-1)). Let u = -19 + n. What is the units digit of (-24)\/u*(-20)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -24, 3*o - 18 = -3*k. Let z(w) = w + 1. Calculate z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 5 - -3) + 11 + -13 - (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.029? (a) 4 (b) 0.758 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**4\/4 - 2*l**3\/3 - 15*l**2\/2 + 2*l + 8. Let o be v(7). Suppose -10*b + o = -4*b. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 9. Let u be o(6). Solve u*d - 6 = -21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 186 (b) -0.16 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dc759 (base 14) in base 12?\nAnswer: 43818b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18580965*0.3.\nAnswer: -5574289.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2 - 75677134*i - 131021855 with respect to i.\nAnswer: -2*i - 75677134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000396252 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/15)*s)\/(s**(-12\/13)\/s))**(-45) assuming s is positive.\nAnswer: s**(-1749\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.63856*-354\nAnswer: 934.05024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose 3*i = d*i + 6. Suppose 0 = u - 2*s + i, 0 = -3*u + s - 2 + 4. Calculate the least common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7867 - 15774 + 7907 + 8*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + 2504\/(-228))*(-11)\/((-44)\/24)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4159220\/7 - -594252. Suppose 8\/7*u + 276\/7*u**4 - j*u**3 + 0 + 260\/7*u**2 = 0. Calculate u.\nAnswer: -2\/69, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155147488 - 4?\nAnswer: 155147484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -724095878?\nAnswer: 724095878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221068 is divided by 4910?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1565, -0.4, 1, 4, 6\/13.\nAnswer: -0.4, 6\/13, 1, 4, 1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 7001537.\nAnswer: -3\/7001537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*c - 853*c + 18338 = -1325*c - 12637 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4458 divided by 12545.\nAnswer: 4458\/12545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:21 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 6*y - 3. Give b(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76 + 5?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51107 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239960131 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 7:01 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/866 and -2 + (-3)\/36*-426.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:01 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 3, -5, 7, 104 in decreasing order.\nAnswer: 104, 7, 4, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 4*g**2 - 56*g - 291. Determine d(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -486 - -801. Suppose -6*y + i = -y + 5*k, -3*y - 2*k + 191 = 0. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/9, -1.28, 0.1, -329?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.97 - 5.2. Let l = 0.43 + i. Let g be (-6)\/4 - 1\/(-2). What is the third smallest value in g, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 + 7. Let r be 9\/4 + (-45)\/(-60). Let w be r\/(-126)*-2 + (-2)\/6. What is the closest to -1 in w, 5, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t. Let g(j) = 38950 + 260*j - 19471 - 19479. Give p(g(a)).\nAnswer: -1300*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u + 127. Let m be x(13). Suppose -230 = -m*i + 570. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7cb251 (base 13) to base 16\nAnswer: 2d4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58545126.\nAnswer: 2, 3, 97, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, 10, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.44087 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 13*y**3\/4 - 8*y**2 + 5*y.\nAnswer: -y*(y - 10)*(y - 2)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + sqrt(704) + 0) + 5)**2*-1.\nAnswer: -25369 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -54*g**2 + 17. Let i(k) = 5*k**2. Calculate i(y(p)).\nAnswer: 14580*p**4 - 9180*p**2 + 1445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/15)\/((-1)\/(-5)). Let o(u) = -2*u**a + 3*u + u**3 - 3*u**2 - 5*u - 1 + 0*u. Let x be ((-3)\/9*-1)\/((-1)\/3). Determine o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t - 10. Suppose 2*b - 35 = 5*j, 0 = 5*j - j + 12. Suppose u = t + b. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnny when four letters picked without replacement from {n: 9, y: 5, d: 1, x: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(375) + sqrt(375))\/(sqrt(40)\/sqrt(2)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16622 + 77262 - 5771 = 6015*q - 89491 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7129923448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1974172c - 4?\nAnswer: 19741728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 31. Let n = 77 - z. Suppose -5*i = 4*p + n, 23 = -4*i - 3*p - 9. Let r(c) = -c**2 - 5*c - 7. Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62654902.\nAnswer: 2, 31327451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 1. Let n be 153\/21 - 2\/7. Suppose -5*o - 2*f - 10 = -n*f, 2*o + 19 = -3*f. Does 2 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/4, -3\/5, 697\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**7\/1260 - k**6\/900 + 5*k**4\/12 - k. Let v(u) be the third derivative of o(u). Factor v(c).\nAnswer: 2*c*(5*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 90825, 90826, 90827, 90828, 90829, 90830?\n\"Answer: a + 90824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 0 - 3796*q + 3716*q in the form t + j*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g - 5*g + (-g - 1 + 1)*(-5 + 5 - 2))*(2*g**3 - g**3 + g**3)*(-3*g + 4*g - 2*g).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1038 and 10324\/(-6675)*10*(-3)\/12?\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a + 13. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:43 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafzafzvcpz. Give prob of picking 1 f and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 52*o - 530. Let t be l(38). Solve t*y = 25*y + 69 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4423.0044085 + -4423. Round q to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 4, v: 3, y: 4, s: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.58 - 2.5800005668. Round g to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w**2 + 0 - 4*w**2 - 4*w**2 + 6*w**2 + (4 - 2 + 0)*(3*w**2 - 2*w**2 - 3*w**2).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/24)\/(110\/40)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 182*l + 1827. Determine b(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/63 and -107\/7826.\nAnswer: 70434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -ae?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 26533140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 465?\nAnswer: -4\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5576?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2580 - -1159. Let b = l + 1420.995638. What is b rounded to 4 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1471\/3 + 491. Let l be (8\/70)\/(((-70)\/(-25))\/(-7)). What is the closest to -1 in b, l, -2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qffq when four letters picked without replacement from ffnffffqeqlbfflfnq.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g + g - 2*x, g - 5*x - 32 = 0. Let m be (-9)\/g + 44\/16. Find q such that q - 2 + m*q + 0*q**2 + 2*q + 3*q**2 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = o - 0*v - 18, -5*v - 805 = 2*o - 1620 + 772 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030393 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -10234?\nAnswer: 10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20490*z**5 - 35169*z**2.\nAnswer: 1229400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - i + 1037 = -563, -i = 4*x + 6425. Let v = x + 12863\/8. What is the common denominator of v and 99\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*k + d + 14, -4*d + 3 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoeqoqookoddkqo. What is prob of picking 1 o and 1 k?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 14*s**5\/5 + 7*s**2\/2 + 103. What is the second derivative of j(k) wrt k?\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 2658 - 278. Let x = z - -625. Let l = -76 + x. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 766880 = 4*y, 623*y + 10 = 621*y. Round v to the nearest 10000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -eec (base 15) to base 4\nAnswer: -310230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 + 267. What is the third smallest value in 2\/11, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/3 + -4. Suppose 2*l - m - 1 = 0, -4*l = -4*m + m + 1. Let d be (-2)\/(-20) - l\/(-5). Put w, d, -2\/15 in decreasing order.\nAnswer: d, -2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 221. Let d(t) = -8*t. What is d(m(x))?\nAnswer: -8*x + 1768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = -3*z + 5*c, 3*z - 2*c - 9 = 0. Suppose -2*j + 3*o = -22, 3*o - 46 = j - z*j. Differentiate -3*v - j + 2 - 6 + 4*v with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18648591, 37297139, 55945687, 74594235, 93242783, 111891331?\n\"Answer: 18648548*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5, e: 4, p: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -64, -24, 52, 176, 360?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*v - 31460 = -2306 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 2. Suppose 4*c = c - 9. Let z be (c - -2)*-1*5. Let j = 2 - z. Determine x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16*m = 0. Let b(n) be the second derivative of -2\/75*n**6 + 0*n**5 - 4*n + 1\/15*n**3 - 1\/105*n**7 + 0*n**2 + m + 1\/15*n**4. Factor b(f).\nAnswer: -2*f*(f - 1)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 - 9*m. Suppose -2*x = -x + 9. Let u be d(x). What is the second derivative of -3*a + 0*a - a**3 + 4*a + u*a**3 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582059 is divided by 1929.\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11712337, -46849330, -105410983, -187397296, -292808269?\nAnswer: -421643902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Let s = 2 + j. What is the derivative of 3 + 7 + 355*m**2 - 354*m**s wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**6\/6 + 4*v**5\/5 + 3*v**4\/2 + 4*v**3\/3 + v**2\/2 + 1. Factor k(z).\nAnswer: z*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/11 (b) 0.09 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 31. Suppose 2*b = 7*b - a. Suppose 0 = 3*g - 4*k - b - 32, 5*g - 3*k = 53. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 1286*b - 1285*b + 20, -9*b + 5*b - 4*u = 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 + 7*i**2 + 1 - 3*i - 4*i + i**3. Let z be j(-6). Let p = z + 14. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126657111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11996*p*x - 63189*x wrt p.\nAnswer: -11996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -456, -719, -982, -1245, -1508?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -525, -785, -1033, -1263?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*h + 74051 - 102814 = 128431. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 388 = 3*w, -233 = 4*n - n + 2*w. What is the remainder when n\/(-4) - (-9)\/(-36) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + 9 + -13 - -1831 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 1\/12, -3, -129 in increasing order.\nAnswer: -129, -3, -6\/5, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22311897 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.5 + 7.5. Let v(y) = 4*y + 2. Let g be v(5). Suppose 0 = -5*l - 3*k - 14, 2*k = 3*l - 3*k + g. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(133)*2 - sqrt(133)))\/(sqrt(448)*2).\nAnswer: -1 - sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 12*m**2 - 345*m - 4313. Let f be l(-13). Solve -3*j - 5*g - 9 = -5*j, -2*j = f*g + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2055.716l?\nAnswer: 2055716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 20*g**2 + 5*g + 7. Give y(20).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*5\/(-45)*81\/(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u - 14. Let v(a) = -5*a**3 - a**2 + 5*a - 4. Let n be v(1). Let l be p(n). Let o = -115 - l. Calculate the least common multiple of o and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19562.\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 789812*z + 77975374418.\nAnswer: 2*(z + 197453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*i - 422*i + 28 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 438034, 875916, 1313798, 1751680?\n\"Answer: 437882*t + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 291898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 + 17*w**4\/24 - 28*w**3\/3 - 8*w**2. Does 9 divide k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61697.77 centimeters?\nAnswer: 616977700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*k + 242 = 0, -q + 4*k = -0*q - 109. Let g = 27 - q. Let t = -41 - g. What is the highest common factor of 147 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31121684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let f(l) = -l**3 - 2*l**2 - l - 12. Let j(w) = w**3 + w**2 + w + 1. Let v(x) = z*j(x) - f(x). List the prime factors of v(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/(-10))\/(-3))\/(3\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 823435 divided by 5.\nAnswer: 164687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:10 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6049 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -1110110000110000?\nAnswer: 1110110000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17 = 3*w - 5*p, 5*w + 3*p = -25. Let t be (-15)\/(w\/12*2). Let b = -19 - -37. Calculate the greatest common divisor of b and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:17 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 2*k, 4 = 3*m - 4*k. Suppose 0 = -4*d + 2*d + m. Suppose -o + a = -8, -d*o + 2*a + 44 = 7*a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3*h + 5, 43*c = 47*c - 5*h - 13. Solve 0 = -7*l + 8*l + c*n + 2, 4*l = -3*n - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 + -272. Let m = -538\/9 - f. Is m at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - 2 + 2 + s**3 + 4*s**2 - 4*s**2 + (-17*s**2 - s**2 + 8*s**2)*(2*s + 2*s - 2*s) + 11*s**2 - 11*s**2 - s**3.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -0.22107778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u - 2. Let c be r(-3). Let s(g) = g**2 + 51*g + 118. Let q be s(-46). Let l = q - c. What is the greatest common factor of l and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1.31, 2, 0.4, 1\/9, 10?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(441)\/sqrt(7) + 1 + -4)*3*5.\nAnswer: -15 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j + 5783 = -84*j - 2402 + 85 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:32 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a + 2 - 2*a**2 - 2*a - 4*a + 9*a. Let x be o(8). Let m = -23 - x. Solve t + 2*t + r = -1, 0 = 4*t - 3*r + m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.227?\nAnswer: 3.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wobu when four letters picked without replacement from {u: 1, b: 2, w: 2, o: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let j = -0.06 - -0.36. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/60 - z**5\/20 + z**4\/6 - z**3\/2 + z**2. Let u = -58 - -58. Suppose o = -u*o + 2. Give c(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*p + 41 - 23 - 9)*(p - 3*p + p) as n*p + v + u*p**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 - 60 = 5*w, 3*w = -4*k - 40. Is 47 a factor of (((-180)\/w)\/9)\/(2\/376)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(7)*-1 - sqrt(7)))\/(sqrt(5) + (sqrt(5) - ((-2*sqrt(15) + sqrt(15))\/sqrt(3) - sqrt(5))) - sqrt(5)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-12)*4140\/(-168360)\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 + 9202408*j\/15 + 6134936\/5.\nAnswer: 2*(j + 2)*(j + 4601202)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -7*h**6\/6 - h**3 + 7. What is the third derivative of k(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 135 = 3*z. Let j be (-9)\/4 - 23\/z. Let k(q) = 7*q + 3. Give k(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*k + 5438 = -4507 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from jjayajyjjjjaa.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.9488ng in tonnes?\nAnswer: 0.0000000000003819488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/(y*y*y**(-1\/5))*(y**(-4)*y)\/y**(-2))\/((y**(-1)*y)**(-15\/8)\/(y**(-3\/8)\/y**(-1\/2))) assuming y is positive.\nAnswer: y**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 3. Let m(l) = 6*l - 5. What is -6*m(r) + 10*s(r)?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3771751 times 70?\nAnswer: 264022570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112 + 214*o**4 + 1632*o + 203 - 3257*o + 1625*o wrt o.\nAnswer: 856*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 19 - 111. Suppose u = 5*r - 129. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11974.\nAnswer: 2, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 g when three letters picked without replacement from {w: 5, g: 1, z: 3, i: 3, v: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 1, 9, 396.\nAnswer: -15, -5, 1, 9, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away -1860527?\nAnswer: 1860547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/126)\/((-33)\/(-28))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -2 (c) -0.6 (d) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 8\/1445, -2, -1\/3?\nAnswer: 8\/1445","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5873 - 11766 + 5893 - 9*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 2*m**2 - 12*m - 35. Calculate the lowest common multiple of b(-3) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 2*a)*(-a - a - a) - a**2 + 3*a**2 - a**2 - 2*a**2 - a**2 + 7*a**2 + (-4 + 1 - 1)*(-a**2 - 3*a**2 + 6*a**2).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a factor of 238980408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1859 - -1539. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11. Suppose -2*z - 6 + 10 = n. Suppose 5*h + 3 = 3*p + 2*h, 0 = p - 4*h + z. Solve p = 2*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:06 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10.5. Let s be 19\/(-7) + 4\/(-14). Let u = -9 + 4. Which is the second biggest value? (a) s (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/(-2) + (-36 + -31 - -98))\/(5\/(-24))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:34 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 4. Let t be j(4). Let n = -4 - t. Determine k, given that 0 + 8*k**2 + 0 - 2*k**2 + 2*k - n*k**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) -0.07 (b) 2 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14848940 and -0.1?\nAnswer: -1484894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1694, -2119, -3274, -5525, -9238, -14779, -22514?\n\"Answer: -61*g**3 + g**2 - g - 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7798901.3 to the nearest one thousand.\nAnswer: 7799000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236162 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*y + 8, -4*y - 11 + 1 = 5*j. Suppose 3*d + 7 = -8, 2*g - 4*d - 148 = y. Let z = 3 + 19. Calculate the remainder when g is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -103732, -3\/7, -4229?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -692\/7. Suppose 5*u + 41 = -74. Let g be (-5 - u\/4)*(-24)\/81. Which is the third smallest value? (a) g (b) 0.3 (c) y (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -47*g + 117. Let q be r(15). Is q less than or equal to -587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596571 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154562701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 307d3d (base 14) to base 4\nAnswer: 12033033103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 27 - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0221954 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7916796 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 34*v - 16. Let g be i(-9). Solve 5*b - 2*l = -8, 3*b - 5*l + 3 = -g*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d, 0 = -2*p - 0*d - 3*d + 95. Let i = 77 - p. What is the remainder when i is divided by -2*(39\/(-6) - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97696.\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -377930.3938 + 378337.4. Let w = 407 - m. Round w to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*d**5 - d**4 + 4355*d**3 + 2*d**2 + 645*d - 1174?\nAnswer: -1980*d**2 - 24*d + 26130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 189, 361, 535, 711, 889?\n\"Answer: i**2 + 169*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1863641 and -1863642 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 21*r + 93. Determine q(5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1739 = -0*p - 4*s, 0 = -3*p - 5*s + 1036. What is the remainder when p is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)\/q*q*q)**(-27)\/((q*q**(2\/3)\/q)\/(q**(1\/3)*q)) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = -2*o + 15, -f = 2*o - 8. Suppose -2*a + 0 + f = 0. Suppose 0 = -a*l + 2*l, z = 3*l - 2. What is the smallest value in z, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2323, 4646, 6967, 9286, 11603?\nAnswer: 13918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/12)\/(119\/391)*-1*1.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 h, 1 l, and 1 v when four letters picked without replacement from vvffvhvfcvlchvf?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 less than or equal to -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 768457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319000 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4 + 4)*(-6*v + 6*v - 3*v) - 5*v + 5*v - 2*v**2 + (-5 + 5 - 3*v**2)*(0 - 1 - 1).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -5016 and -5016 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9905 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-2697) + (-38)\/(-589)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/45915 and -89\/90?\nAnswer: 275490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**3*n*z**3 + 2551111*a**3 - 2*a*n*z**2 - 6*a*z**3 - 30*a*z**2 + 2*n*z**3 + 23*n*z + 2*z wrt a.\nAnswer: 90*a*n*z**3 + 15306666*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) - 44\/(-12). Suppose 0 = 3*w - 6*w + 108. Suppose -y + 6 = -4*k - 8, -5*y + w = -t*k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8701865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(1\/15)\/j*j*j))\/j)**(-50) assuming j is positive.\nAnswer: j**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(2709\/864) - -14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -14 - (-694 - -672) - (-2 + (7 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 38. Let f be g(7). Let p = 12 + -8. Solve -p*w + f - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x + 4. Let z(w) = -w**2 - w + 6. Let k be z(-3). Calculate c(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - d**2 + d**2 + 2*d**2 + 4*d**2 + 12*d**2 + (4 - 4 + d)*(d - d + d) - 2*d + 2*d - 2*d**2 + 2*d**2 + 2 - 2 as s*d + f*d**2 + j and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:49 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.961 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39640, 39641, 39642, 39643, 39644, 39645?\n\"Answer: q + 39639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131\/2, 0, -1.3.\nAnswer: -1.3, 0, 131\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3073.\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252 - -1105?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/27)*u*((u**(-7)*u)\/u*u)\/u*u*u**(1\/10)\/u*u*u*u**(2\/13))\/((((u**(-9)*u*u)\/u)\/u)\/((u**(-4)*u)\/u))**14 assuming u is positive.\nAnswer: u**(232291\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 1370518370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.26154 * -0.5\nAnswer: -1.13077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 + x - 3. Let n be d(-3). Suppose -c - 5*b + 24 = 0, 0 = c + c + b - n. What are the prime factors of 0 - (0 + 9)*c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -796 - 636?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 11) in base 14?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/7 + 23*t\/7 - 50\/7 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448635 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 32 = -3*r - 3*k, -4*k + 16 = 3*r. Suppose 6*v - 4*v = -3*u - 10, -5*u - r = -v. Which is the third biggest value? (a) 1 (b) u (c) 0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(7\/(1491\/6)). Suppose -4*q + s = -1. What is the smallest common multiple of q and (4\/(-1))\/(2\/(-10))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v + 0*v**3 + 1\/4*v**5 + 19*v**2 - 5\/6*v**4 + 0. Find the second derivative of b(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5))**(8\/7)*(x**19)**(3\/4) assuming x is positive.\nAnswer: x**(2123\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let j be (-4)\/(-10) + 140\/(-225). Which is the nearest to 0? (a) j (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -833811*s**3 - 331528*s**2?\nAnswer: -5002866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 10. Let o be k(-7). Suppose 168 = o*a + 4*b, -4*a + 13 = -b - 160. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 34, 80, 144, 226?\n\"Answer: 9*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 44 = -8*m, 2*d - 3*m - 371 + 370 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.114+93123\nAnswer: 93122.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 420*h**2 - 10692*h + 61468.\nAnswer: 4*(h - 11)**2*(h + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/24 + 29*h**2. Let z(m) = 96*m. Give r(z(a)).\nAnswer: -96*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 != -0.283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -244253997 - -0.2\nAnswer: -244253996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - 12. Let u be (10\/f - (-466)\/(-10))*-1. Let s = u - 38. Solve -4*c - s + 29 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + l**4\/12 - l**3\/2 + 6*l**2. Let b be p(-3). Suppose 5*k - 142 = b. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-5)\/10 - -1)*-2. Let q be m\/((-4)\/5) - (-9 + 0). Solve -k - 2*k = -z - 18, -3*z - q = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6143103824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n - v = 2039997, 0 = -2*n + 2*v - 1360006. What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14215083, -14215081, -14215079, -14215077, -14215075?\n\"Answer: 2*i - 14215085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i. Let a(d) = -8*d + 7. What is a(b(l))?\nAnswer: -40*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d. Let c(r) = -4*r**3 + 2*r**2 - r - 3. Let n(t) = -c(t) - 3*y(t). Let h be n(2). Let v be h\/(-4 - -1)*6. Solve o + v = -0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774482 is divided by 18439?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 9*i + 4. Let o be c(7). Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 31 = 4*g, -13*w + 4*g = -15*w + 34. Suppose 3*c - 4*s - 685 = 0, 3 = s + 1. What is the remainder when c is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1)*(7667\/3485)\/(3\/(-5)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -26*z + 51. Let h(x) = -5*x - 43. Let s be h(-9). Let p be r(s). What is the biggest value in 0.06, p, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 306199, 306360, 306507, 306634, 306735, 306804, 306835, 306822?\n\"Answer: -f**3 - f**2 + 171*f + 306030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -16. Let g be (n + 29)*1\/1. Let a = 33 - g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(0 + 2 - 3)*(-9*f**5 + 14*f**5 - 10*f**5).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*m - m. Suppose -o - 2*o = 3*l - 21, -4*l = 4. What is the least common multiple of m and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5\/(-420)*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3 - 6*g**2 - 9*g + 112. Suppose t(p) = 0. What is p?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.252, 1062?\nAnswer: 1062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -44. Let f be (1 + (-2 - p))*-3. Suppose 20 = 4*h - f. What is the remainder when 49 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5824900*d**4 - 231202*d**2 + 7 wrt d.\nAnswer: -139797600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/1*(-1856)\/(-1160)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16316789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339.12 * 0.59.\nAnswer: -200.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 2*u - 16, 4*u - 16 = 0. Calculate the remainder when 1\/1 - (-22 + 2) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 10*k**2 - 9*k + 2. Let n be h(9). Suppose -2*x - 4*w = -16, 2*w - 4 = n. Suppose -24 = -2*y - x*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46023 (base 9) to base 11.\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853*v**2 - 852*v**2 - 859*v**2 + 2064*v**3 + 2564*v**2.\nAnswer: 2064*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 12 + 5 = c, -5*s = -5*c - 85. Put 3, s, 0 in increasing order.\nAnswer: 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3845 or -0.1?\nAnswer: 3845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3426\/(-30) + 0 + ((-4104)\/(-95))\/36.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 26. Let a be i(-12). Calculate the remainder when a + -1 + 17 + 3 is divided by 2\/(-9) + 94\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194\/(-776) - (-70)\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:31 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 7 - 2 = c, -3*m + c - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*y = -2*y - 285, 5*y = -3*r + 205. Let z = r - 65. Solve 0 = z*h + 12 + 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 94\/3*h**2 - 1\/9*h**3 - 8836\/3*h + 830584\/9 = 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2652?\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9275700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -49 (c) 2\/11 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13. Let n be z - (-8)\/12*6. Let t(r) = r + 22. Let b be t(-19). Solve n*y - 39 = 5*c - 9, -22 = -4*y + b*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - j - 9 = 20*h, -2*h - 2*j + 6 = 0. Solve -5*b = -2*z - h, -3*b - 5 + 9 = -4*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in -2\/11, 1\/5, -0.72?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230 + 233. Factor 2\/5*s**4 + 4\/5*s - 2\/5*s**5 - 2*s**2 + 6\/5*s**v + 0.\nAnswer: -2*s*(s - 1)**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-9)\/6)*-6. Let o(a) = 1. Let k = 30 + -28. Let i(z) = -15 + k*z + 11 + 3. Give f*o(y) + i(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 - 6386*k**2\/7 + 725946*k + 25568010\/7 = 0. Calculate k.\nAnswer: -5, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -44. Which is smaller: -29 or o?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 358 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyf when three letters picked without replacement from {u: 4, w: 6, f: 2, y: 1}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 14*k - 5. Let h = -37 + 29. Let p be l(h). Let b = 108 + p. What is the highest common factor of 46 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + 10 + 15*2. What is the second derivative of -d*j**2 - 21*j**2 - 9 + 76*j**2 + j**3 - j - 19*j**2 wrt j?\nAnswer: 6*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/7*g + 50\/7*g**2 + 32\/7.\nAnswer: 2*(5*g + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(19))*-6 + 5 + (sqrt(2736) - (-1*sqrt(2736))**2).\nAnswer: -2701 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/9, -1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 28 = -2*z, 6*l - 28 = 4*l + 3*z. Let t = -10 + l. Suppose -q + w - 3 = -2*q, -t*q + 5*w + 21 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 - 120 - (2 - (49 + 4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18576037, 37152062, 55728087, 74304112?\nAnswer: 92880137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 1 - 1 + 0*f + f + f + (-3 + 3 - 2*f)*(-2 + 3 - 2) - f - 2*f + 5*f + 0*f + 5*f - 6*f + f - f - f + f - 2 + 2 + 8*f + 3*f + f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let y = i + -2. Which is the smallest value? (a) 2 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6 - 1. Suppose -p*h = -25, 2*o - 2*h + 22 = 2*h. What are the prime factors of 2*o*19\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -1.1. Let q = -142.194 + 141.194. Which is the nearest to -1\/4? (a) g (b) 2 (c) q (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 13619, 272.\nAnswer: 28, 272, 13619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(34)*2*-2*2)\/(sqrt(6)\/sqrt(75) - (sqrt(2) + sqrt(16)\/(sqrt(8) - sqrt(8)*2))).\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8326\/(-506) + (1380\/120)\/((-1)\/(-2))?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/126)\/((-26)\/(-7)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {p: 2, y: 8, j: 2, k: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382538182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*-5 - (-9)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**0)**20*l**(-2)\/l**(1\/3) assuming l is positive.\nAnswer: l**(173\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**(-6)\/(f**(-3)*f**(-9)))**(-1\/27) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -67) + 12\/(-3). Let p = -28 + m. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 14*u + 4. Give h(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 10. Let k be j(6). Let b(x) be the second derivative of -x**5\/20 + x**4\/4 + x**3\/3 - x**2 - 1369*x + 2. Calculate b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-35))\/((-9)\/(-6)). Let x(m) = -m**2 + 6*m + 6. Let v be x(6). Suppose v*d - 2*d = 8. Put -0.2, d, k in decreasing order.\nAnswer: d, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -361, -879, -1593, -2497?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 38804\/36 + -8 + (-3)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*4\/84*6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.98 - -1. Let z = h + -0.02. What is the nearest to -1 in 0.1, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 2647. Let c = n - 995. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -114, -151, -170, -165, -130?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 35 - 73 + 40 - 15*p**4 + p**3 as y*p + q + m*p**2 + o*p**4 + r*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from qnpsyhs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-1)\/((-9)\/(-6))). Let m(y) be the first derivative of -3*y**2 - 13*y - 44. Let v be m(k). Solve 0 = v*b - 14 + 39 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/108 + 29*u**3\/27 + 59*u**2\/18 - 2*u - 392. Factor o(l).\nAnswer: -(l - 59)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 10*c - 4. Let i be l(-7). Let u(g) = -12*g - 20 + g**2 - 5 + 3. Is 17 a factor of u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4549254 and -115\/39096.\nAnswer: 163773144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:07 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 26. Solve 3 - 13 = 5*f - n*w, w = -2*f - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**3 - 14*z**2 - 36*z - 23. What is d(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m - 7. Let n(a) = -25*a - 20. Let u(l) = 5*l + 4. Let j(h) = -2*n(h) - 11*u(h). Let b(t) = -t + 1. Let q be b(-5). Give q*y(f) - 11*j(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 19*w**2 - 17*w + 60. Let x be b(-20). Let i(f) = -f**2 - 3*f - 2. Calculate i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*s = 4, -401*q - 14 = -393*q + 4*s + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 3. Let f(p) = -120*p + 50. What is 6*f(s) + 100*t(s)?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 866, 1998, 3586, 5630, 8130, 11086?\nAnswer: 14498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 26*s + 2540. What is u(65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 1154 = 53*b - 1118. Solve -170*k = -162*k + b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**4 + 5*g**3 - 12*g**2. Let i(y) = -10*y**4 - 4*y**3 + 11*y**2. Let o(h) = -5*i(h) - 4*n(h). What is the third derivative of o(x) wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4\/7 - 20*g**3\/7 - 72*g**2\/7 + 500*g\/7 + 550\/7 = 0.\nAnswer: -5, -1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6542244 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - n - 55105 = -55127, 6*j + 5*n - 26 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and 236751.\nAnswer: 236741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and ((-303)\/21)\/(144\/(-42)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*1*2*(-1*sqrt(833))**2*2*5 + 1).\nAnswer: -99954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140489827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 882364, 3529271, 7940782, 14116897?\n\"Answer: 882302*n**2 + n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5520 + 5523. Factor 3\/2*s - 3*s**2 + 3*s**4 + 0*s**d - 3\/2*s**5 + 0.\nAnswer: -3*s*(s - 1)**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 0.08 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let k = 385 + -3077\/8. What is the closest to d in -3\/4, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + 4. Determine i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from abaxleexxxasxxb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 1234*q**2 - 1240*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 4 = 11*z. Suppose l + z = 2*f, -2*f - 2 = l - 5*l. Is -2\/695 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 130*b - 350*b**3 - 115*b**3 + 5 + 0 - 130*b.\nAnswer: -465*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -3.09. Which is the third smallest value? (a) 5 (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, v: 4}. Give prob of picking 2 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22\/3, 31, 0.4128, -0.3 in descending order.\nAnswer: 31, 0.4128, -0.3, -1, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1248*-0.7\nAnswer: 873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50\/7? (a) -0.8 (b) -4 (c) 9692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*q**2 - 15*q**2 + 4*q**2)*(-1 + 1 - 1).\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + t + 8*t**3 + 1 - 4*t**3 to the form b + k*t**2 + r*t + u*t**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 22*z**2 + 46*z. Give o(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 21. Solve -13 = -3*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:04 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/33 + 222\/(-11). Let o be 11\/r - (-2)\/(-8). What is the second smallest value in -0.4, 1\/6, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let r be l(8). Let p = 2 - 1. Factor 6*j**5 - 4*j**3 + 4*j**4 + j - 3*j**5 + 1 - r*j**2 + p.\nAnswer: (j - 1)*(j + 1)**3*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*v = -1 + 6, 5*v = o + 20. Suppose q - 42 = k - 4*k, 0 = -o*q + 15. Calculate the remainder when (8\/4 + -4)*-38 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 14 + 56 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 143530 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 27. Let p = 2.853 - -0.107. Let z = p - -0.04. Which is the second biggest value? (a) 1\/3 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (9 - 21 - -14 - -4)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.57 - 0.27. Let n = j + 0.6. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40443 is divided by 19591.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7145680*g**4*m**2 - 4*g**4*m + 6297708*g*m**2 - 5*g wrt g?\nAnswer: 85748160*g**2*m**2 - 48*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 + 45*b**3 - b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1519 + 1518.9998608. Round f to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q - 23. Let g be l(-7). Suppose 56 = -4*f + g. Suppose -u + f*i + 46 = u, -u + 2*i = -22. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7720*h + 7719*h + 590 = 41*j - 8*j, 2*j - 52 = 4*h for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 7. Let w(i) = -3*i + 8. Suppose -40 = 4*p + 4*p. Let b be (96\/36)\/(0 + 12\/27). What is b*j(q) + p*w(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**1*r*r**(-1\/3)\/r*r assuming r is positive.\nAnswer: r**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/539 and -62\/847?\nAnswer: 5929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-1)\/((-20)\/24))*-25. Suppose 5*m + 2*i = 47, -2*m - 2*i + l = -0*i. Solve h + 5*t = -1, -h + m = -6*t + t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 21*i - 7. Let q be v(4). Solve 0*s - q = -s + 5*b, -5*s - 5*b - 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1895 + 2030. Let k(p) = 2*p - 4. Let n be k(3). Let f be (-5 - -8)\/(n\/18). Calculate the greatest common factor of f and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/6 + x**3\/6 - 7*x**2\/2 - 2*x. Let v(b) = -b**3 - 4*b**2 - 4*b - 1. What is the remainder when z(4) is divided by v(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:13 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -48. Solve 4*x + q = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4229 + -12686\/3. Factor x*l**2 - 5\/3*l + 4\/3.\nAnswer: (l - 4)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s\/(s\/(s\/s**(3\/4)))*s**(1\/4)\/(((s\/(s*s**(-2\/15))*s)\/s)\/s*s)*((s**1)**(3\/11))**(-11) assuming s is positive.\nAnswer: s**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjppggzlgj. Give prob of picking 2 u and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -57*a**3 - 2040*a**2 - 1575*a = 0.\nAnswer: -35, -15\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w + 3*y - 445, -5*w + 565 = -5*y. Find the first derivative of 107 + 147*k + w*k - 98*k wrt k.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**9\/15120 + f**5\/120 + f**4\/6 + f. Let b(h) be the third derivative of d(h). Differentiate b(i) with respect to i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2664*t = -2594*t - 36 - 524 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -584 - -244. Let n = y - -346.08. Let m = n - 0.08. Which is the second smallest value? (a) -2\/9 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/609 + (-43555)\/(-651)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 3*m**3 + 1\/4*m**4 + 7\/2*m**2 - 3*m - 5. Does 4 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -88. Let a = -31 - s. Suppose 8*j + 110 = a*j. Calculate the highest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 + 148*u**2 - 52*u - 64. Let m be t(-25). Sort m, 0, -16 in descending order.\nAnswer: 0, m, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 198*a + 201*a - 399*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 2. Let u(p) = 3*p. Calculate j(u(d)).\nAnswer: 33*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 1416.\nAnswer: 1415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -19*z**5\/30 + 22*z**4 + 28*z**3\/3 - 546*z**2. Factor t(i).\nAnswer: -2*(i - 14)*(19*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2082*m**2 - 3959919*m - 85590.\nAnswer: 3*(m - 1902)*(694*m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 11254*i + 11247*i + 37, 4*i - 64 = -6*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -51.3698.\nAnswer: 1232.8752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-28) + 6\/21. Let m = 27 + -25. Suppose -m*u + 131 = 3*u - f, u + p*f - 23 = 0. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2981318713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 42. Calculate c(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -23*g - 174. Determine t(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33016882.\nAnswer: 2, 16508441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {k: 1, g: 1, f: 1, q: 2, j: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (-325)\/(-45). Let d(n) = -3*n + 15. Let f be d(r). Let l = f + -20. What is the remainder when 46 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -4 (b) 0.3 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328165561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 122670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-3 - -1) - (37 + -38). Put 1, i, 0, 0.118, -4 in decreasing order.\nAnswer: i, 1, 0.118, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38028235.\nAnswer: 5, 7, 17, 63913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let u(d) = 13*d**2 - 8. Give a(u(q)).\nAnswer: 13*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1312, 1311, 1310, 1309, 1308?\n\"Answer: -y + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 18. Put 3, z, -1 in descending order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -42.1. Which is the nearest to k? (a) 0 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u - 12*u + 19*u)*(u - u + 3*u) - 4*u + 4*u + 2*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2*3 - (sqrt(17) - (-2*sqrt(17) + sqrt(17) + -3)) - (sqrt(17) + sqrt(17) + 0 + 0)*1)**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(2\/61))*l*l**(1\/7)*l assuming l is positive.\nAnswer: l**(929\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 6 - (-14 - -31 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(3\/13))**(-2\/3)\/((d\/(d**1*d)*d)**46)**(-1\/11) assuming d is positive.\nAnswer: d**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 13) to base 12\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76)\/(-8) - (-9)\/(-6). Let r(q) = q**3 - 8*q**2 + 4*q - 12. Let o be r(8). Suppose -d - o = -4*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tlqottlllolj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3028199 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + b + (3*b + 0*b - 2*b)*(4 - 2 + 5).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/252)\/(2\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q + 286. Calculate a(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/(-432) + 2\/9. Let c(p) be the third derivative of 0*p**3 + 0*p + 0 - r*p**4 + p**2. Let j(k) = k**2. Calculate j(c(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -2) + 19 + -3. Let t be 10\/4 - (-7)\/o. What is the second derivative of 12*l + 25*l**3 - 44*l**3 + 25*l**t wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3000 + 5154. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(288) + 1*sqrt(288) + sqrt(288) + sqrt(288))*-3)\/(-4*(sqrt(1296)*1 - sqrt(1296) - sqrt(1296)))*-4)*4.\nAnswer: 4 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -0.3, 9430.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20817 and 43882493?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a*q**2 - 77*a*q + 13*q**2 - 13 wrt a.\nAnswer: 5*q**2 - 77*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5516)\/(-6))\/7 - -5. Let m = u - 135. Let w = 0.6 + -0.5. Which is the closest to -0.1? (a) m (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 284001*f - 283995*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*b = 36, 4*b - 293 = -v - 276. Let p = -272 - -454. Suppose -p = -3*w + w. Calculate the greatest common factor of w and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24099 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708, -1049, -706, 663, 3400?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/30)\/(-18*(-8)\/5184).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38706053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 24*c**2 + 2*c - 31. Let k(q) = -q**2 - 7. What is -4*k(r) + t(r)?\nAnswer: 28*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 37 (b) -0.3 (c) -2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 4. Let r(p) = -p + 7. Let z be r(5). Let m(k) = 21 + k**2 + 4*k**2 - 5*k + k**z. Let v(q) = -11*j(q) + 2*m(q). Factor v(c).\nAnswer: (c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqwwqwwgh. Give prob of picking 3 w and 1 h.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32877.\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632244540.\nAnswer: 2, 5, 81612227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11535, -92263, -311373, -738057, -1441507, -2490915?\n\"Answer: -11532*l**3 + l**2 - 7*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -104. Find the third derivative of 711*w**3 + w**2 + 3*w**2 - 25*w**6 - 711*w**x wrt w.\nAnswer: -3000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.987 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 1. Let h(x) = -5*x**3 + x + 2*x + 6 - 3*x. Give -6*a(v) + h(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:19 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, -542688.\nAnswer: -542688, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 6*v + 1. Let o(c) = 12*c**2 - 47*c + 8. Let l(y) = -11*y**2 + 38*y - 7. Let z(a) = -6*l(a) - 5*o(a). Calculate -5*u(g) + 4*z(g).\nAnswer: -g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141956412.\nAnswer: 2, 3, 13, 909977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148628387?\nAnswer: 148628387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 2*x)*(-13 + 5 + 10)*(1 - 5 + 6).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((4860\/297)\/(-30))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s**2 + 22*s**2 + 37*s**2 to k*s + y + d*s**2 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223653763 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 42 = -3. Suppose 7*m = 3*m. What is the biggest value in -4, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*z - 13 + 101*z**2 - 130*z**2 - z**4 + 2 + 9*z**3 - 7.\nAnswer: -(z - 3)**2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1476 and 137\/60.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 + 4*n**2)*(-19341*n + 19341*n + 1831*n**2).\nAnswer: 3662*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 22*y**2 + y + 23. Let m be s(-22). Let q(j) = 9*j**2. Let g(n) = n**2. Determine m*q(b) - 18*g(b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + 15 = 0. Suppose -u*t - 36 = -w, -4*w + 129 = -3*t + 12. Let j be -2 + -1 + -2 + 14. Calculate the greatest common divisor of j and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g. Suppose -2*t + 6 = 2. Let k(i) = -5*i + 3. Let p(b) = -16*b + 10. Let j(n) = -20*k(n) + 6*p(n). Calculate t*l(d) + j(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655132 is divided by 2754?\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*h**2 - 40 - 5 - 34*h**2 - 44*h**2 + 8*h**2 to the form l*h + c*h**2 + k and give c.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*a - 22*a + a + 35*a**3 wrt a.\nAnswer: 210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(4*sqrt(98)*6 - (-5 + 1*sqrt(200)))**2.\nAnswer: -199807 - 6320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7654 - r - 3544 + 2020 - 5783 - 1998 + 0*r + 0*r + 2*r + (0*r - 2*r + 3*r)*(-1 + 2 + 1) + 4*r - 2*r + r.\nAnswer: 6*r - 16959","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8922139 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94798, 96876, 98956, 101038, 103122, 105208?\n\"Answer: s**2 + 2075*s + 92722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -5, -1\/68, 3, 14\/13 in descending order.\nAnswer: 3, 14\/13, -1\/68, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/177015 and 15\/47204.\nAnswer: 708060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 119319 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**3*h**2*t*z + 1397*b**3*h*z - 65*b**2*h**2*t*z + b**2*h**2 - 2*b*t - 7*h**2*z + h*t*z + 2*h*z wrt b.\nAnswer: -42*h**2*t*z + 8382*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.417478kg to milligrams.\nAnswer: 2417478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/3 (b) -318 (c) -0.6956 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/426 and 69\/16.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4768512 and 15497664.\nAnswer: 61990656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 103, 90, 75, 58, 39?\n\"Answer: -j**2 - 8*j + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**7\/210 + s**6\/50 + s**5\/50 - 14*s. Factor w(p).\nAnswer: p**3*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313022 - 20?\nAnswer: 313002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6406444487 to the power of 1\/3, to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrssmmrmasrkmrrskzks. What is prob of picking 1 k, 1 z, and 1 s?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -530107 + 357107. What is t rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 99045*n + 99046*n + 6, 4*n - 18 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:46 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**4 - 3*f + f**4 - 372 + 375 in the form q*f**4 + a*f**3 + g*f**2 + r*f + z and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a2 - -4?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c\/c**0*c))\/c*(c*c**(-5))\/c*c\/c**1*c\/c**1 assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -124. Suppose d*h + 66 = 16*h. Solve 7 = g - 3*g + 3*v, h = -4*g + 5*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 14*y**2 - 5*y + 8. Let u be g(-16). Let i = u + 488. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 7, f: 1, m: 2, x: 6, r: 1}. What is prob of picking 1 m, 1 f, and 1 w?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2316847707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m. Let h be t(4). Suppose -4*y - 3 = 3*o - 7, -o - 2*y = h. Solve -o*d = d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w - 138. Let v(b) = 6*b - 2. Determine -t(z) + 2*v(z).\nAnswer: -z + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 - 300*b**2 - 6545*b = 0. What is b?\nAnswer: -17, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 4. Let a(z) = z**3 - 1. Suppose -12 = -5*o - 32. Determine o*s(m) - 14*a(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 + 64. Let z = 109 + h. What is the remainder when 9*z\/(-9) + 68 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195*k**2 + 1969*k**2 + 1689*k**2.\nAnswer: 2463*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*g = 460*g - 1946. Solve 0 = -17*q - 37 + g for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 11*z**2 + 27*z - 16. Let p be h(12). Suppose -10*m = -166 - p. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o - 3. Let u(x) = 115*x - 16. Calculate -11*i(l) + 2*u(l).\nAnswer: -23*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274 and 15667210.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 10 + 19)*(-2*l**2 + 0*l**2 + 0*l**2).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1197224 divided by 299306\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let h(k) = -31401*k**2. Give l(h(v)).\nAnswer: 2958068403*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - 9\/6) + 26394\/3604?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.323 + -107.323. What is the second smallest value in 2\/7, -2\/11, j, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*s - 11, 2*k = -3*k - 2*s + 8. Suppose 18599996 = -3*b - 4*y, 3*b + 12400002 = b + k*y. What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (168\/(-30))\/(7\/(-7980))?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 370, 554, 738, 922?\n\"Answer: 184*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*r)*(-2 + 4*r + 2)*(-7*r - 51*r + 3*r).\nAnswer: -440*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqauquzzzuzzuqqqazh. What is prob of picking 1 a and 2 z?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j**(-1\/2)*j*j)))\/(j*j**0*j))\/(j**(-7)\/(j*j**(-17)*j)) assuming j is positive.\nAnswer: j**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 422. Let n(x) = 3*x - 13. Determine -6*n(u) + s(u).\nAnswer: -2*u + 500","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 0.3.\nAnswer: -5, -4, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2281\/3 + -758. What is the nearest to -0.2 in g, -4\/9, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 32 = 3*z, 6*v - v + 80 = z. Is -15 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1\/2*o**3 - 5766*o + 93*o**2 + 119164 = 0?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiy when three letters picked without replacement from skfiy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18*r - 146. Determine a(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2065 - 25a7?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 635373883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8144*z - 8152*z + 16297*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**35\/(r\/(r*r**(-2\/7)))**(33\/7)*(r**(-2)\/(r*r**9*r))**(1\/20) assuming r is positive.\nAnswer: r**(5942\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + 6*h + (2*h + 2 - 2)*(-3 + 5 - 1) + 6*h - 2*h - 2*h + 0*h + 2*h - 4*h + 2*h + 4 - 4*h - 5.\nAnswer: 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 - -471. Let y = -60 + k. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 34, 60, 90, 124?\n\"Answer: 2*u**2 + 16*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f = 66*f + 64 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at least 58732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 4*k**3 + 6 - 6.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258 - -260. Suppose -2*q = 2*y - 82 - 24, j*y - 250 = -5*q. Calculate the remainder when q is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b\/(b**(-1)\/b)))\/b*b)**(7\/4)*b*b**(-1\/5)\/b*b**(-3) assuming b is positive.\nAnswer: b**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/6*(36\/(-15))\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + 0. Suppose -j = -0*r - 4*r. Suppose 5*q - w - 41 = 0, 0*w - 5*w = r. What is the greatest common factor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 30*t - 27. Give m(7).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115\/438 - 7\/73. Let o = 0.48 + -0.28. Which is the biggest value? (a) g (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2868 divided by 33945\nAnswer: -956\/11315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 - 2*v**3 + 0*v**3 + 7*v**2 + 0*v**2 to the form y + z*v**3 + f*v + o*v**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3898958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11111101001?\nAnswer: -11111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b2 (base 12) in base 7?\nAnswer: -1436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**3 - 11*a**2 + 2*a + 2. Let t(v) = -91*v**3 - 56*v**2 + 11*v + 11. Let u(y) = -22*s(y) + 4*t(y). What is the third derivative of u(p) wrt p?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -11)*10\/6. Let a(m) = -4*m**3 + 5*m**2 - 6*m - 20. Is a(t) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/126 + 17*b**6\/90 - 193*b**5\/60 + 175*b**4\/36 + 3*b - 383. Suppose k(h) = 0. Calculate h.\nAnswer: -25, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*n - 316, -2*u = 11 - 3. Let i be (2\/(-3))\/((-1)\/n). What is the common denominator of 57\/16 and ((-3)\/(-2))\/(i\/(-236))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t - 54. Suppose 30 = -4*k + 6. Let q be f(k). What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1379.\nAnswer: -1\/1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6959 + 14?\nAnswer: -6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*q + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**9))\/h*h**6 assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -0.5, -1, -296?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4.1, 2\/15, 3, 9, 2, -15, 3.367?\nAnswer: 3.367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 9\/38, 0.4 in ascending order.\nAnswer: -1\/7, 9\/38, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 115*u**2 - 5*u - 7. Let i be y(5). Let o = -3411163 - -34140031\/10. Let w = o - i. Find the common denominator of -27\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -77. Let z(r) be the first derivative of 1 - 2\/9*r**3 + 1\/3*r**2 + i*r. Factor z(d).\nAnswer: -2*d*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 1.3. Let f = 0 + 0. Let c = f + 2. Is c less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 3, x: 4, e: 2}. What is prob of sequence xe?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = 0. Suppose -42*a = -25 + 361. Let s be 32\/(-105) - ((-48)\/(-15))\/a. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -436, -453, -480, -517?\n\"Answer: -5*i**2 - 2*i - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from yxyxryn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013695204 to 6 decimal places.\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18221559, -36443097, -54664635, -72886173, -91107711?\n\"Answer: -18221538*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2\/95, 2, 3, -2\/21.\nAnswer: -2\/21, 2\/95, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322 - -313. Is 7 a factor of 28\/((-26)\/(-247) - q\/95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26\/3 - -194\/21. Let g = 199\/132 + -1\/132. What is the third biggest value in w, g, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292 - 237. Solve 52*o = g*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.493 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 + 5 = 0. Put -4, -14, x, 1\/2 in ascending order.\nAnswer: -14, -4, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + 13\/((-468)\/(-27)). Let x = -1 - -1.4. Which is the closest to -1\/2? (a) s (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26*w**2. Let f(o) be the first derivative of -15*o**2\/2 + 1180. Determine f(u(l)).\nAnswer: -390*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**2 + 8*q + q**3 - 3*q + 2*q**3 + 1.\nAnswer: (q + 1)**2*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*y - 152. Suppose 9*q - 1665 = -y*q. Calculate the least common multiple of 81 and q.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -420728 > -536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + (21 + 1 + -13 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4 and 61\/57034.\nAnswer: 114068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*g - 5 - 13, r + 4*g = 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 1. Let u(k) be the second derivative of -k**3\/6 - 2*k**2 - 29*k - 1. Calculate -5*q(p) + u(p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**13\/w)\/w*w\/w**11 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 14. Suppose -2*o = -c + 2*c - y, c = 3*o - 12. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -34860\nAnswer: 43\/34860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.111701 + -0.315553. Let r = 0.426 + z. Round r to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 8. Let c be y(6). Suppose -c*u + 6 = 0, -2*o + 3*u = -2*u + 7. Suppose -7*q + 20 + 1 = 0. Solve -2 = -q*g + o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h**2 + 5*h - 1. Let s(q) = 26*q**2 + 8*q - 2. Let g(a) = 8*p(a) - 5*s(a). What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 5. Calculate the remainder when 19 is divided by r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - m + 0*m)*(-7*m + 95 - 95)*(-4*m**2 - 2*m + 2*m) as d*m + t*m**2 + a + k*m**3 + h*m**4 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5668 = -4*n - g, 2482 = 4*n - g - 3178. What is the hundreds digit of 1\/2*n\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -6\/7, 2.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/10 + (-2)\/5. Let c be (6\/(-9))\/(0 + 4\/42). Let o(v) = -v**3 - 5*v**2 + 15*v + 2. Let u be o(c). Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f = -q - 242, -3*f - 33510*q + 125 = -33515*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 10735*p - 10730.\nAnswer: -5*(p + 1)*(p + 2146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, -539, 20 in descending order.\nAnswer: 20, 3, -2, -5, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/4*-8*(-3)\/(-27)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 + -24.75351665.\nAnswer: 1046.24648335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20222222 (base 3) in base 2?\nAnswer: -1001111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91319985 and 12825.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26598516, 53197044, 79795572, 106394100, 132992628?\n\"Answer: 26598528*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449020 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*u - 113, -u + j = -2*j - 27. Suppose -80 = -q + 6*q - 5*a, 0 = q - 4*a + 19. Let y = u + q. Solve -5*g = -3*r + 5, 0 = 2*g + r - 3*r + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 - 7 = 0. Let s = 42 + -43. What is the least common multiple of x and (-2 - (-295)\/30) + s\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 41 = 5. Suppose -3*c + 12 = -z*c. What is the units digit of 92 + (3\/c)\/((-2)\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*b = -0 - 12, 4*b = -4*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(0 + (-9)\/3). Suppose 5*j = j - b*u + 134, -5*j + 168 = 4*u. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18290202 > -18290202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/18 - 4\/9. Let j = 0.8 + -1.1. Which is the nearest to -2? (a) j (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - g**3 + 7*g**2 - 37.\nAnswer: -g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25513, 26528, 27541, 28552, 29561?\nAnswer: 30568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16 - 3.84. Let x = -3\/3632 - 887\/25424. Which is the biggest value? (a) 0.5 (b) x (c) f (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzf when three letters picked without replacement from hbcqcqqfcqbbbcfzqq?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = 17. Suppose 3*n - t*v + 23 = 0, -5*n - 4*v + 8 - 34 = 0. Let p be -3*n\/7 + -3. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - ((sqrt(24) - (-1*sqrt(3456) + sqrt(3456))) + sqrt(24)))\/sqrt(8).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 1\/3 (c) 5 (d) 9 (e) -10\/9 (f) 0.857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667528.\nAnswer: 2, 3, 37049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -16*v**4 - 2*v**2 - 273*v - 188. What is the first derivative of w(f) wrt f?\nAnswer: -192*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:25 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 3. Let s(w) be the third derivative of -w**4\/12 - w**3\/3 + 5*w**2. Let y(c) = -9*s(c) + 4*v(c). Let m(t) = -4*t - 11. Give 4*m(f) + 7*y(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 9:56 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2)*0*2\/(-6). Let w(u) be the second derivative of 9*u - 1\/7*u**3 - 1\/42*u**4 + r + 0*u**2. Factor w(m).\nAnswer: -2*m*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 2, 5, 0.33.\nAnswer: -5\/2, 0.33, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o - 174049 - 66411 = -112*o. What are the prime factors of o?\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.824 - -0.324. Which is the nearest to 1? (a) 2 (b) -6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 8*v**2 - 2*v - 8. Let l be k(-8). Suppose l*p - 52 = 7*p. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -30. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 - -1012200111002?\nAnswer: 1012200101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s**(-5)\/s))**(3\/10)*((s*s**1)\/(s\/(s*s*s*s**3)))\/(s**3*s*(s\/((s*s\/((((s*s**(-1\/5))\/s*s)\/s*s)\/s))\/s)*s*s)\/s) assuming s is positive.\nAnswer: s**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqx when three letters picked without replacement from xxqqqqqxxqqqqq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3989*v**5 + 102*v**4 + 1330098*v wrt v.\nAnswer: -79780*v**3 + 1224*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 106*u**2 - 213*u + 4. Let v be f(2). Let i(g) = g**2 + 1. Let x be i(2). Suppose 6 + 39 = x*j. Solve 0 = 5*b - v*h - h - 28, h = -2*b + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -0.3, 0.67168, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:23 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g*(g\/(((g\/g**(-4))\/g)\/g))\/g)*g)\/g)\/(g**(-5)\/g))**(-39)\/((g**(2\/3))**(-1\/3))**(-3\/8) assuming g is positive.\nAnswer: g**(-5149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 - a + 3. Let h(c) = -c**2. What is f(q) - 2*h(q)?\nAnswer: -2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 0 in increasing order.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + (-1 - 34) + (-1 - -4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3402 and 1?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 27 = -11*i. Suppose i*k - 238 = -f, -f + k + 19 = -199. List the prime factors of f.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283610 divided by 1795?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 587\/(-1)*(0 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655\/13 not equal to 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -4. Let i = c + 11. Solve -i*d + 7 + 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-9))\/((-16)\/24). Let p(t) be the second derivative of -2*t**2 + c*t**3 + t + 0. What is the derivative of p(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033301332 (base 4) in base 9?\nAnswer: -1536403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03713*0.17\nAnswer: -0.0063121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 1485835?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -10) + 0 + 3. Let i(p) = 0 + p + f + 1. Let w be i(-7). Solve 4*y - x = 6, 0 = -2*y + w*x - x + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(130) - (sqrt(130) - sqrt(130)*-2))*1)\/(sqrt(20)\/(-1*sqrt(2))) + (sqrt(117) - (-2*sqrt(117)*2 - sqrt(117)))\/(sqrt(63)\/(sqrt(7)*2)))**2.\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/75 - z**5\/50 + z**4\/30 + z**3\/15 - z. Suppose f(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/31, -0.5, 1\/7, 41, -5 in descending order.\nAnswer: 41, 0.4, 1\/7, 2\/31, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3756954 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2466 and 327526722?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/((-1)\/104). Let s be (-4)\/(-18) + d\/9. Suppose 3*i = -0*i. Solve i = -4*r + r - s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 260*q**2 + 7*q + 7. Let z(w) = -345*w**2 - 9*w - 9. Let o(b) = 9*y(b) + 7*z(b). Let d(s) = 156*s. What is d(o(v))?\nAnswer: -11700*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let j be (-2)\/7 + 16\/7. Let k(a) = -4*a**2 + 8*a**2 - j*a**2. Calculate k(b(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 21. Let a = n + -29.904. Round a to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 131*r**2 - 235*r + 11037. Calculate h(65).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 5. Let s be 3\/(-1) + 2 - -23. Suppose -s = 2*f - 2*a, -a - 24 - 45 = 4*f. Let r be ((-3)\/6)\/((-2)\/f). Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579717822 a multiple of 1211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35\/((2\/2)\/1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*u + 1305, 0 = -2*n - n. Calculate the greatest common divisor of 87 and u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(27\/(-108))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 129. Let w(z) be the first derivative of -z**2 + 125. What is w(p(x))?\nAnswer: 4*x + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2 (c) -33\/61 (d) -0.5 (e) 63 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(2))*-5 + (sqrt(90)\/(sqrt(5)*3))\/sqrt(9).\nAnswer: 5 + 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Suppose -2*j = 3 + 3, -s*d + 3*j + 78 = 0. Solve 0 = 3*u + 5*a - 12 - 4, u - 4*a = -d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87541135 by -6.\nAnswer: 87541135\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - 45 - -37 - (0 + -2 + 6) - 9.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397186851 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.5, -48.88, 1\/6, 73, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 4, i: 6, f: 4}. What is prob of sequence ha?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 3*v. Suppose -13 = -2*i - 3. Let x = v + i. Solve 6*t - x*t = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 3*a - 13 + 4*a.\nAnswer: 5*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 537 - 528 - (8 - (-1 - -1)). Let f(a) = 36*a**2 + 2*a - 1. Determine f(h).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747408.9 rounded to the nearest 1000?\nAnswer: 747000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 44 = 6. Let t(q) = -q**2 + 1. Let f(j) = -39*j - 40*j - 37 + 14 + 18 - 39*j + 115*j + 4*j**2. Determine z*t(g) + 2*f(g).\nAnswer: -2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 856502, 856500, 856498, 856496, 856494, 856492?\nAnswer: 856490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 4, -3.3, -61, 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 460634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 32*g**2 + 245*g - 550.\nAnswer: (g - 22)*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1773355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 2.73. Let x = q - -0.33. Let o be -1*(-4)\/((-32)\/6). Sort x, 4, o in ascending order.\nAnswer: o, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36787\/2 - 18393. Factor -1\/2*b - 1\/2*b**2 + v + 1\/2*b**3.\nAnswer: (b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2033, -1852, -1643, -1412, -1165, -908, -647, -388?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*w**5 + 28\/5*w**2 - 19\/5*w**3 + 2\/5*w**4 - 12\/5*w.\nAnswer: w*(w - 2)*(w - 1)**2*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -19 (b) 44\/5 (c) -2\/9 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*q - 975 - 1130 + 773 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (-9 + (2 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9296, 6790, 1\/3 in descending order.\nAnswer: 9296, 6790, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 5. Let d(b) = -b. Let q(o) = -3*d(o) + v(o). Let f be q(4). Let a be (-2 - -2 - -11)\/f. What is the highest common divisor of 121 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15284 by 2.\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19297232 is divided by 79740.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*(k*k\/(k\/k**(1\/5)))\/k)**(-49)*(k**(-4)*k)\/k**(2\/13)*(k**(-1)\/k)**(4\/11) assuming k is positive.\nAnswer: k**(200428\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = b. Let x(w) = -w + 3. Let s be x(b). Let t(y) = 0*y**2 + y**2 + s*y**2. Let o(k) = -13*k. Determine o(t(j)).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - -4 - (1 + 5). Solve -5*m = 5*l + 20, 12 = 2*l + u*l - 3*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-10)\/50). Let m be (-12)\/(-18)*(-195)\/d. Suppose -5*y = 5*c - m, -3*y + 65 = 5*c - 2*y. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + f - 9*f)*(-12*f**2 - 2*f - 4*f + 6*f) to the form k + l*f + g*f**2 + m*f**3 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302375 divided by 67.\nAnswer: 302375\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 + v - 1\/6*v**3 + 0. Let w(k) = 150*k. Calculate q(w(i)).\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 36. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1476 - 1476.5. Sort 0.4, 77, -1, -2, b in descending order.\nAnswer: 77, 0.4, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (684\/(-27) + 2)*12\/(-5). Let s = -19 + i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z - 8*z**2 + 7*z + 4*z**2 + 3*z**2.\nAnswer: -z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*c**4 - 4*c**4 - 5 - 22*c**4 + (4*c - 4*c + 2*c**3)*(2*c + 1 - 1) - 4*c**4 + 2*c**4 + 0*c**4.\nAnswer: -4*c**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = -f. What is the greatest common divisor of f and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*h - 20. Suppose 0*x + h = x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.57 - -202.57. Let d = t - 196.84. What is d rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 215\nAnswer: 4\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12.51 - 297783066567\nAnswer: -297783066579.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4606 (base 7) to base 9\nAnswer: -2257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2960*h**2 - 14906*h + 510. What is r(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -152. Let g = z - -116. Which is greater: g or 35?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 10*p - 11. Let r be x(-10). Let a = -2 - r. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 4*h**2 - 3*h**2)*(-177 + 177 + 26*h) + 2*h**3 - 2*h**3 - h**3.\nAnswer: -209*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1)\/(-6)*21. Let x be (3\/4)\/(1\/(-4)). Let n be (-56)\/(-64)*x\/z. What is the second smallest value in 0.3, 0.2, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4770 and -187\/30?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2006b (base 13) to base 2.\nAnswer: 1101111101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100001210111010 (base 3) to base 13\nAnswer: cc9198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1250922479\/114201360 - 9115\/65072. Let h = v - -561\/65. Calculate the common denominator of 101\/12 and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.489 - 1.246. Let q = w - -3.7. What is q rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-162)*369\/6 and 125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114869 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 5*b. Suppose l - 2*n + b*n - 1159 = 0, -4*n = 5*l - 5739. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + ((sqrt(343) - (sqrt(343) + -2 - sqrt(343))*-1) + -1*(sqrt(343) + -2))**2 + 1) + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y. Suppose -11 = -3*q - 5*m, -9*m + 5*m - 68 = -4*q. Let g(r) = -33*r - 16*r + q*r. What is g(l(b))?\nAnswer: 111*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 w when three letters picked without replacement from losrwcr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:20 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 + 8*f + 13. Let d be z(-7). Does 5 divide ((-40)\/(-16))\/(1\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14958.01 years to millennia.\nAnswer: 14.95801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (121\/(-270)*-5)\/(0 - 2) and 101\/2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 9*w**2 - 3*w + 8. Let v be k(8). Suppose -4*n - 208 = -v. Let f = -199 - n. Round f to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/485 (c) 3 (d) -0.5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15725, 0, 5, 3, 2.\nAnswer: 0, 2, 3, 5, 15725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*r**3 - 3*r**2 - 27?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:50 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y - 49. Let v be p(3). Determine b so that -1 - 1\/4*b**v + b = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 5*x - 31, -b + 11 = 5*x. Suppose 7*i + 540 = -5*i. Let h = i + 53. Solve x*s = -23 + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93441 + 3*v + 93437 + 12*v.\nAnswer: 15*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1458000 divided by -97200\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/139 at least -3379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*f + 2, -f = -9 + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)\/x**(2\/35)*x**12*x**8*x assuming x is positive.\nAnswer: x**(743\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**2 - 4*j - 9. Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 3\/((-63)\/119). Solve -1\/3*a**4 + p*a**2 + 1\/3*a**3 + 0 - 1\/3*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-590)\/(-35) + (-2)\/(-14). Let u = h + -7. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 165 = 55*t - 74*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 571242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10819.\nAnswer: 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -10 (c) -3 (d) -1.74 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 + 364. Suppose -4*i + 28 = 2*b, -18*b = -15*b - 12. Suppose 0 = -i*w + 3*w + u. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (48 + -90) - -49.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1958 or -1957?\nAnswer: -1957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6552 and 756?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.72771203 - -3.16623?\nAnswer: -3.56148203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33236 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182047327 and 91323.\nAnswer: 1638425943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.58 - 13528334\nAnswer: -13528341.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-1)\/5)\/(20\/50)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = -5*d + d, 2*g + 3*d = 8*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-5)\/sqrt(7) + sqrt(13) + 4.\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -11 - (1 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 5. Let i be q(-4). What is the highest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 14 = 0. Let h be (-2)\/8 - (-51)\/12. Solve 4*z - w + 2 = k, 0 = 4*z + h*w + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + (3 - -5)\/(-4). Suppose 4*c = 2*t + x, -8*t - 3 = -3*t - c. Determine u so that 2\/9*u**2 + t*u + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*m - 607*m - 690*m - 388*m + 18.\nAnswer: -1434*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o. Suppose -3*z + o*z + 2940000 = 0. Suppose z = -4*g + 6*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 73*g - 72*g - 45 = 0, 2*k - 3*g = -2*k - 215 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8028 or -3256?\nAnswer: -8028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6 + f - 4*f + 5*f. Let h be k(8). Is 18 a factor of (29 + -1)*h\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**4 - 2*y**2 + 3*y**2 - 73*y - 34*y + y**3 - 224 + 106*y to the form k + d*y + b*y**2 + n*y**3 + t*y**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*n + 33. Let i(a) = a**2 + 11*a - 35. What is the hundreds digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208872 = 1301*m + 183*m + 450*m for m.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2 = x, 4*h = -197 + 205 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1715096.7 to the nearest 1000.\nAnswer: 1715000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/((-1672)\/448) + 3\/33. Which is the nearest to -1? (a) 2 (b) -1\/5 (c) x (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m, 185 = -2*i - 22*m + 143 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-23)\/3)\/(20\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 10, 28 = -3*l + 2*l + 5*g. Let k be (6\/(-20))\/(30\/25). Let u = -2 - -3. Sort u, k, l in decreasing order.\nAnswer: u, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 7. Calculate r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.7 + 30. Let x = m - 1.3024. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1808*c**2*r + 15415*r wrt c?\nAnswer: 3616*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363))*-6 - (-4 + (sqrt(192) - (-4 + sqrt(192)))).\nAnswer: -66*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27813421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4578122.\nAnswer: 2, 73, 31357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -8, 3 in increasing order.\nAnswer: -8, -7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433*a**3*c**4 + 42*a**3 + a**2*c**4 + 2*a**2 wrt c?\nAnswer: -1732*a**3*c**3 + 4*a**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(1 + 2 - 5) - 21 - 119 + 5 + (2 - 1 + 1)*(-3 + 4 - 3))*((-2*k + 5*k - 2*k)*(2 - 3 + 3) + 7*k - 3*k - 3*k - 5*k + 5 - 5).\nAnswer: 286*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1810*a**2 - 3082*a**2 + 3*a + 2345*a**2 to m*a + z + v*a**2 and give v.\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 0\/(-2). Let a = -4.2 + 0.2. Let p be 5\/2*(-16)\/(-340). Sort p, a, l in increasing order.\nAnswer: a, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*g**3 - 473*g**2 - 1 + 338*g**2 + 3 - 2 wrt g?\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 302938.17 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*w + 2*b + 8, -4*w - 20 = 5*b. Suppose 5*a = -0 + 10. Suppose -h + w*h = -a. Calculate the highest common divisor of h and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -33, -65, -117, -195, -305, -453, -645?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 12) to base 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20459\/6 - 3398. Let o be (-6087)\/15 - (2 + -2). Let c = o + 411. Find the common denominator of c and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 + 424.0000295. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3018*k - 6718. Let u(c) = -1509*c + 3364. Let m(t) = -9*u(t) - 4*w(t). Find the first derivative of m(v) wrt v.\nAnswer: 1509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -54. Suppose -8*w + 2*w + 726 = i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501892*t = -501942*t - 2350 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f\/(f*(f*f**(1\/7))\/f)))*f))\/f**(1\/3))\/(f*f**(1\/4)*f**(-4)) assuming f is positive.\nAnswer: f**(131\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d + 1. Let f(o) = -4*o**3 + 4*o**2 - o - 2. Let z(w) = -20*w**3 + 21*w**2 - 4*w - 10. Let p(y) = 11*f(y) - 2*z(y). Give p(t) + 3*q(t).\nAnswer: -t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 3. Let c be l(-8). Suppose -3*i = -4*k - c, 0*i - 10 = -2*i + 4*k. Suppose a + 0*m - i*m - 5 = 0, 2*a + m = 17. Solve 3*v = -20 + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010201 (base 3) to base 9\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156*b**5 - 6916*b**4 + 7552*b**3 + 2672*b**2 - 896*b - 256 = 0 for b.\nAnswer: -4, -2\/7, 4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25525*y**2 + 4825*y - 2 wrt y.\nAnswer: -51050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.61543 - 0.8\nAnswer: -0.18457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 118. Suppose -r = -4*u + 120, 4*u - 6*r - 120 = -2*r. Is z(u) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/44341776 and -97\/216.\nAnswer: 44341776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*d - 32 = -3*d, -3*d = 4*p. Suppose 4*o = -3*z + 59, 2*o + 65 = p*z - 0*o. Let v be -2 - -2*z\/6. Solve -q - v*n = -2, 5*q + 8 + 6 = -n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2 + 244538*v - 489068 = 0.\nAnswer: 2, 122267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*t = 678, -2*t - 170 = -o - t. Let s = -132 + o. Calculate the least common multiple of s and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/613 and -9\/3872 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -9, -14, -19?\n\"Answer: -5*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 6 = 9*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - z - 4 + 2 + (3 - 3 - z)*(-1 - 16 - 10) in the form g + n*z and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*k**5 - 873015*k**4 + 3273380*k**3 + 6328890*k**2 - 3273400*k - 5455875 = 0. What is k?\nAnswer: -5\/4, -1, 1, 5, 43647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:31 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 5*i**3\/2 + 13*i**2 + 8*i. Is 23 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10)*2\/1. Is -4 + x + (-76)\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*b + 40, 8*b - 3*b + 28 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 2, s: 8, q: 5}. Give prob of picking 1 s and 1 q.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -27212 and -27198 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 7. Let t be r(-6). Let u = 23 + t. Calculate the highest common divisor of u and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let d(g) be the second derivative of -3*g + 0*g**3 + 0 - 1\/3*g**4 + 0*g**2. Determine d(p(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -832, -2846, -6770, -13240, -22892, -36362, -54286?\n\"Answer: -106*y**3 - y**2 + 5*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 - 1.2. Let f be 5 - (0\/(-4) + (-172)\/(-36)). What is the closest to -1 in y, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07077 - 0.074081. What is d rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w\/(w*w**11))))\/(w*w*w**(30\/11)\/w) assuming w is positive.\nAnswer: w**(-151\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822483?\nAnswer: 3, 91387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251067009 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x - 5. Is 7 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 38. Let t(o) = -o - 1. Determine 2*t(v) + 2*z(v).\nAnswer: -2*v + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let c(k) = 28*k. Determine v(c(y)).\nAnswer: 784*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5396.\nAnswer: 5\/5396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*(-22)\/33440*(-4)\/(-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a + 6. Suppose 2*p + 3*p - 21 = 3*b, 4*p + 2*b - 8 = 0. Let t be p*-2*a\/3. Solve 4*h - t*r = -0*h - 8, 5*h - 4*r + 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j. Let q be 8 + -7 - j\/2. Let r(x) = -9*x**3 - x**2 + x. Give r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:33 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25047 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31246.\nAnswer: 2, 17, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -9*h + 95 + 19 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5.381 (b) -3\/10 (c) -0.056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 3. Let h be m(8). Suppose -99 = -h*r + 321. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1df (base 16) to base 2\nAnswer: 111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 15, r = -2*z + 9. Let l = r - 0. Suppose 116 = l*b + b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 - 3*r + 908*r**2 + 919*r**2 + 928*r**2 - 2741*r**2. What is l(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-8)\/9)*9\/(1701\/(-105)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d**2 + 144 - 144 - d**3 as m*d + q + v*d**2 + b*d**3 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 71*i**2 + 19*i + 9. Let p(y) = -5*y**2 + 2*y + 1. Calculate 18*p(t) - 2*r(t).\nAnswer: -4*t**3 + 52*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9307144 and 2030?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 6, c: 3, t: 3, f: 3, g: 1}. What is prob of sequence ci?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(6 + w - 6).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -16) + (20 - (7 + 4) - 10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3441 and 0.0469?\nAnswer: 161.3829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4934?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9013300 is divided by 86.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48888993 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/18)\/13*(-1)\/(7\/(-252))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81405027 divided by 3015001.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/2160 + c**5\/20 + 37*c**4\/144 + c**3 - 2*c + 48. Let k(q) be the third derivative of z(q). Factor k(s).\nAnswer: -(s - 37)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 0 - 3 + 2*a**2.\nAnswer: 3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*k - 3*z, 0*z + 13 = k - 4*z. Suppose -3*w + 87 = 3*l, -k*l + 3*w = -54 - 75. Let n = l - 25. Calculate the remainder when 8 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6284, 6225, 6126, 5987, 5808, 5589?\nAnswer: 5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3165.917 + -3166. Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1966*b - 82810 - 7626 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -37. What is the closest to a in -0.5, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 + 1. Let f be p(2). Let r = 22 + 1. Let v be (-4 - r\/(-5)) + -1. Sort v, f, 2\/9 in ascending order.\nAnswer: v, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-18 - -8 - (-34 + 17))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 15\/6)*8. Suppose -2*d + 0 = 2*h + 8, w*h - 5*d = 20. Solve 25 = 5*i - h, 1 = -4*m + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 36. What is the third biggest value in -2\/13, 3, -0.03, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011010110 + -11?\nAnswer: 10010011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6115464990719.04 and 1.\nAnswer: -6115464990718.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/39*(15\/10 - 2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 13052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*r - 4, -r - 22 = 4*r + 3*o. Which is the nearest to 3? (a) -4 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 60 = 76. Suppose 0 = 4*b - v, -r = -4*r - 5*b + 64. Which is bigger: 17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2299) + (-3 + sqrt(19))*4 + ((1 + sqrt(76) + sqrt(76) + sqrt(76) + 3)*-5)**2.\nAnswer: 1215*sqrt(19) + 17486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73182 - 7*f**3 - 11*f**3 + 73182.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -4 (b) -6 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12*1)\/(-7 + 23\/3). Let x be (-4)\/(-8)*(d + 4). Which is bigger: 14 or x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -61. Let q = 6 + 6. Let z = -8 + q. Calculate the greatest common divisor of n and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2. Let c be d(0). Solve 2 = -2*f + 4*g - 4, 0 = -3*f + c*g - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 55 = 30. Let o = -12 - s. Suppose 5*r - 3*k - 58 = -17, -r = o*k - 25. Calculate the least common multiple of 22 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2618)\/(-3366))\/((-14)\/(-60)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) + 7398\/8631?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -11020?\nAnswer: 1\/5510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/10)*h*h)\/((h**23\/h)\/h))\/(h**5\/(h**(-3\/7)*h*h)))**(1\/27) assuming h is positive.\nAnswer: h**(-521\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.26 + -4.2. Let t = b + -20.06. Let k = -20.13 - t. What is k rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21467445*w**2 + 9494579*w + 1 wrt w.\nAnswer: -42934890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 43. Let n be c(3). Solve n - 22 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/4 + 2*35\/280 - 834\/(-69).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-11 - (5 + 13))) + -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -14083 - -14146. Is 2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/150*15)\/(125\/10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24966395 and 482?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 113066*o + 113063*o - 34 = 0, 5*m + 5*o = -75 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -384, -554, -726, -900, -1076, -1254?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - 3 - 45\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 7*m + 36. Let r(q) = 4*q**2 + 10*q - 54. Let b = 15 + -22. Let v(l) = b*u(l) - 5*r(l). Calculate the lowest common multiple of v(0) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -2197, -5 in decreasing order.\nAnswer: 52, -5, -2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-126)*70\/(-30)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 771386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wews when four letters picked without replacement from {w: 2, a: 2, e: 1, s: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/555 and 111\/1058590?\nAnswer: 117503490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50328 and 8343?\nAnswer: 15551352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(810) + sqrt(810))\/(6*(sqrt(5) - sqrt(405))))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let s(z) = 4. Let u(v) = -q(v) - s(v). Let n(k) be the third derivative of k**4\/6 - 7*k**3\/3 - 6*k**2. Give 3*n(y) - 14*u(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-15) + 5 - (-14)\/21?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.923 - -0.077. Let r be 1\/1*2\/10. What is the nearest to -0.1 in -0.04, r, w?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65)\/sqrt(80) + -2) - sqrt(130)\/(-6*2*sqrt(10))*6)*6.\nAnswer: -12 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3 - 0. Suppose z - 3*z + 22 = 2*q, i*q + 5*z = 43. Solve -5*l + q*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 > 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/6 + 627*a**3\/2 - 140633*a**2\/6 - 627*a\/2 + 23439 = 0.\nAnswer: -1, 1, 78, 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n**3 - 87*n**3 + 57*n**3.\nAnswer: -92*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.38 and 0.29532029?\nAnswer: 0.08467971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 216\/(-42)*14\/(-15) and 48\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-3) + 22\/(-6))*-18. Suppose o*h = 80 + 352. Suppose -5*j + 3*f = -h, -2*f - 4 + 0 = 0. Calculate the greatest common factor of j and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 0, 32*f - 33*f - 5*s = 1. Solve f*b + 0 = 3*m - 13, 0 = 3*m - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -187, -613, -1323, -2317, -3595, -5157, -7003?\n\"Answer: -142*n**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 9340562?\nAnswer: 9340562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23619164, 47238324, 70857494, 94476680, 118095888, 141715124, 165334394?\n\"Answer: z**3 - z**2 + 23619156*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -7, -41, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 = -3*w. Solve w*d = -0*d + k + 18, 2*k = 4*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**36)\/(u\/(u*u**(1\/41))) assuming u is positive.\nAnswer: u**(1518\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-34)\/(-187) - (-10471)\/66) + -5. Let p = b + -19427\/126. Find the common denominator of -87\/14 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 4. Let s be p(-5). Suppose -s + 4 = -5*o + 4*x, -3*o = -x - 1. Let q be o*(-1)\/((-1)\/4). Let r(a) = a**3 - 5*a**2 + 4*a + 5. Determine r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -5. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/66 and 1\/2772671.\nAnswer: 16636026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k**2 - k**3 + (-3*k + 4*k - 3*k)*(-5 + 5 + 2*k**2) - k**3 + k**3 - 2*k**3 - 732 - 37*k**3 + k + 732.\nAnswer: -44*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let j(w) = -80647443*w. What is j(x(v))?\nAnswer: 161294886*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1770 and 64015?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.37007 milligrams?\nAnswer: 0.00237007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5379769*z**3 - 5379769*z**3 + 6961*z**2 + 3885*z**6 wrt z.\nAnswer: 466200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*l + 1959 - 2316. Suppose -t = -5*t - 124. Let k = l - t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 8*w - 21 + 5*w + 3.\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 343.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 3. Let y be 1 - -1*12\/(-16). Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 425?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 245310856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 21 - 45. Is -9\/2 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 11685, 2, 4 in decreasing order.\nAnswer: 11685, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 12221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:49 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(((-134)\/(-2345))\/((-828)\/161)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1286 - 1891. Let t = -114 - q. Suppose -5*z + 3*u + 5199 = 0, 0 = z + 4*u - t - 558. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 45*h**2 + 196*h + 14. Determine m(49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 913432549 to the power of 1\/2, to the nearest integer?\nAnswer: 30223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -24566.02?\nAnswer: -24566.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200680274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.05561?\nAnswer: 0.027805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.015 - 0.383. Let y = j + -0.032. Which is the nearest to 2\/5? (a) 1 (b) y (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n = -162*n + 1960 - 104 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -1.7. Let y = -6 + 1. Let h(p) = p**3 - 10*p**2 - 11*p + 1. Let v be h(11). Which is the nearest to r? (a) v (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - g + g + (50 - 166 + 41)*(-g**2 - 3*g**2 + 3*g**2).\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/316692995 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -0.08.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dc998 (base 15) to base 10.\nAnswer: -1460168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -5408, 2.\nAnswer: -5408, -51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64120884 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -9. Suppose u*i - 3*i + 2*p = 38, -11 = -i - p. Suppose -2*q = -i - 72. What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.681 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 3, y: 1, s: 1, n: 5}. What is prob of picking 1 s, 1 n, and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*r + 4, -4*x - r = -0*r + 2. Factor -2\/7*d**3 + 0 + x*d - 2\/7*d**2.\nAnswer: -2*d**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = 8, 2*s = 5*a - 53. Suppose a - 2 = -4*m - 5*b, 3*b + 13 = 2*m. Suppose m*y = 4*y - 134. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/21 + 8\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18853691 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213557827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45462 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.9406 rounded to zero decimal places?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (6 + 0 + -16) - 5) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113\/3 + 37. Sort 5, a, 4 in increasing order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/9 + 129864*k + 1168774\/9 = 0. Calculate k.\nAnswer: -584387, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/48*0\/(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -7 in ascending order.\nAnswer: -7, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + 126 + (-3 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 5, 1\/29, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83289044159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 5*d. Let t be h(-5). Find the second derivative of -2*o**2 + 7 + t*o + 26*o - 29*o**4 - 7 wrt o.\nAnswer: -348*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 130 - 910*p**2 + 745*p**3 + 9293*p - 18589*p + 30*p**4 + 9301*p = 0.\nAnswer: -26, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -121525705?\nAnswer: -121525706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:31 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1167 - 955 = 2*z, 5*k = -4*z - 4244. Let j = z - -57. Let v = j - -1995. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8814585 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*h + 3*h. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50723, -50722, -50721, -50720, -50719?\n\"Answer: r - 50724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -90. Solve -5 + o = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102831 and 63571?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 438609 plus 2.43?\nAnswer: 438611.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 64 = -3*p. Let j = 3.3 + -0.3. Let g = 2 - j. Which is the biggest value? (a) -0.4 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 28*l**2 + 31*l + 103. Let q be d(-22). What is the highest common divisor of 225 and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4\/7 - 18*a**3 - 204*a**2 - 2336*a\/7 = 0.\nAnswer: -8, -2, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by -38?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*c + r, 0 = -4*c + r - 0*r + 82. Calculate the highest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8109124 by -426796.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(325) + 1 + (sqrt(325) - 5*2*sqrt(325)) + sqrt(325) + (sqrt(325) + 1 + -4)**2*-6).\nAnswer: -2003 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 7. Let q(f) = -8. Let i(l) = -5*d(l) + 6*q(l). Let n(h) = 2*h + 6. Let r(k) = 6*i(k) + 13*n(k). Let u(c) = -3*c**2. What is r(u(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 718274.81 and 527.\nAnswer: 718801.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 - -0.9. Let c = v + -4.48. Let g = 0.38 + c. Which is bigger: g or 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33219 - 33219.1. What is the fourth biggest value in -12, 5, 0.09, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 3*k - 6*k = 4*u + 229, 17 = -u - 44 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -563 divided by -880\nAnswer: 563\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16441.94mg?\nAnswer: 16441940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71*12\/54 + -16. What is the smallest value in -0.3, w, 339?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 172\/6 - 12\/(-36). Suppose i*n - 140 = n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122022222 (base 3) to base 9.\nAnswer: 48288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-279)*(-9)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (-5*sqrt(198) + sqrt(22)))\/sqrt(11).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 313, 308, 303, 298, 293, 288?\n\"Answer: -5*j + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 17, -23, -105, -235, -419?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23359 + 55438. List the prime factors of l.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/11)\/w**(-13)*w**(-5)\/w*(w\/w**(-1\/7)*w)\/w)**(-33) assuming w is positive.\nAnswer: w**(-1797\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*v = -2*t + 6, 2*v = 3*t + 1. Calculate the highest common divisor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 2. Let o be (-4)\/10 - 16\/10. Let p be v(o). Suppose -p*z = -44 - 4. What is the remainder when 45 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 4*r - 0*r, -5*i + 2*r - 6 = 0. Suppose 2*x + p + 17 = i, -x = -0*p - 3*p + 12. Let m = x - -12. Solve 25 = 5*d, 9 = m*v + 3*d - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 27. Let a = i - 23. Let u be (-1490)\/((4 - 5)\/a). Round u to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o, 4*f - 195 = -2*o - 89. Solve -68 = 9*t - f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134228581?\nAnswer: 151, 888931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -287*((-28)\/784)\/((-2)\/(-25624)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 6*c - 18. Let n be j(-8). Let p(f) = -2 + f + 2*f - 6*f. Let a be p(n). Solve a = v + 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109b6 (base 12) to base 14\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3) - 2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(1\/21))**29*(a**0*a*a)**(1\/10)*(a\/(a\/(a*a**(2\/13))))\/(a\/(a*(a*a**1\/a)\/a)*a) assuming a is positive.\nAnswer: a**(-116387\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)**31)**9 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588809085?\nAnswer: 3, 5, 23, 59, 28927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 5, -0.1, -47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) - sqrt(256))\/sqrt(2))\/(sqrt(12)\/(sqrt(3)*-1)) - ((-2*sqrt(176))\/sqrt(8))\/(sqrt(176)*-6))**2 + -5.\nAnswer: 865\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/965579 and 38\/25015.\nAnswer: 4827895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686637 and 1911.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 4082?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*d + 12 = 0, -75*d = 2*i - 74*d + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*c = 0, 3*c - c = -4. Put z, -39, 3 in decreasing order.\nAnswer: z, 3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1319290*q**3 - 757699*q**2 + 1 wrt q.\nAnswer: -7915740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 10*a**2 + 11*a + 6. What is the least common multiple of i(11) and 20\/90 - (-97)\/9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**4 + 36*n**2 + 7*n**4 - 35*n**2 + (1 + 0 - 3)*(-9*n**4 + 31*n**3 - 31*n**3).\nAnswer: 32*n**4 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, a: 1, c: 4}. What is prob of sequence cca?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2866b - -9?\nAnswer: 28674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -14) + (-40 - -33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.0924?\nAnswer: 2.0924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 1.1, 4, 8, 9?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180) - (sqrt(180) + 0 + sqrt(180))) + 1 + sqrt(180) + 4 + 2 + (sqrt(45)\/(sqrt(45)\/sqrt(5)) + sqrt(10)\/sqrt(98))*4)**2.\nAnswer: -356*sqrt(5) + 160821\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/12*n**3 - 5\/48*n**6 - 9\/32*n**4 + 4 + 0*n + 0*n**2 - 3\/10*n**5. Factor f(j).\nAnswer: -j**2*(j + 1)**2*(5*j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -6*f + 5\/6*f**3 - f**2 + 0 + 1\/12*f**4. Determine y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(567))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/47 or 1\/10?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4185*l + 10653 wrt l?\nAnswer: 4185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62901, 125807, 188713, 251619, 314525, 377431?\n\"Answer: 62906*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2*j - 5. Let r be i(-6). Let c be (-25)\/(-9) + (-24)\/(-108). Factor -3*p**2 - 3*p**3 + 3*p + 3*p**5 + r*p**4 - 16*p**4 - c*p.\nAnswer: 3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3080733, 3080734, 3080735, 3080736?\nAnswer: 3080737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -870, -1743, -2614, -3483?\n\"Answer: r**2 - 876*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22375005 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 - c**5\/20 - c**4\/6 + c**3 - 12*c**2. What is t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001084271882 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8 + (-51)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/4 - 2 - 3*1. Solve -5*t = s*o, 5*o + 3*t + 1 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515.3 plus 5.4?\nAnswer: -2509.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(-1*sqrt(3)))\/((-2*sqrt(12))\/sqrt(3) - sqrt(4)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + j = 2201, -7*o + 6*o + 4*j = -2221. Let w = o + -124. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1350?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 8) to base 11.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*j - 62*j - 91*j - 25*j as y + o*j and give o.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 4*k**2 + k - 4. Let b(f) = -2*f**3 + 9*f**2 + 2*f - 9. Let x(l) = -3*b(l) + 7*g(l). What is x(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 8. Let l = -32536\/243945 + 2\/48789. Sort -13, l, x.\nAnswer: -13, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10266 and 369?\nAnswer: 1262718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102143263.\nAnswer: 102143263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2374*o + 2677*o - 606 = 0. Find l such that -2\/3*l - 10\/3*l**o + 0 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/21 + (-506979)\/420. Let a = -1208 - m. Let c = -883\/68 - -106\/17. What is the common denominator of a and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3 + 11372*o**2\/3 - 15184*o\/3 = 0?\nAnswer: -949, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.768709923 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**(1\/2)*c)**(27\/2)\/((c*c\/(c\/((c*c**(-4\/13)*c*c)\/c)*c))\/c**(-5)))**(-1\/31) assuming c is positive.\nAnswer: c**(-2109\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 18858 = r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 times 0.59?\nAnswer: 0.01003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.66157 millennia to decades.\nAnswer: 1266.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*x + x = 8, 0 = 2*x - 6. Let n(m) = 11*m**3 - 2*m**2 - m. Let k be n(-1). Let a be 4*-15*l\/k. Calculate the highest common divisor of a and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 180*j**2 + 1758*j - 1580 = 0. Calculate j.\nAnswer: 1, 10, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-40) - (-2)\/(-5)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 15678*j**2.\nAnswer: j**2*(j + 15678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 51929 (base 14) to base 8\nAnswer: 600021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, m: 2, j: 1, z: 1}. What is prob of sequence zm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 - 462 = 57*b + 388 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/27)\/((-2)\/72). Suppose 0 = 39*n - 35*n - q. Let w(p) = -p**3 + 4*p**2 - 1. What are the prime factors of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 1d?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let m(u) be the second derivative of 24*u**4 - 62*u. Calculate m(g(w)).\nAnswer: 288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*y = -2661, -b - y = -0*b - 666. Suppose -4*c = 2*a - 10, -42*c = 3*a - 37*c - 21. What is the greatest common divisor of b and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Suppose 9*p - 12 = 3*p. Suppose u*l = -p*b + 84, -186 = -7*b + 2*b - 2*l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 15*w - 61. Let i be p(3). Let z be i + 6 - 13\/(-3). Factor 0 + 0*t - 8\/3*t**4 - 2\/3*t**2 - z*t**3.\nAnswer: -2*t**2*(t + 1)*(4*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-5))\/(25*2\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d - 163*d = -44*d - 119220. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89261861 to the nearest integer?\nAnswer: 9448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -44 + 33 + -16 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 4*i**3\/3 - 11*i**2\/2 + i - 19. What are the prime factors of b(12)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*o - 3*l, 4*o + 90 = l + 108 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 14575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 18*t - 2*t + 30*t - 16*t + 125*t**3 + 38*t**3 as x*t**3 + z*t**2 + b*t**4 + w + j*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 - 1. Suppose 0 = 4*l - 4 - 4. Let j be y(l). Is 4 a factor of (12\/10)\/(j\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**2\/2 - 15. Let g(d) = d + 2. Determine u(g(a)).\nAnswer: 3*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -735 (base 9) to base 10.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.4 + -24.42. What is the third biggest value in 4\/15, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h - 20. Let g be d(5). Suppose 39*i = 14*i + g. Solve t - 1 + 3 = 2*f, -3*t - 14 = i*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let u = -0.9 - v. What is the second smallest value in 1\/5, u, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23439)\/130*5\/(-2532). Let p = v + 4\/211. Factor -p*h**3 - 3\/4*h + 0 - 9\/8*h**2.\nAnswer: -3*h*(h + 1)*(h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2030038, -8120137, -18270300, -32480527, -50750818, -73081173, -99471592?\nAnswer: -129922075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -6. Suppose -3*m = -m + 6. Sort m, 2, k in ascending order.\nAnswer: m, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2156504\/15 or 143766?\nAnswer: 143766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/43326 and -107\/9918?\nAnswer: 823194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*f = f - 55, f + 65 = 5*y. Let x be -3*(20\/(-15) + 1\/(-3)). Solve 4*b = 7*b - k - y, x*k = -25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1547135 (base 8) to base 9.\nAnswer: 748765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -0*o. Let v be -2*(2\/(-2) + (6 - 7)). Let f = 0.246 + -0.146. Which is the nearest to o? (a) f (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*-2 - (-4)\/24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + f**2 + 2*f - 112. Give k(0).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1010 (b) 4 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 213107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 52 = 2*f, 2*f - 7*u + 2*u - 49 = 0. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/983840 and -37\/737880.\nAnswer: 2951520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/6, 2\/9, 2\/11, 42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5842370 by 1168474.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*c*w**3 + 4*a**2*c + a**2*w**3 - a*c*w**3 - 160*a*w**3 - 2*c wrt a.\nAnswer: -24*a**2*c*w**3 + 8*c + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -175321029 rounded to the nearest 100000?\nAnswer: -175300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 6, -4*x - b + 54 = 73 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*n = -17898, 4*m = -32*n + 34*n + 23886. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, -2843, 1, 0.5, 5 in descending order.\nAnswer: 5, 3, 1, 0.5, -2\/3, -2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/9 - 239*n**3\/9 + 4099*n**2\/3 - 137701*n\/9 - 150236\/9 = 0.\nAnswer: -284, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 98*b - 117*b - 103*b - 94*b + 405*b.\nAnswer: -7*b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*c = 18, -o + 15 = -7*c + 3*c. Suppose i = o*n + 378 + 147, 3*i = -5*n - 889. Is n\/(-5) - 4\/20 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21908\/99 + -1954\/9. What is the common denominator of m and 52\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2 - 7*w - 6. Let v be 2*(9\/(-6))\/3. Let m be a(v). Suppose p - 124 = m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6367 - -6366. Suppose 0*u - 21 = -u - 4*g, 3*u + 2*g = 13. Let j be ((-1)\/(-2))\/1*4. What is the third biggest value in j, k, u, 12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/45 and -77\/465.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -657833.1 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (135\/18)\/(-5). What is the closest to 0 in -1\/2, -4, 1, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 11*f**2 + 184*f + 58. What is d(0)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.41169 times 3?\nAnswer: -70.23507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20552 and -69\/825016?\nAnswer: 5775112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*u - 83 = 131. Solve 4*a = -5*b + 6*b + u, 4*a = 2*b + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-185)\/(-25) - 7)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 3*g - h, -4*g + 4*h = 111 - 595. Calculate the highest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 + 3*h**2 + 7*h. Does 6 divide g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 3. Let a(c) be the first derivative of -c**5\/60 - c**4\/24 + 78*c**3 - 30. Let w(d) be the third derivative of a(d). Determine 4*k(i) - 9*w(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -35*r + 14. What is d(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 3. Let d = 84 + -41. Calculate the remainder when d is divided by a(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 10\/(-1) + 1. Let s = 29 + q. Suppose 5*v = -3 + s. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4408*u + 59 + 281 = -4388*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/72 and 33\/69448?\nAnswer: 625032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5599, -11200, -16803, -22408?\nAnswer: -28015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 8*x**3 - 19*x**3 + 8*x**3 + 6*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/21 - 12*n**5\/35 + 6*n**4\/7 - 16*n**3\/21 - 1. Factor v(u).\nAnswer: 2*u**2*(u - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 3*o**2 - 2*o - 3. Let l be r(4). Let f(q) = q**2 - 5*q - 1. Let m be f(l). What are the prime factors of (-87)\/(-6) + m\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 - 153878?\nAnswer: -154054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5\/3, 0, -216485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/15)\/((-6)\/20). Suppose n - 6*x + x = 6, -3*n = h*x + 1. Let c be 1521\/36 - n\/4. Which is smaller: 43 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/63 - (-264)\/(-54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/5))**(-2\/111) assuming l is positive.\nAnswer: l**(14\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 2.05. Let q = 3.75 - 0.15. Let i = q - 3.3. Which is the biggest value? (a) i (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(32))\/(sqrt(30)\/(sqrt(10) + sqrt(40)\/sqrt(4) + sqrt(10))))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 20212120112?\nAnswer: 20212120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/((-21)\/49))\/((-12)\/(-36)). Sort 5, -6, a, -5, 2.\nAnswer: -6, -5, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201353440 by -740270.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20974 is divided by 1071?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100028 or -0.1?\nAnswer: 100028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 1\/70*l**5 + 34*l + 0*l**2 - 1 + 1\/14*l**4 + 2\/21*l**3. Factor r(p).\nAnswer: 2*p*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 907 + -880. What is the smallest common multiple of y and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjkk when four letters picked without replacement from jkjkkkkjjjkkkjjkjj.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114690 and 168.\nAnswer: 3211320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 249563 + 8*m**3 - 249563 + 0*m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**7\/21 + 8*x**6\/15 + 3*x**5\/2 - 4*x**4\/3 - 16*x**3\/3 + 590*x. Factor t(p).\nAnswer: 2*p*(p - 1)*(p + 1)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:15 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19665\/2 greater than -2197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 18*g + 6277 = 17*g, 4*a - 8366 = 3*g. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbrdrr. Give prob of picking 1 r and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + 0 - (1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from {k: 7, x: 7, h: 5}.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -15, -2*f - 2*m - m + 71 = 0. Calculate the lowest common multiple of 4 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15281852 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2638293350, 2638293352, 2638293354?\nAnswer: 2638293356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 82782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 + 1. Let y(w) = -54*w**3 - 36*w**2 - 36. Let n(f) = -18*f + 215. Let z be n(12). What is z*y(q) - 36*x(q)?\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138710?\nAnswer: 2, 5, 7, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9515 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y*y**(-3\/4)*y*y)**26*(y*y\/y**(2\/11))\/(y\/y**1)*(y*y*y**(-1\/5)\/y*y*y*y)\/(y\/((y\/y**(-1\/10))\/y)) assuming y is positive.\nAnswer: y**(2762\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121962.\nAnswer: 2, 3, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-44781.\nAnswer: -89562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 15*h = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n. Let l(d) = d + 1. Let o(x) = 3*l(x) - w(x). Let v = -2 + 2. List the prime factors of o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-437632)\/(-3584))\/263)\/((-1)\/(-4)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -217673 smaller than -217822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 189.\nAnswer: 189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 8*a**2 - 28*a - 36. What is h(10)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 87. Let h be q(-10). Solve 4*t + h = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 18 - (-119 + 111)) + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:41 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 2*w**3 - 3*w**3)*(1 + 1 + 0)*(9 + 2 + 9).\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 123, 139, 147, 141, 115, 63, -21?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - r = -0*g - 6, -21*g - 19*r - 63 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 910856*a\/5 + 3643456\/5.\nAnswer: -2*(a - 455432)*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 51*w + 123. What is the units digit of s(61)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 12*a = 80. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -13, -50, -121, -238?\n\"Answer: -2*y**3 + y**2 - 4*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206708 or -206711?\nAnswer: -206708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 6:50 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 5*l + 3. Let s(g) = g**2 - 6*g - 4. What is 5*c(r) + 4*s(r)?\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 185840 divided by 1840\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 20. Let s be l(12). Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32103110202 (base 4) to base 2\nAnswer: -1110010011010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 0 + 0 + 3*a**2 - 2*a + 2*a + (2*a**2 + 4*a - 4*a)*(4 + 1 - 4) - 29*a**2 - 56*a**2 - 57*a**2.\nAnswer: -140*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -280 in 1\/41, 0.4, 2?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -197, -3 in increasing order.\nAnswer: -197, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -23*m**2 - 3448*m - 34889. Determine h(-139).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*a - 2*n - 17, -5*a = -4*n + 51. Let v be (-4)\/3*((-117)\/18 + a). Find the second derivative of 41*o**4 - v*o + 10*o**4 - 8*o wrt o.\nAnswer: 612*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22704 (base 9) to base 3\nAnswer: 202210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23551019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.065? (a) -5 (b) 0.3 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 3 - 3*o + 4. Let c = 23 - 28. Let z be h(c). Let x(b) = -5*b - 2. Give x(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**7\/14 - y**3\/6 + y + 3. Let h(c) be the first derivative of j(c). What is the second derivative of h(l) wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = 4*m - 5*h, m + 48 + 53 = -5*h. Let r = m - -213. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 23*g + 14. Find the first derivative of -5*h - 37*h**g + h + 26*h**2 + 56 wrt h.\nAnswer: -22*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721333 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1058759 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112943\/21 - 5380. What is the common denominator of n and -65\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102301 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 4, -15 in descending order.\nAnswer: 11, 4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426403 and 1134959.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 8246 = 1638. Let m be 0 + 5 - (-4)\/(-4). Suppose m*w - 80 = -w. Calculate the highest common factor of w and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -23, -33, -41?\n\"Answer: k**2 - 15*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i**3 - 98*i**2 - 18*i - 9. Give c(-12).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/10*12\/64*208\/(-156)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-3)*87 - 2*1?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-98))\/((-156)\/(-1638))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 54 = d. Suppose -4*m + 6 = -m. Let k be (m\/(-3))\/((-12)\/d). Solve k = a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(-4*y - 5*y - y) + (y + 0*y - 3*y)*(6 + 12 + 32).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1199600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -11, -21, 4, -252 in descending order.\nAnswer: 4, 2, 0, -11, -21, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*y - 1161 + 1192, -4*g + 2*y - 14 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18166.3ug to kilograms.\nAnswer: 0.0000181663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181\/2 + 91. Put 1, -1, r in increasing order.\nAnswer: -1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifif when four letters picked without replacement from ffffnniifi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(15\/(-2)))\/((-450)\/125)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 15. Let f = u - 33. Which is the closest to -1? (a) f (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 18, 4, -94\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = 5*s - 0*o, s + 11 = 5*o. Let v = 0.8 + -4.8. Which is the nearest to -0.1? (a) v (b) 3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 2 o when four letters picked without replacement from uusgsssonoiu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*f + 13, -3*c + 12 = -0*f + 2*f. Suppose 18056 = 4*k - f*k + 3*i, -4*k = 4*i - 72232. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*j - 3*j**2 - 9\/2*j**3 + 0 - 3*j**4 - 3\/4*j**5.\nAnswer: -3*j*(j + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3058*l - 3336*l - 2*l**2 + 10412*l - 2509*l.\nAnswer: -2*l**2 + 1509*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -164560\nAnswer: -9\/82280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 24*h - 11*h. Put h, -1, 2 in ascending order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.108*-4.2.\nAnswer: -0.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3\/(48\/(-20)))*4. Suppose 0 = -j + 2*z + 4, v*j + 0 = 4*z + 8. Let t be 33\/2 - (-2)\/(-4). Solve 5*d - d + t = j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21055424 divided by 4\nAnswer: 5263856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 152*d\/7 - 1420\/7.\nAnswer: -(d + 10)*(d + 142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14146811 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-45)\/50)\/(-9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 18, 1, -36, -99, -194?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 9*u**2 - 27)*(u**2 + 8*u**2 + 2*u**2) + 0 - 5*u**4 + 3*u**4 + 2.\nAnswer: -101*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + sqrt(833)*-1 + 0)*5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 22 = y + 3, -4*y = 4*b + 28. Let z(n) = 9*n + 13*n + 0*n**2 - 4*n**2 - 5 - 7*n. Let s(c) = c**2 - c + 1. Let h(r) = -5*s(r) - z(r). What is h(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 11*w - 11. Suppose 5*o = -74*y + 78*y, 5*y - 45 = -5*o. Let g(r) = -r**3 + 4*r - 4. What is o*q(h) - 11*g(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24760.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (-2 + 2) - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from jjjaajjjjannnnnjnjn.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -351282, -351304, -351326, -351348, -351370?\n\"Answer: -22*t - 351260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - -52. Suppose -3*h - 108 - 42 = -5*q, 5*q - i = -2*h. Calculate the remainder when 88 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/4 + (-1)\/(-4). Let m be 13\/(-52) + 46\/(-8). Let l be m - -1 - (-3 + 2). Put -2, b, l in descending order.\nAnswer: b, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -559*x - 7233. Determine m(-14).\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8374 or -1592?\nAnswer: -1592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m - 316. Let p be y(16). Solve p*i + 6 - 26 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -4. List the prime factors of (-145)\/(-3) - 2\/f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01741*81330.\nAnswer: 1415.9553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + -5.8. Let o = 1.1 + -2. Let j = o + d. What is the third biggest value in j, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 smaller than 1589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11105340 + 235?\nAnswer: 11110015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 1 (c) -1 (d) 4 (e) 3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 3. Let u(k) be the first derivative of -4*k - 1. Suppose -2966*x + 228 = -2909*x. Give x*b(s) - 3*u(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.31 - 0.31. What is the second biggest value in b, 10, 3, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/81)\/l*l\/l**(9\/5)*(l**(-7)*l)\/((l*(l*l**26)\/l*l)\/l))**(2\/31) assuming l is positive.\nAnswer: l**(-28168\/12555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -9*i**5\/20 + i**3\/6 - 3*i. Let h be z(-1). Solve c = -3*c - h, 5*g = 3*c + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28235087*d**4 - 47561831*d wrt d?\nAnswer: -338821044*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-375)*2*(-15)\/(-24). What is the nearest to 0.1 in -0.5, u, 38?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 - 8395*s**2 + 230060*s - 426500 = 0?\nAnswer: -1706, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66 - 66 + 47*m + 0 + 5*m + 0 + (-2*m + 3 - 3)*(1 + 2 + 0).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, 1, 1699 in descending order.\nAnswer: 1699, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -0.4, -0.1, -2, 22, 5\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37430, 37429, 37428?\nAnswer: 37427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -530*a**2 + 39*a. Let b(k) = 88*k**2 - 6*k. Give 39*b(l) + 6*x(l).\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3424420 rounded to the nearest ten thousand?\nAnswer: -3420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1669 - -910. Let g = j + 1148. Let f = 976 - g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138310706 - -0.13.\nAnswer: -138310705.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*8642.928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)*(f*f**(3\/2)*f)\/f assuming f is positive.\nAnswer: f**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*11\/(-44)*(-1323)\/(-81).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 504169989.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*2450\/(-525)*3\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -825 + 841. Suppose -5*p = -4*r - 8, p = 4*r - 8 - 0. Let w(o) = 11*o + 2. What is the remainder when w(p) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001529 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*w**5 + 2*w**4 + 2039*w**2?\nAnswer: -8760*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18160557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + 234\/(-30) + (-48)\/(-10). Let q be (x + 0\/1)\/(-2*7). What is the nearest to -2 in -25, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -21*t**3 + 8*t**2 - 11*t - 5. Let p(o) = -7*o**3 + 3*o**2 - 4*o - 2. Let n(a) = 8*p(a) - 3*y(a). What is the units digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80654610, -80654609, -80654608, -80654607, -80654606, -80654605?\nAnswer: -80654604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185040 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**2 + 14283*z - 2269410 = 0.\nAnswer: -2530, 299\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 - 9*w)*(-2*w**3 - w**3 + 2*w**3 + (-2*w + 4 - 4)*(3*w**2 + w**2 - 2*w**2)) in the form o*w**4 + c + h*w**2 + s*w + a*w**3 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1510 and 63\/20036.\nAnswer: 15127180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239728392 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (376 + 643 + 124)*(-2*g**4 + g**3 - g**3).\nAnswer: -2286*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1054, 2064, 3026, 3916, 4710?\nAnswer: 5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301.2 + -280. What is r rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8468082 take away -0.03?\nAnswer: 8468082.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = 4*r, -3*i - 33 = -3*r. Let u be i\/(-5) - (-5 - (-81)\/15). Suppose u*d = -12*d + 3*d. Solve d = -21*q + 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*11\/11.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43978573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4 + 3658460*n**3 - 20659356*n**2 wrt n.\nAnswer: -48*n + 21950760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v - 124000 = 0. What is v rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -4*f, -25 = -f - 4*f. Suppose 5*v + 26 = -3*w, v + v - 2*w = -c. Let i(d) = -d**3 - 3*d**2 - d - 2. Is 9 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 16 = 5*i, -s = 2*s + i - 2. Solve -13 + 29 = 4*l, s*l - 13 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(288\/8)*-6*(-10)\/160.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5183*d + 5520*d - 10975*d - 11152 = 0 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*u = -109*u - 60. Suppose -n = u*n - 64. Solve -4*g - p = -3*g, -n*p = -2*g + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150*-0.2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -127*f - 68. Let l(y) = 127*y + 55. What is 5*l(m) + 4*o(m)?\nAnswer: 127*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.368279 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 2. Suppose 4*i = -5*y - 0*y - 32, -2*y - 8 = i. Determine x(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10698 + -2183. What are the prime factors of h?\nAnswer: 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*q*v + 2*n**3*v**3 + 1587*n**3 + n**2*q*v**3 - 57*n*v**3 + 12*q*v**3 + 2*q wrt n?\nAnswer: 12*q*v + 12*v**3 + 9522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 35607789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -25*q**5\/4 - q**4\/6 - q**3\/6 - 3*q. Let v be d(-1). Suppose 5*m = m + v. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 7*o - 7. Let k be y(8). Let a be -38 - (2 - 1)\/k. Let j = a - -61. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 6 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -4)*2*6*-3)**2.\nAnswer: -31104*sqrt(17) + 219024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 751281\nAnswer: 1\/250427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.04379 - 0.04454. Let r = h + -2. Round r to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93800 divided by 8\nAnswer: 11725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:55 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v + 16*v**2 + 59*v)*(3768*v**2 - 8*v**3 - 3768*v**2).\nAnswer: -128*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0, 1\/10, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let o be a(3). Suppose -v - o = v. Let g be 2 - (4 + 18\/(-10)). Are g and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528*-28\nAnswer: -14784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2216 + 15510\/7. Which is the nearest to 1? (a) -0.2 (b) -75 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3155*m - 3044*m - 1221 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:41 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*z - 544 + 559, -2*b = -2*z - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -34. Does 11 divide n*(-2 - (-58)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.5, 0.109?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -265*s**3 + 34*s**2 - 33*s + 6. Let j(n) = 176*n**3 - 24*n**2 + 22*n - 4. Determine 7*j(o) + 5*l(o).\nAnswer: -93*o**3 + 2*o**2 - 11*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:13 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 11*z**2 + 119*z**2 - 68*z**2 - 17*z**2 - 4*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 62 - (0 - -40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.768.\nAnswer: -0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 6649825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-102)*(-94860)\/3720\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231 greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - d**2 + d + d**4 + (3*d - 5*d**3 - 3*d)*(-d - 2*d + 4*d) to the form x*d + v*d**2 + p + j*d**4 + w*d**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:08 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125104 or 125110?\nAnswer: 125110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/59692 and 143\/39492.\nAnswer: 589339116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1498 + 1497 + 3*o**2 - 4*o**2 - o**2 + 4059*o)*(-18*o + 7*o + 10*o) in the form v*o**3 + u*o + j + h*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**4 - l**3 + 13*l**2 - 13*l - 7. Let i(a) = -2*a**4 + 4*a**2 - 4*a - 2. Let v(c) = -7*i(c) + 2*x(c). Factor v(u).\nAnswer: 2*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i + 130. Let b be w(9). Let c(t) = -t - 2. Let h be c(-2). Let v(q) = 2*q + 3. Let o be v(-2). Sort b, h, o.\nAnswer: b, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2525404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k**3 - 2)*(k + 357 + 48*k**2 - 177 - 181).\nAnswer: -48*k**5 - k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.5 + 35. What is the nearest to 0 in 0.3, -4, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.78545 to three decimal places.\nAnswer: -0.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, -2.8, 1, -1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 6. Let j be a(-6). Let u be 5 + j\/3 - 11. Let h = 8 - u. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:44 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose d*a + a = 36. Calculate the remainder when 25 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1638*v + 1682*v + 1658*v + v**2 - 4929*v.\nAnswer: v**2 + 49*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d**3 - 3*d**2 + 3. Let i(c) = 8*c**3 + 2*c**2 - 2. Give -5*i(a) - 3*v(a).\nAnswer: 5*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364316 by 9.\nAnswer: 364316\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + 6 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 7.63. Let u = 0.23 - v. Let l = -10.000035 - u. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*m + 2*x - 1, x = -5*m + 5. Let y be (-2)\/(6\/(-150)*2\/m). Is -2\/3 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 37. What is the remainder when 37 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 - 2*d**2 - d - 1. Let a be y(2). Let w be (1 - 25\/(-15))*(-108)\/(-8). What is the greatest common factor of a and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 - 51*y - 105. Calculate k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 - 4. List the prime factors of a(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*t = -4571 + 9079 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2)\/(4\/(-6)). Suppose -w + 5*w - 4 = y. Is (2\/(-4))\/(w\/(-178)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 20*h**2 + 6*h - 7. What is the units digit of n(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1141 (base 7) to base 10.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let i = 0 - b. Calculate the smallest common multiple of 9 and 1 + -1*(i + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876357.8 kilometers in micrometers?\nAnswer: 876357800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from {w: 1, l: 5, s: 3}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -123, -182, -241, -300, -359?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 2 = -2*x - 4*w, -2*x + 4 = -7*w. Let j(n) = -9*n**2 + n - 1. Let l(b) = 10*b**2 - b + 1. What is x*j(a) - 6*l(a)?\nAnswer: -15*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let f(y) = y**3 + 11*y**2 - 4*y + 4. Let d(j) = -f(j) - 6*h(j). Let x be d(-10). Is (x\/(-8))\/((-1)\/(-4)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*(5535\/574)\/(-27)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47743007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/9, 0, 0.5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.7062 from -171.\nAnswer: -165.2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 21. Let q be f(-31). Solve 4*i + q - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 4, -164 = -q + 4*m. Let y be (1 - 0)*q\/10. Let h = 1 + y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayy. What is prob of sequence yay?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 8*y + 4. Let r be u(-7). Let m(p) = 2*p**3 + 4*p**2 + 4*p + 4. Determine m(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5100585)\/63 - -14)\/((-1)\/3*1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2107 + 10?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 10*q + 11. Let p be c(-9). Let m be p\/(-10) + ((-6)\/(-15))\/2. Solve m*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-142)\/(-4) + (-9)\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55693672.\nAnswer: 2, 23, 53, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*d + 881*d = 1758*d + 16*t - 67, -3*t + 1 = -3*d - 2*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.321 - -119.321. Let t = g - 125. Let f = -5 + 8. Which is the biggest value? (a) f (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 + 561. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from {o: 12, p: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55827 + 55845.9945. Let q = 19 - y. What is q rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(0 - (-12)\/15). Suppose 3*f = 12, j*m - f = -2*f. Is m greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1)*(2*a + 4*a - 5*a) - 4*a + 0*a + 3*a + (-3 + 3*a + 3)*(3 + 1 - 5) as t + p*a and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 31495.549967.\nAnswer: 31490.549967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5*l - 3. Suppose -1 = -4*d + 23. Suppose 4*o - 33 = 51. Let v be 70\/o*d\/5. Calculate b(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -10*o + 42*o. Factor 2\/9*s**3 + o + 1\/9*s + 1\/3*s**2.\nAnswer: s*(s + 1)*(2*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:59 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -421 + 388. Let v(x) = x**2 + 20*x + 119. List the prime factors of v(y).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from qdqqdqiddmnd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0. What is the third smallest value in -0.2, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67166 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 131 + 23. Calculate the highest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -62, -73, -84?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11734.8398 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14053 (b) 0.1 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -1 - 7. Suppose -z*d - 106 = -x, 3*d + 55 = -x + 161. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 761423 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451639817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21671 + 39830. Suppose -4*q + 146941 = o. Round q to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 10) + (-6 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 - -204.999534. Round k to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + 84*m**2 - 48*m + 89. Let c be d(20). Calculate the highest common divisor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/60 + 7*o**4\/24 + 7*o**3\/6 + 6*o**2. Calculate m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(24)\/sqrt(6) + sqrt(4)) + (sqrt(2) - (sqrt(2) - -2*sqrt(72))).\nAnswer: -23*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987492131?\nAnswer: 3, 19, 11622761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33414.2 from -14443.51617.\nAnswer: 18970.68383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226 or -6544\/29?\nAnswer: -6544\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 23. Let x(b) = b**3 + 8*b**2 - 48*b + 3. Let v be x(4). Determine a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*n - n = 5, -h + 3 = 2*n. Let m(c) = -9*c**3 + 2*c + 1. Give m(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 791, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 9*z**2\/2 - 2*z + 1. Let q be (16\/10)\/(63\/35 - 2). Let s(b) = 14*b - 3. Determine q*p(o) + 5*s(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63204584 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/56 + 2\/(-7). Let s = -6 + 5. Let k be s*(-1 - (-1 + 0)). Is d at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 63. Solve -h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -3\/4 (c) -1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26127151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let p(s) = 64*s**2 - s + 1. Let n be p(c). Suppose -3*b = 5*l - n, -2*l + l - 4*b = -6. Calculate the highest common divisor of l and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/24 and 45\/236.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221530022 (base 6) in base 8?\nAnswer: 17225136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a hour in minutes?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326246 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*v - 114*v + 1077*v**3 - 441*v**2 + 37*v wrt v.\nAnswer: 6462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954870.9 grams to micrograms.\nAnswer: 954870900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6 + (4 - 4))*-1503. Suppose 0 = 11*t - 5*t + m. Let i = t - -1171\/7. Are -1\/10 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.4 (c) -3\/14 (d) 10 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 46\/105, 3\/5, -4, -2\/5, -7, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 22*y + 3 to p*y + b and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*m - 21*f + 76 = -14, 4*m - 4*f = -24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 15, -5*l - 39 = -9*l + 5*k. Suppose l*y = -0*y + 13998. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**5\/20 + a**4\/2 - 3*a**3\/2 + 2*a**2 - 5*a\/4 + 15. Factor f(k).\nAnswer: -(k - 5)*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -6*s - 252. Let u = 180 - s. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67359 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 30*w + 15120 = 537*w - 48*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3005, 2952, 2909, 2882, 2877?\n\"Answer: d**3 - d**2 - 57*d + 3062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1 + (1 + 0 - 3)*(0*d - 3*d + d))*(-7*d + 7*d + 2*d**3 - 17*d**2).\nAnswer: 12*d**4 - 102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649558941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -9 - (17 + (-7 - 2 - -1)) - 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5780 + 8707 = 11*r. Let d = r - 368. What is d rounded to the nearest ten?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/4)*t*t)\/(((t\/t**5)\/t)\/t)*(t\/((t\/(t\/(t**(-1)*t))*t)\/t))**21)\/((t\/(t**1*t))**(2\/101))**(25\/6) assuming t is positive.\nAnswer: t**(36157\/1212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - n**5 + 2*n**5 - 5*n**5 - 2*n**5 - 2*n**5 + (0 - n + 0)*(n**4 - n**4 - n**4) + 13*n + 13*n**5 - 13*n.\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1123 in -4, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 3. Let h be o(2). Let b be 1*(h - (1 - 1)). Sort 1, -3, b.\nAnswer: b, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -0.051 (c) 0.2 (d) 0 (e) 3\/4 (f) -1185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 3*g**2 - 51*g - 225. Let l be o(-4). Which is the closest to 5? (a) 1 (b) -3.1 (c) l (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/6 - (-8)\/(-48). Solve -d = -q*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) -3 (d) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4348.\nAnswer: -1\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 1. Suppose k*j - 53 = 75. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7711a9 - 34?\nAnswer: -771221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 55*q + 2. Let u(n) = 12*n. Calculate m(u(j)).\nAnswer: 660*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**2 - n**2 - 2*n + 7*n**2 + (2*n**2 + 0*n + 0*n)*(-3 - 1 + 6) + n**2 + 0 + 0.\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/(66\/(-77)*147\/315)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = 2*v. Let b(c) = -c - 2. Let g be b(v). Solve -3*d - 4 - g = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/78 + (-187485)\/4648410. Which is the second smallest value? (a) f (b) -6 (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 603720*c - 39224900.\nAnswer: -4*(c + 65)*(c + 150865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 68*f**4 - 7*f**3 + 21*f**2 - 1187740*f.\nAnswer: 40*f**3 + 816*f**2 - 42*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -7 - (18 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5851.42 to the nearest integer.\nAnswer: -5851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35773301?\nAnswer: 35773301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z = -198*z - 1610 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:54 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.7 and 4.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -15. Suppose -2*h - 3*h - 25 = 0, 0 = -m*x + 2*h + 65. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 34. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/23 - 174\/(-2001).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, 10, -1\/10, 43\/3.\nAnswer: -1\/10, 1\/2, 1, 10, 43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(343) + (-2*sqrt(343) + sqrt(343))*-3 + 0 + 5)**2.\nAnswer: 560*sqrt(7) + 5588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (43 - 21) + -35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0343, -0.033, 2\/25, -2, -5?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z + 1 + (0 + 5 - 1)*(8 + 7*z - 8))*(0*z - z + 3*z) + (2 - 2 + z**2)*(-3 + 1 + 1).\nAnswer: 53*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - ((2 - 3) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 minus 707?\nAnswer: -707.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by 5.\nAnswer: 244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 146.8. Put d, -5, -51\/7, 2\/11 in descending order.\nAnswer: d, 2\/11, -5, -51\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 - 12*i**2 - 10*i = 0. What is i?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - 65b?\nAnswer: -6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-100)\/28 + 1 - -2. Let q = -24 + 23.8. Let x = q + -16.8. Put x, 2\/9, z, -0.1 in increasing order.\nAnswer: x, z, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -427*b**2 - 3014*b - 170. Calculate p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1\/4*w**4 - 10 + 11\/2*w**2 + 13\/3*w**3 - 8*w. What is the units digit of a(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 77*m - 73*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 77 = -5*a, -4*a - g + 42 = -24. Let k(h) = 12*h**2 + 66*h + 286. Calculate the remainder when k(-4) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5284 - 5272.506. Let q = z - -0.106. What is q rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 924676 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqv when three letters picked without replacement from {q: 1, f: 1, y: 1, v: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - n - 43. Let b be t(4). Put b, -9, 4, 3 in decreasing order.\nAnswer: 4, 3, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 32 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*z**2 + 5271*z + 79*z**2 - 254*z**2 + 91*z**2.\nAnswer: 5*z**2 + 5271*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1283000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/102)\/(18\/366) and -41\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**7\/1260 - 47*u**6\/720 + 5*u**5\/36 + 2*u**4\/3 - 3102*u**2. Determine f, given that z(f) = 0.\nAnswer: -48, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*y = 46, 4*o - 3*y - 59 = -0*o. Let u = o - 0. What is the remainder when 97 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.1 + -99.7. Which is the closest to 2? (a) 4 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 971*o**2 + 5799*o + 8685.\nAnswer: (o + 3)**2*(o + 965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 1\/10 (c) -2090 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 5 (c) -1\/5 (d) -1\/1078\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31488 divided by -10496.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -100826.\nAnswer: -100825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 6795*l.\nAnswer: -l*(l + 6795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18885466.\nAnswer: 2, 37, 255209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13999841*d**2 + 18912*d + 128 wrt d.\nAnswer: -27999682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*y - 127*y - 28120 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 + 7 - 4 - 1 + (-3 - 1 + 6)*(-1 + 6 - 4))*(-2*g + 4*g - 3*g)*(-10*g**4 + 7 - 7).\nAnswer: 60*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 214 (b) -1\/2 (c) 0.3 (d) -0.09 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/3 + 382435*v**3\/3 + 764861*v**2 + 3441865*v\/3 + 1529716\/3 = 0?\nAnswer: -382429, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/2257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -31\/2 (c) -2\/205 (d) 0.3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 335*d + 340.\nAnswer: -5*(d - 68)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -1 - (-836 - -902)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -138 in 2, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 6*x - 6*x + (3*x - 4*x + 0*x)*(6*x**2 + 108 - 108) in the form o*x**3 + q + p*x + f*x**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*l**2 + 0 + 0)*(-1 - 4 + 3 + (-4 + 1 + 0)*(1 - 2 + 2) - 5 - 14 + 8 + 2 + 1 - 2) in the form t + v*l**2 + n*l and give v.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-588)*-1 + 94\/546.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let k be r(3). Suppose 385 = 2*p + k*p. Suppose 5*y + s - p = -10, -4*s - 26 = -y. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from ggygggyzyyyyy?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 + 107 = 2*t - 3*m, -5*m = -4*t - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/30*(-1)\/(-15). What is the biggest value in 4, -0.5, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-3 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278.774066 rounded to the nearest 10?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.4027 tonnes to nanograms.\nAnswer: 46402700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40 - (13 + (-6045)\/(-351)). Determine i so that -t - 52\/9*i - 4\/9*i**2 = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 - 47*c - 62. Let q be k(17). Let s = 884 - q. Let h(g) = -g**3 + 9*g**2 + 21*g + 7. Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, 5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.1965, 3\/7, -0.3, -0.0278?\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:54 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 164*r + 20447. Determine c(-125).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7431.07 rounded to the nearest 10?\nAnswer: -7430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1 + 7\/(-2)). Let n(f) = f**3 - 6*f**2 - 7*f - 1. Let d be n(7). Let q = u - d. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(363))\/sqrt(11))\/(sqrt(121)\/(-1*sqrt(11)) - sqrt(11)))**2 - (-4 + sqrt(12)\/sqrt(4) - 4*(1 + sqrt(3) - sqrt(3))).\nAnswer: -sqrt(3) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1895*i**3\/6 - 273*i**2\/2 + 5808*i. What is the derivative of j(p) wrt p?\nAnswer: -1895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 601 = -3*w, -w + 35*q - 31*q + 227 = 0. Solve -6*v + 177 = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 19, 42, 65, 88, 111?\n\"Answer: 23*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 1, a: 1, e: 3, q: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (5 - (-28)\/(-7)). Let q(i) = i**2 - 6*i - 6. Give q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169058566 to the power of 1\/2, to the nearest integer?\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*1 + -5 - sqrt(931).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -22. Let n = p - 5.3. Let s = 4.97 - -0.03. What is the nearest to 0 in n, -2\/3, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u = 2*x - 134, -4*u = 5*x - 272. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*v - 1. Let d be -2 - (-6)\/4*(v - -3). Let x be d - (-5 + 21)\/4. Are -7 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32200 + -10?\nAnswer: 32130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 83*a - 2733. Give z(0).\nAnswer: -2733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r**(1\/9))**(-26) assuming r is positive.\nAnswer: r**(104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (40 - 21) + -40 + 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135.2 - -31.8. Let m = -170 + j. Let n be 1 + (-2 - -1 - 5). What is the closest to 0 in 2, n, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40236247*k**5 + 154994478*k.\nAnswer: -804724940*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57125.\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/36)\/(((-18)\/6)\/((-27)\/(-6))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 376*t - 5235. Let z be k(19). What is the greatest common divisor of z and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhthhhhvhtvvvhhh. Give prob of picking 2 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2008957, 2008955, 2008953, 2008951, 2008949, 2008947?\nAnswer: 2008945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + 2*k - 2. Let y be d(3). Let c = 1 - y. Let p(s) be the second derivative of -s**4\/6 - 2*s**3\/3 - 3*s**2\/2 - 3*s. Calculate p(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 - 4. Let o be u(4). Let t = o - 8. What is the smallest common multiple of 12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*a - 59. Suppose h = -5*z + a, 5*h + 2*z - 168 = 4*z. Suppose -5*w + w = -h. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*y + 150 + 60, 5*y = 3*q + 190. What is the highest common divisor of 2624 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1250 - -1257. Let y(d) = -2*d**3 + 14*d**2 - 2*d + 7. Calculate y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vww when three letters picked without replacement from wwwwwvvwwwwwwwwwwvww?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 11*d**2 + 4*d - 1. Calculate p(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 - 100 = 0. Let d = -13 + p. Suppose d = -0*c + 2*c - 66. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -155, -219, -279, -335, -387?\n\"Answer: 2*j**2 - 74*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*q - 23, 3*q = -q - 20. Let n be (p - 14\/(-16))*-22. What is the closest to -0.1 in -2\/9, -0.4, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 441219\nAnswer: 4\/441219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 1 + 1)*(i**2 - 2 + 2) + 0*i**3 + 4*i**3 - 3*i**3 + 10 - 4*i**3 - 13 + 5 to n*i**3 + z*i**2 + c*i + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125, -62, 41, 184, 367?\n\"Answer: 20*x**2 + 3*x - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 3117673*f**2 - 7*f**3 + 3117624*f**2.\nAnswer: -13*f**3 - 49*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 451, 973, 1551, 2215, 2995?\n\"Answer: 5*p**3 - 2*p**2 + 493*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/2520 - f**6\/144 + f**5\/30 - f**4\/6 - 11*f**3\/6 - 193*f**2. Let r(h) be the second derivative of b(h). Calculate r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -26. Suppose -56 = -3*s + 2*a, -2*s + 3*a + n = -11. What is the remainder when 52 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (6 + 12 + -19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-17\/6))**(-5\/9)*(z**(-5)\/z*z*(z**7*z)\/z*z)\/(z**0*z*z)**(-3) assuming z is positive.\nAnswer: z**(158\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -165394?\nAnswer: -29\/165394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4524)\/(-3))\/(27\/(-513)). Let y = -8991 - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-2))\/(-8*(-1)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 3*k + 4. Let p(j) = j**2 - 2*j + 2. Suppose -5*a = 3*n - a + 13, 4*a - 42 = 2*n. Let h(i) = n*p(i) + 6*t(i). Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/16)\/(3\/(-6)). What is the common denominator of (-2324)\/21*j\/(-20) and 98\/(-54) - (1 - 1)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5 + p - 2*p + 10. Let k be c(11). Suppose k*h - 2*l + l = 24, 0 = -2*h + l + 12. Solve h*o + 5 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1952 by 4.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 + -345. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153) + sqrt(17) + 1*sqrt(17) + 4)**2.\nAnswer: -104*sqrt(17) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/28270940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 1329120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4371 + 8.4371. What is the closest to -2 in -0.01, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5404, -9311, -11722, -12637, -12056, -9979?\n\"Answer: 748*a**2 - 6151*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 465*u - 946*u + 461*u + 3*u + 2*u - 3*u + (-2*u - 5*u + 5*u)*(3 - 6 + 1) - 2*u - u + 4*u to the form b*u + o and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.57\nAnswer: 0.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 4434*u**3 + 11*u - 2 - 11*u**2 + 7*u**2 - 4720*u**3 to o*u**2 + s + a*u**3 + r*u and give a.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502360249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/20 + 0)\/(60\/225). Solve -l - 43 = -13*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 1 + -4 + sqrt(50)\/sqrt(10) + 1 + 0 + -2)**2.\nAnswer: -40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 4*n - 28, -4*n + 1 = -5*u. Let f be (9\/(-6))\/(u\/(-14)). Let i = -8 + f. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 192\/6 - (-1)\/1. Let y be (q\/(-11))\/(33\/(-2)). Let s be 5\/2 - (-2 + 5). What is the closest to 0.2 in y, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 9 (b) 4 (c) 0.5 (d) 56 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10033.941983 to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**6*w))\/w**(-3\/8))\/(w**(-2\/11))**(2\/133) assuming w is positive.\nAnswer: w**(51237\/11704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26364 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t + 3. Let s(n) = -20*n - 4. Let m(r) = 161*r - 641. Let f be m(4). Give f*w(z) + 2*s(z).\nAnswer: 20*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7*-3403919\nAnswer: 23827433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + -11?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:13 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4002*k = 4066*k + 448 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 29*r**2 + 44*r - 2. What are the prime factors of z(33)?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 84 + 0*l - l - 3*l + 2*l to the form g + i*l and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12435522 (base 7) to base 10\nAnswer: -1135248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**(-1\/4))**19 assuming t is positive.\nAnswer: t**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -66. Let l(q) be the third derivative of -3*q**2 + 1\/72*q**4 + 1\/180*q**5 + p*q + 0 - 1\/9*q**3. Factor l(x).\nAnswer: (x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q - 13. Let u be f(-2). Find the first derivative of 5*w**3 + u*w**3 + 50 - 38*w**3 wrt w.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.02, -2, 0.085, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 53. Suppose -5*v - 60 = -2*i + 47, i - 5*v - 66 = 0. Let n = i - o. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13831548 is divided by 2305249?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(330)\/(sqrt(33)\/sqrt(3)) - sqrt(30))\/(sqrt(10) + sqrt(90)\/sqrt(225)).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/30 - (-34)\/10. Put -4, g, 15 in decreasing order.\nAnswer: 15, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*q - 11 - 7, -4*k + 4*q = -28. Solve 0 = -2*w + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/35 and 1*-2 - 14697\/(-12420).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35082.21 litres in millilitres?\nAnswer: 35082210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 + 7 + -4)*10\/(-14). Let a(k) be the second derivative of 3*k**3\/2 + 3*k**2\/2 + k. Does 9 divide a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 3) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.767363 decades?\nAnswer: 0.09767363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + n = -n + 2176, 0 = 2*u - 3*n - 1088. Let j = u + -364. Suppose -x - 4*x = -2*s - 269, -3*x - 5*s + j = 0. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-4 - (1 - 5)). Sort v, 2, -3.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 6*w**4 + 0*w**4 + 0*w**2 + 0*w**2 - 6*w**4 + (5*w**4 - 2*w**4 + 0*w**4)*(-4 + 0 + 1).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1061887, 1061886, 1061885?\nAnswer: 1061884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqvvkvsvqquuqqk. What is prob of picking 1 u and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 7*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/19 (b) 0 (c) -3 (d) 2\/11 (e) 2\/19 (f) 5 (g) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 0.7. Let l = u - 6. Let h = 0.2 + l. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:08 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lelellllle. Give prob of sequence elee.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -275*d**5\/4 + 12205*d**4\/4 - 6751*d**3 - 5308*d**2 - 216*d + 252 = 0.\nAnswer: -2\/5, 2\/11, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2842, 11378, 25608, 45532, 71150, 102462?\n\"Answer: 2847*m**2 - 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3935, 15666, 35203, 62540, 97671?\n\"Answer: -q**3 + 3909*q**2 + 11*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40455266 divided by -6.\nAnswer: 20227633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 578516 or 578507?\nAnswer: 578516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92432\/5 - 18386. Is i less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18856829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**3 + 9*g**2 + 7*g + 33. Let h be l(8). Let u = h - -11810. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -11. Let v = 18 - y. Solve 0 = 3*t - x - 3*x, v = 2*t + 5*x + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -44448 (b) 0.1 (c) -2\/7 (d) -4 (e) -3 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-9))\/8*6\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kealgalagavl. What is prob of sequence aeav?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24495012 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*h = -5*s, -s - 16 = 3*h. Put 0, 3, -13, s in descending order.\nAnswer: 3, 0, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-31)*((c\/c**1)\/c*c)\/(c\/((c\/c**(-2))\/c))*c**6\/c**(-2\/11)*(c*c**1)**(-1\/16) assuming c is positive.\nAnswer: c**(8561\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w + 156. Give m(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 6 + 6. Let k = 472 + -467. Suppose 15 = -k*i, -w*v + 4*i = v - 252. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706873559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/120 - g**5\/12 + 11*g**4\/24 + 19*g**3\/6 - g**2 + 9. Let p be j(-6). Sort 2, p, 0 in increasing order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 45, 15.\nAnswer: -4, 0, 15, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 1\/80*i**5 - 14*i**2 - 1\/16*i**4 + 0 + 0*i - 3\/8*i**3. Factor o(w).\nAnswer: 3*(w - 3)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5)*-1 + 0 + (sqrt(5) + (sqrt(10)\/sqrt(2))**2 + sqrt(5) + 2)*2.\nAnswer: 3*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 334868*l - 2009248. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-6)\/(-10))*(-10)\/(-98). Let p = -1 + 1. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -12*q + 414. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 - (-5 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 17. Let p = 1 - a. What is the nearest to p in -1, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84178.\nAnswer: 2, 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 795789, 0, -4 in decreasing order.\nAnswer: 795789, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 203804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*m + 70. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-8927.758\nAnswer: -35711.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -2. Let j = -17 + n. Find the third derivative of -5*c**2 - j*c**2 - 6*c**6 + c**6 + c**2 wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**2 + 7. Let c(q) be the third derivative of 0*q**4 + 0 + 0*q - 1\/3*q**3 + 2*q**2 + 1\/20*q**5. What is 14*c(k) + 4*n(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = 8*j - 10*j, 5*j - 10 = -t. Solve -t = -p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 23*u = l + 140, 21*l - 21*l + 3303*u - 3305*u = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 32*j. Let f = 196 + -178. Let l(p) = 19*p - 38*p + f*p. Give l(r(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.8. Let z = 13 - 12.1. Let q = 2.9 - z. What is the second smallest value in q, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 165, 171, 179, 189?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24834 divided by 8278?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -704, -707, -712, -719, -728?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 40 = -5*f, k = -3*f + 17. Suppose -f = -m, 5*u = m + m + 112. Let s = 36 + -26. Calculate the least common multiple of s and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgk. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7187145 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: Let h(x) be the second derivative of -114*x + 0 - 1\/2*x**3 + 0*x**2. Let g(m) = -20*m + 2. Give g(h(s)).\nAnswer: 60*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:07 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 871 + -869. Let o = 2 - 1. Let y(f) = -f**2 - f. Let k be y(o). Which is the third smallest value? (a) -0.5 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q = 148*q + 4268 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 125502\/(-300) - -6. Let g = 815\/2 + s. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 495, 1034, 1585, 2154, 2747, 3370, 4029, 4730?\n\"Answer: g**3 + 532*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1227503*n. Let p(f) = 3*f. What is p(o(b))?\nAnswer: 3682509*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128127.892586 - 128128. What is n rounded to three decimal places?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*6\/(-224)*-4.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 17*u - 9. Let n(a) = 2463 - 2*a - a**2 - 1238 - 1224. Determine -6*f(r) - 51*n(r).\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3, 0*s + 3*s + 2*z - 389 = 0. Let x = s - 28. Suppose -x - 84 = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382261502 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21*(-2)\/(-4). Let d = 228 - 228. Which is the nearest to d? (a) s (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8*v - 3*v**3 - 3 + 7*v**3 + 12*v as w*v**3 + n*v + h*v**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113877 * -67.\nAnswer: 7629759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-4)*(-12)\/14)\/(3\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let v = -95 + 97. Let a(w) = -1640*w + w**v + 1640*w + 17. What is z(a(t))?\nAnswer: -2*t**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2729371 and 11060.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5994 divided by 1.\nAnswer: -5994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 36*y**2 - 2*y + 2. Calculate n(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 4\/7 (c) -1\/2 (d) -0.1 (e) 2351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let w be y(-7). Suppose 0*m = -m + w. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b + a + 29, 5*a = -4*b + 72. Let g be -1 - (-11 - 0\/(-1)). Let c = b + g. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101238214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 828413581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -43. Let t = 68 - q. Let r = -6 + 19. Calculate the remainder when t is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y. Let j = 139 - 206. Let h = -69 - j. Determine g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose y - r*u - 11 = 0, -u - 22 = -2*y - 2*u. Suppose y = -0*p + p. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15540 or -15539?\nAnswer: -15539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-78)\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - m - 305, -13*m = w - 12*m - 75. Let s = 2 + 0. Suppose 4*p + 4*d - w = 3*p, 0 = -p - s*d + 82. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = -25. Let b(q) = -q**2 - 10*q - 9. Let y be b(-6). List the prime factors of y\/2*(-28)\/h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 2. Let z(t) = 3*t**2 - 4*t - 35. Determine -5*i(f) - z(f).\nAnswer: 2*f**2 - f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 265 + 502. Suppose 47 + m = -11*b. Let i = b - -78. Solve 0 = 2*f - i - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p + 31*p + 5*p + (0 + 4 - 2)*(-2*p - 2*p + 3*p))*(8*p**2 + 0*p**3 - 3*p**3 + 2*p**3).\nAnswer: -48*p**4 + 384*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26 + -336)*16\/(-20). Calculate the greatest common factor of 403 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 141594*g = 141596*g - 67, m + 31 + 71 = 3*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -6961274\nAnswer: 12530293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2 = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 2\/7 (b) -15 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v - 1206808 = -3*q - 24*v, -2*q - v + 804537 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**(9\/5))\/y))**(-1\/6)\/(y**2)**5 assuming y is positive.\nAnswer: y**(-157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -246 and 10.63.\nAnswer: -235.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -82926918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-2 - -5)) + 0 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 18. Give p(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/71 (b) 3 (c) -3 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*i**2 + 8\/15 + 16\/15*i.\nAnswer: 2*(i + 2)*(3*i + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/8 + 45*u**3\/2 + 527*u**2\/8 - 90*u - 531\/2 = 0.\nAnswer: -177, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 53*q + 3*q**3 + 70*q**3 + 87*q + 4*q**4 + 66*q**3 wrt q.\nAnswer: 48*q**2 + 834*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l - 3. Determine a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r + 97. Let f be p(-8). Let a be (f\/(-21) - 187\/21)\/6. Is -0.1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 57688 = -2*f + 36688, -u = 1. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 10*z**3 + 5*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5148 and 6534.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*p**2*s**3 - 2*f*p**2 + 631*f*p + 2388*p**2*s**3 + 3*p - 2 wrt s.\nAnswer: 3*f*p**2*s**2 + 7164*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 20, 0*f = -3*f + 3*t - 21. List the prime factors of (-2)\/f + 93\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24294804 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w**3 - 31*w**2 + 48*w - 47. Give k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 10*a - 5. Let z(m) = -m**3 + 9*m**2 - 8*m + 9. Let p be z(8). Calculate the smallest common multiple of q(p) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 1. Let g(u) = -4*u**3 + 4*u**2 - 4. Let m(w) = w - 9. Let v be m(5). Determine v*i(b) + g(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1388.4 - 1504.97. Round p to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 - -269.9. Round p to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96609.0464 and 123.\nAnswer: 96732.0464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 172.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 3*y**2 - 6*y**2 + y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/14)\/((-264)\/(-154)))\/((-2)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3991 is divided by 3990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/10*(374\/(-204) - (-3)\/18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t - 2. Let g be j(-2). Let q(p) = p**3 - 16*p**2 + 15*p + 8. Let l be q(15). What is the highest common factor of l and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 44. Let k = -50 - -43. Let r be o(k). What is the third derivative of 39*s**5 + 9*s**2 + 11*s**r - s**5 - 6*s**5 wrt s?\nAnswer: 1920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2, -k = -3*w - 0*w - 373. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 2*m**3 + 0*m**3 + (3*m + m - 2*m)*(-4*m**2 + 2*m**2 + 4*m**2))*((0*m + 0*m + 2*m)*(85*m - 88*m - 318*m) - m + 2*m**2 + m).\nAnswer: -1280*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51566684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 1272*b - 12741. Determine a(-244).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/445 and -97\/10?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67897768.98908 - -18?\nAnswer: 67897786.98908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1318213338?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37444 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o + 81. What is the smallest common multiple of u(18) and 66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -60276 divided by -6.\nAnswer: 10046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 6. Let t(q) = -q**2 + q - 9. Let z(o) = 3*d(o) - 2*t(o). Let l(f) = 6*f**3 - 4*f**2 + 5*f. What is l(k) - 4*z(k)?\nAnswer: 6*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**3 - 28*h**2 + 169*h + 10. List the prime factors of m(8).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06360005498 + -0.0636. Round v to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + 63. What is the remainder when n is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.087868854 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + 14\/21. What is the units digit of x + 3\/((-12)\/(-88))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 41. Let p = 1 - -1. What is the remainder when 1*-1*p - -52 is divided by n(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/11 - 11674*v\/11 + 11312940\/11 = 0. Calculate v.\nAnswer: 1227, 4610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 3*o + 6. Let z be s(6). Differentiate -11 + z + 13 - 14*r wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(216)*-2*-6)\/(5*(sqrt(162) - (sqrt(162) + 2*(sqrt(162) - sqrt(162)*-1)))).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*s**3 - 2*s**2*u**2 - 9683*s**2*u - 18*s*u**2 + s*u + u**2 - 25544*u + 1 wrt s.\nAnswer: -1014*s - 4*u**2 - 19366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -9, -41.\nAnswer: -41, -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2825 + -917. Calculate the greatest common divisor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 52. Is ((-53)\/p)\/(125\/20 + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjpppcrp. What is prob of sequence fr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 68635*l - 216222210.\nAnswer: -5*(l - 8829)*(l - 4898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436606877 is divided by 431.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l. Let p(t) = 4*t + 3. Let c(k) = -23*k - 17. Let n(f) = 6*c(f) + 34*p(f). Calculate n(x(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 35*k - 22. Let u(z) = -z**2 + 52*z - 34. Determine -5*u(s) + 7*v(s).\nAnswer: -2*s**2 - 15*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9331513*l**4 + 16191929.\nAnswer: 37326052*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 >= 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 212?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1711107 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*t - 35 = -8, -69*t + 801 = 3*i + 396 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*r + 134704, -6*r = -10*r - 4*i + 269384. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = -y. Suppose c = -4*b - 802, -140 - 854 = 5*b - y*c. What are the prime factors of 2\/(-12) - b\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*x + 886 = 195*x. Let h = -433 + x. Solve h - 7 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-24)*(6\/18)\/((-2)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -834\nAnswer: -1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxhxhqhxxqqhx. Give prob of sequence xqh.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + z - 2. Let p be h(2). Let s = -10 + p. Find the first derivative of q**3 + 0 - s + 2*q**3 wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20146 divided by 7\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2095907*y**3 + 2415485?\nAnswer: 6287721*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-3) + 5)\/(-1). List the prime factors of 0 - 3\/(g\/28).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 2233*j**2 - 1157*j - 4002*j**2 + 2 + 814*j**2 - 784*j**2 wrt j?\nAnswer: -12410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 1. Suppose 5*m + 16 = d. Suppose -3*g + 10 = -m. Sort 19, 3, g in descending order.\nAnswer: 19, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122796?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*o - 72. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.06 + 0.06. Let c = -1 - 4. Let i = -204 - -1425\/7. Sort i, t, c.\nAnswer: c, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/20263461 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 194264113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 6*x + 7. Let h be r(-3). Let t = h + -1. What is the remainder when 1 - -2 - (-150)\/t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*y + 333*y + 58*y**3 + 339*y - 59*y**3 - 1012*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**0))\/a*a)\/(a*a**1)*(a\/(a*a**5\/a))\/(a\/(a**(2\/21)\/a)) assuming a is positive.\nAnswer: a**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -5*f**2 - 579*f - 10572. Give k(-58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-144)\/(-120)*3\/(-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*6386\/(-3224))\/(-1*(-3)\/12).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s = -43*s. Suppose s = -2*k + 2*a + 150, k + 3*k - 303 = 5*a. Calculate the least common multiple of k and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629998.\nAnswer: 2, 269, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12069 and 894?\nAnswer: 24138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaakakkkkkakkaaaaa. What is prob of picking 3 a and 1 k?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (732025\/(-3525))\/(14*2\/(-12)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93717 and 0.3364612778.\nAnswer: -93716.6635387222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -62, 1 in ascending order.\nAnswer: -62, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Suppose 0*b + 2*c = 4*b - 8, 4*c = t*b - 16. Suppose 9*h - 10*h + 2 = 0. Solve b = 4*o - h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4984 - 20239 - 15437 - 2604 = 832*u for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -168, -252?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.375835 to 3 decimal places.\nAnswer: 0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10814850 rounded to the nearest ten thousand?\nAnswer: -10810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/15 + 70\/30. Let k(o) = o + 6. Let u be k(-8). Let l be 16 - ((-2)\/u - 0). What is the highest common factor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1920*j**5 + 3*j**4 + 5*j**3 - 222*j**2 - 262*j wrt j?\nAnswer: -115200*j**2 + 72*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.8. Let k = 815306\/7 + -116277. Let u = 195 - k. What is the third biggest value in z, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*n - 14 - 13, 3*n + 12 = 3*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10\/21, -12, -1.124?\nAnswer: -1.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + 2.06. Let n = -3 + b. Are n and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 100 - 15 = 0. Let c be 2 - -1 - f\/(-5). Let t = -91\/6 - -15. Put -2, t, c in ascending order.\nAnswer: -2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -60. What is the highest common factor of u and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**3\/5 + 258*j**2\/5 + 228*j = 0.\nAnswer: -38, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47)\/(-3) - (-1)\/((-3)\/(-1)). Let p be ((-153)\/36)\/((1\/f)\/(-1)). Let c = -63 + p. Solve -c*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1005 - -2341. Suppose l = 2*h - x - x, -2*x - 2682 = -4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 45018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42369\/9872 >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = 2*r + 3*r, 5*r - 4*x = -25. Let p(d) = d + 1. Let j(h) = -6*h - 4. Let o(t) = r*j(t) - 4*p(t). Let q(u) = 2*u. Calculate o(q(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2 - 42\/60)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 155*j**4 - 6562*j**3 + 75438*j**2 - 131805*j + 62775 = 0. What is j?\nAnswer: 1, 15, 45, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 - 82*u - 244. What is r(-11)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347821817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-42)*(-6)\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3084 - -3197. Sort 4, -3, 1, d in descending order.\nAnswer: d, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1937\/(-26))\/149*-88.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 3:08 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1087 - 0.0131. Let n = -9.4918 - b. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 12*o + 14. Give c(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-108)\/(-7))\/((-236)\/(-4956)). Is 322 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 less than -568405?\nAnswer: -568403.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 50 = 5*t, t + 95 = 3*g - 23. Calculate the highest common factor of g and 952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4070186 + 3857891.7. Let m = o - -212295.4000007. Let l = 1.1 - m. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 - 870*d**2 - 4071*d - 6697. Give r(77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 74. Suppose o*u - 8*u + 24 = 0. Sort u, 0, -2 in ascending order.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(4 - 0 - 4). Suppose y = -2*p - 3*p + 375. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12992577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 9*h + 5110. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(9\/(-45) - (-326)\/(-20))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120308.\nAnswer: 2, 19, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 25, 114, 237, 394?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 223 divided by -866768\nAnswer: -223\/866768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than or equal to -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5033, 10066, 15099, 20132?\nAnswer: 25165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 + 5*j - 7. Calculate w(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34293839317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*u = -3*k + 113, -5*k + 293 = 2*u. Let j(o) = o + 7. Let h be j(-6). Suppose h + 19 = f. What is the remainder when k is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*r - 24, -10*r + 5*t - 4 = -14*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:48 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4408 is divided by 204.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1053) - (2 + sqrt(13) + sqrt(13) + 2) - ((sqrt(143) + -1*sqrt(143))*3 - sqrt(143))\/sqrt(396).\nAnswer: -281*sqrt(13)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cc8 (base 15) in base 16?\nAnswer: -25a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -558\/7 + 80. Suppose -24*t + 4*t = 17*t. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344555026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 5245865089160.\nAnswer: 5245865089159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 5, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:28 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -4*p**6\/135 + 542*p**5\/45 - 73981*p**4\/54 + 2710*p**3 - 2025*p**2 - 1497*p - 3. Factor d(u).\nAnswer: -2*(u - 135)**2*(2*u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(5\/((-30)\/9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 102. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 8465 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*j + 45 = -61, 4*j + 310 = 5*s. Which is greater: 648\/11 or s?\nAnswer: 648\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.03778 nanometers in millimeters?\nAnswer: 0.00001803778","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**13*o*o**20)\/((o*o**(1\/11))\/(o**(5\/4)\/o)) assuming o is positive.\nAnswer: o**(1503\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 + 190. What is the least common multiple of 38 and w?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r**4 - 12*r**4 - 20 + 22 - 44*r to the form d*r**4 + p*r**2 + l + g*r**3 + j*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, u: 6, r: 10}. What is prob of sequence unrr?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126633.143 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + t - 4, 0 = 4*t - 20 + 4. Is u < 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*b - 10*b = 23, -r + 4*b = 3*b + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 1781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*-2*(-1)\/(-4). Let q(t) = -12 + 2*t + 0*t + 7 - 8. Let i be q(9). Solve d*o - i*o = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/6*(-16)\/24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x**3 + 31953*x**2 + 34771*x + 2760 = 0.\nAnswer: -1, -5\/58, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12324, 0, 3, 67 in decreasing order.\nAnswer: 67, 3, 0, -12324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*3*(-5)\/45.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177721 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139214 divided by -47.\nAnswer: -2962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 8. Calculate the remainder when 61 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(((-8)\/448)\/((-85)\/136))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 5:24 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -33*b**3\/7 - 71997*b**2\/7 - 124260*b\/7 = 0.\nAnswer: -2180, -19\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 37, 0.2, 1\/6, 12.7, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -db (base 15) in base 16?\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 15. Let r be ((-12)\/20)\/((-2)\/p). Suppose -r*f - g + 4 = -2*g, -4*g + 20 = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24768 and 186147.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/2)*h\/h**(1\/3)*(((h*h**(1\/6))\/h)\/h)\/(h*h*h**7\/h))**(1\/5))**(-1\/79) assuming h is positive.\nAnswer: h**(4\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 6) to base 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:16 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -7698881662832.\nAnswer: -7698881662832.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -70?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*g = -8, 4*g + 17 = 5*m - 23. Calculate the smallest common multiple of 13 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2 - 19 + 21 + 32*u. Let x(m) = 6*m. Calculate x(p(k)).\nAnswer: 192*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182.9 + -184.9. Which is the nearest to -0.2? (a) 9 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/57 + (3 - 328\/133)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -d?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1\/(27\/(-6))). Let w be (-2)\/a + (-835)\/(-9). Let j = -34 + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - 22. Let b = -45 - h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -543*u + 2. Let s(v) = -v**2 - 8. What is s(q(d))?\nAnswer: -294849*d**2 + 2172*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 3*h - 2. Suppose 13 - 3 = -5*f. Let k be l(f). Suppose 9*y - 4*y = 10. Solve k = y*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-75 + 43 + 231*z + 32).\nAnswer: 231*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 13*g - 7. Let s be q(12). Solve -s*i - 3 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + (-69)\/(-21). Let y = l + 3. Is (-45)\/y*-2*1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 16) in base 4?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*u - 29, -5*j + 40 = -3*u - u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464259157\/882 - -526371. Calculate the common denominator of g and -71\/196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 862877?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen halves of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*b - 8 = 0, 129 = -3*v + 15*b + 99 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-35 - (-42 - -22) - -7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 4. Let a(g) = g. Let v(d) = 5*d - 41. Let x be v(9). Suppose -4 = -j, -5*j + 4 = -x*c - 0*j. Determine c*a(m) - f(m).\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11*v = 6*v - 1124, 3*v - 12 = 0. Is j\/(-39)*(-69)\/4 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*(d\/d**2)\/d*d)**15*(d\/(d*d**1*d*d*d))**(-1\/3) assuming d is positive.\nAnswer: d**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2.105561?\nAnswer: 0.4211122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 57, 135, 245, 387, 561?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2975, 1, -15 in decreasing order.\nAnswer: 1, -15, -2975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 1 + 5*z - z)*(z + 3 - 3)*(z + 4 - 4).\nAnswer: 4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s**2 + 5*s**2)*(34*s - 74*s - 3*s**3 + 37*s).\nAnswer: -9*s**5 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-960)\/(-465) - 2\/(-31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39542 = 17338*f - 16175*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*v - 2*v - 5*f, -5*v + 2*f = -84. Let w(x) = 7*x + x - 3*x. Calculate the lowest common multiple of w(2) and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1823, -1799, -1775, -1751, -1727?\n\"Answer: 24*c - 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-238))\/((-16)\/(-680)). Sort g, 3, -7, 1 in descending order.\nAnswer: g, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 7. Suppose -4*j + 32 = 4. Suppose 25 = -2*c + j*c. Let y be n(c). Solve 0 = 3*h + y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(11) + -2 - sqrt(539)*1) + ((sqrt(99) - (1 + sqrt(99))) + sqrt(99))*5 + (6*(0 + sqrt(99)) - sqrt(99) - sqrt(99)))**2.\nAnswer: -504*sqrt(11) + 4995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003844 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-2)\/4 - 2). Suppose f*u = 10*u - 295. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -8, 6, -1, -3, 3 in descending order.\nAnswer: 46, 6, 3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6, -x + 7 = -j + 3*x. Suppose j*p - 168 = -4*a + 1157, -2*p = -3*a - 553. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 4900\/260 - ((-39655)\/858)\/(-35).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 27. Suppose -4*n + 8 = 3*u, -4*n = n + 2*u - b. Let g(p) = -p**3 - p**2 + p + 3. Let a be g(-3). Calculate the greatest common factor of a and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1cd32?\nAnswer: 1cd32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6490826 and 444161.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -90 + -1 + 3 + 0. Let z be ((-6)\/(-4))\/((-3)\/o). Suppose -28 = 4*v - 2*j - 134, 0 = 2*v + 2*j - z. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 12, 5*p + 2*f + 1 - 4 = 0. Let r = p + 5. Let i = -4 - -4. Put -4, i, r in ascending order.\nAnswer: -4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2\/9, 3, 37\/63, -328, 1 in decreasing order.\nAnswer: 3, 1, 37\/63, 1\/4, 2\/9, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/23 - 164*y\/23 + 3362\/23 = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bepmeubmpmjpueejpubj. Give prob of picking 1 b and 1 p.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.9 - -10.3. Let m = -1.4 + v. Let l = -1 + 0.5. Which is the nearest to 4\/3? (a) l (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 - 6 = 0. Let a be l - 6*7\/(-10). Find o such that 2\/5*o**4 + 8\/5*o + 8\/5*o**5 - a*o**3 + 2\/5 - 4\/5*o**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*y**3 - 793*y**2 + 66*y - 12786853 wrt y.\nAnswer: 114*y**2 - 1586*y + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78863.\nAnswer: 17, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424539?\nAnswer: 13, 421, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 9*n - 11. Let u(t) = t**2 + 3*t - 8. Let b = -7 - -1. Let f be u(b). Let h be i(f). Is h greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4978.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 26*z + 5213. Let b(v) = 122*v + 26064. Calculate -3*b(x) + 14*y(x).\nAnswer: -2*x - 5210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 526, 1185, 2106, 3289, 4734, 6441?\nAnswer: 8410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 908 in 1, -1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.357019 less than -104462715?\nAnswer: -104462715.357019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -29435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2161*u**2 - 330*u + 998. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1328102 times 2?\nAnswer: 2656204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 30, 54, 86, 126?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x - 11*x**2 + 68*x**2 + 3*x**2.\nAnswer: 60*x**2 + 49*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 2, l: 1, x: 2, d: 1, m: 4}. What is prob of picking 2 m and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110011 + -101010111010110?\nAnswer: -101010011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -280 + 274. Sort w, 69, 6 in descending order.\nAnswer: 69, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 times -0.01?\nAnswer: 4.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.734.\nAnswer: 2.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -567344 - -567347. Let f = -0.2 + -0.8. What is the second smallest value in f, n, 1\/7, 5\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-3 - -15). Let g be c\/12 + 18\/4. Suppose d + 4*u = -d + 14, 3*d - 15 = -g*u. Is -1\/2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, 8, 2, 11881 in decreasing order.\nAnswer: 11881, 8, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 plus -226.121825?\nAnswer: -225.941825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*v + 10 + 6, 2*l - v - 4 = 0. Suppose 0 = 3*k + 5*u, 3*u = 2*u. Solve -i + 4 + k = l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1583297 and -1.9.\nAnswer: 3008264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92155 + 92161.3663. Round a to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.043 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 5*b - 2 - 8*b + (-b + 0*b + 2*b)*(1 - 2 + 2))*(4*b**2 - 4 + 4).\nAnswer: -12*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(((-18)\/(-4))\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309506653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) - (sqrt(98)*-3)**2*-6))*6.\nAnswer: -31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 2, a: 4, o: 2}. Give prob of sequence ohac.\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 9*t - 4*t**2 - t**2 + 2. Let r be s(-10). Let z = 15 + r. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 630 and -2.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let n(i) = -i**3 + 9*i**2 - 8*i - 2. Let s be n(8). Let b be (2 + s + 0)\/1. Solve u + 3*y - 2*y = -7, b = r*y + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2025, -4032, -6039, -8046, -10053?\n\"Answer: -2007*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8297694 is divided by 300.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -31. Calculate the remainder when 111 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (-3 + (-3 - -4) - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 185, 385, 625, 911, 1249, 1645, 2105?\n\"Answer: o**3 + 14*o**2 + 151*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 37 = -7. Let b = 9 - j. Let -s**b + 12*s**4 - 16*s**4 + 0*s**3 - 3*s**3 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**2 - j**3 + (-3*j**2 - 1 + 1)*(-76*j - 175*j - 265*j).\nAnswer: 1547*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.03461, 3\/179 in decreasing order.\nAnswer: 1, 3\/179, -0.03461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 1145\/6?\nAnswer: 1145\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*q = -4, -2*h - 2*q - q = 4. Solve p = h - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 258 = -0*z. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 122*j**2 - 603*j - 7. Give d(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 4) + 1 + 5. Let b(c) be the third derivative of 0 + 0*c + 1\/6*c**4 + 1\/3*c**3 + 0*c**5 - 1\/105*c**7 - 1\/30*c**p + c**2. Factor b(h).\nAnswer: -2*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 18 = 0, q + 712*o - 1196 = 708*o. What is the remainder when q is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 8*o + 2*s - 4, 0 = 2*o - s + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7\/4, 1\/4, -2 in descending order.\nAnswer: 1\/4, -7\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -e4 (base 15) in base 3?\nAnswer: -21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**7\/42 - q**6\/3 + 17*q**5\/20 - 2*q**4\/3 + 337*q. Solve w(i) = 0 for i.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/(p\/((p*p**(3\/2)*p*p)\/p)))\/(((p**(1\/2)*p)\/p*p*p)\/(p\/(p*p**(1\/7))))*(p\/(p\/p**(2\/11))*p*p*p**(3\/8))**43 assuming p is positive.\nAnswer: p**(70717\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = d + 3, -g - 5 = -d + 2*d. Let l = 12 + -19. Sort l, g, -4 in ascending order.\nAnswer: l, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 5*z**2 - 18 + 18 + 2*z**2 + z - z + 2*z**2 - 4*z**2 + z**2 + (-2*z - 3 + 3)*(-1 + 1 + 2*z) + 2*z - 2*z**2 - 2*z.\nAnswer: -10*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 20, 3*t + 0*s + 28 = -5*s. Let m be (2 + -1)*5 + t. Suppose -4*c + 40 = o - m*o, 4*c - o = 40. Solve -10 = -4*p + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1, -50229, 34\/3?\nAnswer: -50229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:01 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7794.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8401.\nAnswer: 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 12. Let l = 39 - 38.84. What is the third biggest value in -1, l, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (142\/426)\/((-56)\/21)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*z - z + 12 = 0, r - 2*z - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o + 313 - 73. Let z = 185 + -75. Calculate the highest common factor of o and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:50 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11861 is divided by 5882.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 17, 4, -35, -112?\n\"Answer: -2*o**3 + 5*o**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 + 460*o - 10580 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2775*h. Let y(o) = 12*o + 41. Give y(p(b)).\nAnswer: 33300*b + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 145012*a - 870063.\nAnswer: -(a + 6)*(a + 580042)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38168*f + 38168*f + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/10, -0.069, 51 in ascending order.\nAnswer: -0.069, 3\/10, 0.4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.399986 + 7.4. Round f to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1205868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26227 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/25)\/i*i**(-7)*(i*(i**(-1\/9)*i)\/i*i)**31 assuming i is positive.\nAnswer: i**(11357\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-14)\/x)\/(x*x\/x**7)*(x*x**0*x)**(-49) assuming x is positive.\nAnswer: x**(-106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -59822100 to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*x - 4 - 2 + 4.\nAnswer: -199*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103698 and 1488.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, -4, -2\/17, 3\/2, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23067, 184551, 622865, 1476423, 2883639, 4982927, 7912701, 11811375?\nAnswer: 16817363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 262*x - 127. Let t(o) = -522*o + 252. Let m(b) = -5*k(b) - 3*t(b). Find the first derivative of m(s) wrt s.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/5 + (-3)\/(-3). What is the nearest to 0 in 3, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 363 - -1f?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85757624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170431.\nAnswer: 131, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11664 and 648?\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13388, -26790, -40194, -53600, -67008, -80418?\n\"Answer: -s**2 - 13399*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7393 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*((sqrt(931)*-1 - sqrt(931)) + sqrt(931)))**2 + -2*3*(sqrt(76) + -4).\nAnswer: -11148 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 2. Suppose -k = k + o. Let y be (-7 + 5)\/24*0. Put y, 4, 5, k in decreasing order.\nAnswer: 5, 4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d**3 + 0 - 1\/120*d**6 - d**2 - 1\/20*d**5 - 1\/8*d**4 + 0*d. Determine g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*n + m - 2*m, 3*m = 3*n - 60. Suppose 0 = -7*u + 9*u - 72. Suppose 4 = 5*t - u. What is the smallest common multiple of n and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = 3*r + 3*m, -5*m - 12 = -2*r. Let u(p) = p**3 - 7*p**2 + 6*p - 8. What is u(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(0*s - 6*s + 4*s) - 7*s + 0*s + 2*s)*(0 + s**3 + 0 + 1).\nAnswer: -s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-24) + (-11)\/(-6). Factor w*g + 2\/3*g**2 - 2.\nAnswer: 2*(g - 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(187)*3*-1)\/(sqrt(11) + sqrt(11) + (1*sqrt(1100) - sqrt(11)) + sqrt(110)\/(sqrt(60)\/sqrt(6))).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 8. Let q be m(11). Suppose 2*d - 3*l = 25, 5*d + 5*l = l + 74. Suppose -5*g + 18 = -t, g - d = -g - q*t. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.918 - -2.99. Let p = 0.99 - l. Let i = -4.018 + p. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 109 - 77 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 7486*h**2 + 3743*h**2 + 3689*h**2 to the form t + f*h + g*h**2 and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28160 and 19690.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 6. Let i(a) = 19135*a**2. Give p(i(s)).\nAnswer: 19135*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*k + 4*g, -5*k + k - 65 = -5*g. Let p be (-24)\/k - 2\/5. Suppose 0*i + 8 = p*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*v + 59 - 54, 0 = -i - 5*v + 5. Solve -3*k - 1 + 16 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.602045 and -69.\nAnswer: 41.541105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 139.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -87511\nAnswer: 3587951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 3*u - 16. Let b be s(-7). Solve j + b = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {n: 1, w: 1, i: 1, b: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 + 6 = 0. Which is the closest to -37? (a) 0.3 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7 - 13. Suppose 0 = -v + 3*c + 2*c - 13, l*c = 12. Suppose -v*y + 25 + 19 = 0. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(675) - (-2 + 1 + sqrt(675)))**2 + (-3 + (sqrt(675) + sqrt(675) + 2)**2 - ((sqrt(675) + 1 - sqrt(675)) + 2)) + -5.\nAnswer: 450*sqrt(3) + 84369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (sqrt(180) - (-1 + sqrt(180))) + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w**2 + 16*w - 56. Let p(f) = -25*f**2 + 17*f - 55. Let i(k) = 4*p(k) - 5*t(k). What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-13 - (-7 + -1) - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -41\/2. Suppose -12954 = -3*l + 6*l. Let i = l + 34475\/8. Find the common denominator of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 + 4*l - 3. Let f(a) = a**2 - a. Give -2*f(i) - x(i).\nAnswer: -i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-4)*(-33)\/(-231).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from llqpmppppmalatpmlal?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14764.\nAnswer: 2, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z - 153 = 14*z - 34*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nntt when four letters picked without replacement from ntttntn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 3\/(-4) - (-1122)\/88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 8. Let g be f(0). What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {y: 1, s: 1, l: 2, w: 1, i: 2, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -112*o**2 - 9297*o - 33. Calculate f(-83).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p - 11. Calculate f(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 3}. What is prob of sequence rr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -2)*3\/6. Let m(x) = -4*x**3 + 2*x**2 - x - 2. Let i be m(o). Calculate the greatest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - -1*6. Suppose -10*m = -6*m - 44. Solve h + 3*h = -v - m, 4*v = 3*h - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62654 (base 7) to base 3\nAnswer: 210011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 179*p**2 + 37*p - 12. What is the tens digit of a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/231)\/((-4)\/14*1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v. Suppose 5*t - 13 - 7 = 0. Let j(o) = 8*o**2 - 21*o + 8. Let z(r) = -2*r**2 + 5*r - 2. Let n(p) = -2*j(p) - 9*z(p). Give t*i(a) - n(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 41 - 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 158. Which is the third smallest value? (a) g (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 610345.9 grams?\nAnswer: 0.6103459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002823653 to 6 decimal places.\nAnswer: 0.002824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 + 7*p - 8. Suppose -8*r = -3*m - 4*r + 29, -5*m - r + 79 = 0. Let f = m + -21. Let w(t) = -9*t**2 + 13*t - 15. Calculate f*w(d) + 11*y(d).\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/8 - 707697*n**3\/4 + 166952091423*n**2\/8 - 417353690295*n\/2 + 1043362110675\/2 = 0 for n.\nAnswer: 5, 235894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 386389513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:10 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-1\/13)*u)\/u)\/(u*u*u*u**(-9)*u))**(1\/11)*(u*u*u**0*u*u**(1\/4)*u)\/(u**1*u)**7 assuming u is positive.\nAnswer: u**(-479\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 1, x: 3, a: 5, m: 3}. What is prob of picking 2 x and 1 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 9*i**2 - 27*i - 37. Determine t(9).\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*22\/770*-10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 122\/115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 61. Let r(u) = -13 + 20 - 6 - u**2 - 1. Give y(r(v)).\nAnswer: 4*v**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/7, -3, 3\/8, 47, -35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2 + 2*y - 3. Let m be a(-6). Let l be (-3)\/8*10\/m. What is the third biggest value in 7, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {r: 2, q: 1, k: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (2 - (4 + -5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-37 + 81)) + 50 + 0 + 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 720*o - 16428. Give i(-214).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-94)\/(-18). Suppose -n*s + 48 = -2*s. Suppose 4*q + 3*c = -2*c - 12, 2*q + 5*c = -s. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkk when four letters picked without replacement from {k: 4, q: 1, x: 3, v: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53747617 divided by 1.\nAnswer: 53747617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 61, 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9 (base 12) to base 9.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 0*h**2 - 14 + 12 as f + v*h + s*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.3, -3\/2, 7, -3\/5.\nAnswer: -13, -3\/2, -3\/5, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7429311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*b + 5*q = 499*b - 480, -6*b - q = 60 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680380 is divided by 8836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, 126, 329, 588, 909?\n\"Answer: n**3 + 19*n**2 + 89*n - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(65)\/sqrt(5) + (sqrt(52)\/sqrt(36))**2.\nAnswer: -5*sqrt(13) + 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o. Let n be 12\/9*(927\/6 + 6). Suppose 0 = -6*q + n - 238. What is u(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -4, 283, -5, 2 in decreasing order.\nAnswer: 283, 27, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 1 - 70*x - 14 + x - 4 + 4 + (-1 + 6 - 4)*(x + 2*x - 2*x) + 5 - 5 + 2*x to y + d*x and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13882093777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6) - -2 - (-455)\/(-105).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103131 (base 6) in base 12?\nAnswer: 4aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 4. Calculate the smallest common multiple of 6 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/12 + 2*p. Let d(c) = -2*c - 11*c + 4*c + 7*c. Give d(u(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*y**4\/11 + 60*y**3\/11 + 2*y**2\/11 - 60*y\/11 - 16\/11 = 0. Calculate y.\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016464 is divided by 8195.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-10))\/(((-288)\/180)\/(64\/(-24))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 42*y - 16. Determine s(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 422*q**2 + 11046*q**2 + 2*q.\nAnswer: 11468*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5079 = -5*c + 8*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -0.8. Let i = -11 + 8. Let q = -2148058 - -2148058.1. Which is the nearest to q? (a) 0 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 11. Let s = -4.7 - r. Let v = s + 2.7. Sort -4, 5\/4, v.\nAnswer: -4, 5\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/476921315 and 25\/221.\nAnswer: 476921315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 123552197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 812*h**3*k**2 + h**3 + 3204*h**2*k**3 + 53361*h with respect to k.\nAnswer: 1624*h**3*k + 9612*h**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a**2*v + 1042*a**2 + 337*a*v + 9730*a + 40*v wrt v?\nAnswer: -8*a**2 + 337*a + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -0.2, 0.279?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 16*a**2 + 15*a**2 + 5*a - 4*a**3 - 1. Let l be s(-2). Calculate the greatest common divisor of l and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let y(m) = -6*m**2 - 3*m + 10. Let a(i) = -3*x(i) + y(i). Let d(q) = 14*q**2. Determine d(a(c)).\nAnswer: 504*c**4 - 1680*c**2 + 1400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 24*i - 99450 = 0. Suppose i = 7*u + 8*u. What are the prime factors of u?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 - 104*s + 497. Determine j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 306 divided by 9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054157.\nAnswer: 3, 7, 29, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111000101000110101 + -1?\nAnswer: -1000101111000101000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + 2*f**2 - 4*f - 5. What is the remainder when 6 is divided by s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31213 - -12302213?\nAnswer: 13000032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x**3 - 2*x - 3. Let h be w(-2). Let a(k) = -k**2 + 4*k + 1. Let j be a(3). Let f be (3 - 0)\/(j\/20). What is the highest common factor of f and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/4 + 4023507*x\/2 - 4023506 = 0. Calculate x.\nAnswer: 2, 8047012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/20 and 143\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:20 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/51))**10*(w*w\/w**(-2\/133)*w*w)**(-22) assuming w is positive.\nAnswer: w**(-597818\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67118.09kg?\nAnswer: 67118090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4075\/9 + 453. Let k be 2\/(-2)*-2 - 0. Solve 2\/9*v**k - 2\/9*v**3 + 2\/9*v + 0 - x*v**4 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*f + 2, 2*h + 2*f = 3*f - 17. Let k = 0 - h. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/7 - 5683220*t**2\/7 - 45465856*t\/7 - 90931776\/7 = 0.\nAnswer: -4, 2841618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or 1369\/16?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = s - 3, 0 = -s - 2*s - 4*k - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebwhshl. What is prob of picking 1 h and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16766 - 11788. List the prime factors of y.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(99\/18) - (1 - -4). Sort 0, x, 2, 7 in increasing order.\nAnswer: x, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17303460 a multiple of 2076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q**2 - 5*q. What is the tens digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - -126. Let x(i) = -j*i + 162*i - 2*i**2. Let m(o) = 55*o. Calculate x(m(k)).\nAnswer: -6050*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212116\/5091 - 3\/1697. Let x = k + 42. Sort -5, x, 3 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(7623) + -4 + 5)*-3*-6)**2 + -5.\nAnswer: -42768*sqrt(7) + 2471143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-661)\/14)\/((-1)\/(-19)). Let g = -903 - o. Let d = 354751\/90 - 19677\/5. Find the common denominator of g and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 358 - 1 - (4 + -2). Suppose 2*y - m = -3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268557*k**6 + 11*k**2 - 28*k + 5?\nAnswer: -32226840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -15*k**2\/2 - 30. Suppose 0 = 2*c + 2*c + 4. Determine v(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011802 to six dps.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/20 - c**4\/4 - c**3\/6 + c**2 + 13*c. Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 12*f**2 + 12*f + 3. List the prime factors of k(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08427 - 17.240031615.\nAnswer: -17.155761615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -905*i**2 - 13291*i**2 + 30131*i**2 + 22983*i**2 + i**2 + 2*i**2 - 2*i**2 + (-1 + 1 + 2)*(-i**2 + 5*i**2 - 3*i**2) - 2*i**2 + 4 - 4.\nAnswer: 38919*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 45, 71, 135, 255?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59290 is divided by 19738?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3*p**2 + 5098*k**3 - 34*k**2*p**2 + k*p - 4*p**2 wrt p.\nAnswer: 4*k**3*p - 68*k**2*p + k - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - h = -33, -3*h - 2 + 165 = 5*r. Suppose 15 = a + 13. Calculate the remainder when r is divided by (-33)\/a*(-12)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 11) in base 3?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490.7306 hours in days?\nAnswer: 62.113775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2418769, 4, 6 in ascending order.\nAnswer: -2418769, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -14 = 4*m - 6. Let x = -1.1 + 0.1. Which is the nearest to x? (a) -2\/11 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(5\/3)\/g))\/g)\/g*g)\/g**(26\/5) assuming g is positive.\nAnswer: g**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82032030.\nAnswer: 2, 3, 5, 23, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 24. Suppose -76 + 16 = -104*s + 92*s. Let p(g) = -5*g - 25. Give s*p(f) - 6*b(f).\nAnswer: -f + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Suppose 2*i = -g*i + 8. Let h = -102 - -112. Calculate the least common multiple of h and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 6*f - 10. Let t be y(10). Find the common denominator of -107\/54 and (-11 + 214\/t)*(-5)\/12.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - 141.5.\nAnswer: -123.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(16\/160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 8*z + 12. Calculate v(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4556 = -276*v + 280*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = c + 2*c + 372, 3*u + 4*c = 279. Suppose u*v - 264 = 82*v. Calculate the smallest common multiple of 12 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*g**2 + 136*g wrt g?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l. Let i = 108 - 93. Suppose -3 = -3*z - 2*n + 3, 5*n - i = 0. Let m(t) = 11*t**2 + z*t**2 - t**2 - 7*t**2. What is u(m(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948 - w - 948.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -313\/8. Let y be (30\/3)\/(-20)*(0 - -6). What is the second smallest value in y, 4, -5, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 = 11*t - 21450. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 272*p**4 + 2*p**3 + 558*p**4 - 64*p**2 - 285*p**4 to the form g*p + o*p**3 + b*p**4 + q + r*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 2. Let v(b) = -3*b + 1. Let w(n) = -4*q(n) - 5*v(n). What is the least common multiple of 8 and w(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3))**(-36\/5)\/(p**(-4)*p\/((p\/((((p*(p**7*p)\/p*p)\/p)\/p)\/p))\/p)*p) assuming p is positive.\nAnswer: p**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*o - 3*o - 232 + 10. Which is smaller: o or -681?\nAnswer: -681","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*g + 10 = -2*z - 138*g, -13 = 4*z - 3*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 654*l - 29645.\nAnswer: -(l + 49)*(l + 605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -2319, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/((12\/(-14))\/(-6)).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/15 + 18*d**5\/55 + 3*d**4\/22 - 4*d**3\/3 - 12*d**2\/11 - 1680*d + 1. Let x(f) = 0. Calculate f.\nAnswer: -2, -3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 16*j = 55. Let t = j + -10. Put t, -1, -7 in descending order.\nAnswer: t, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 39*w - 53. Determine r(-7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 3*w - 3377. List the prime factors of w.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77059351 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*r**3 - 1146*r**3 + 520*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 94 + (-4 + 6 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 10*i + 14. What is the units digit of l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z + 4358 = 51380. List the prime factors of z.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13351247 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -203*t**2 - 565*t + 48. What is k(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4 + 642*p**2. Let a(y) = -73*y. What is -4*a(t) - 14*b(t)?\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 123 = 15*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:03 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800.938 times 1.2?\nAnswer: 4561.1256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79.86 + 80. Let n = l + 6.76. Round n to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100111001000100?\nAnswer: 100111001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/240 + z**5\/40 - z**4\/12 - 388*z**2. Factor i(y).\nAnswer: y*(y - 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10*z**(-12\/5)*(z**(-10))**(-14\/9) assuming z is positive.\nAnswer: z**(1042\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, y: 2, h: 1}. Give prob of picking 1 h and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51096047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33299059 by 1.\nAnswer: -33299059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let r be -2*30\/12 - (-7 + 0). Calculate x(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/5 in 15\/2, -4, -2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 182\/21 + (-3)\/(-9). What is the derivative of 12 + n*w - 7*w - 14*w wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 13661194?\nAnswer: 13661196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = y - 10, -6*y - 27 = 241*o - 240*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39174890 is divided by 932735?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:15 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 150*m + 1077. What is p(157)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 18 (b) -0.369 (c) -3 (d) -5 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75594473018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11033 = -6447*h - 1225 + 1174 + 1912 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222102 - -21212?\nAnswer: -200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 188699464 to the power of 1\/2, to the nearest integer?\nAnswer: 13737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(2 + 16213*x - 15137*x - 2) + 5*x - 3*x - 5*x.\nAnswer: 1073*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 240 = 4*j. Let h(m) = -7*m + 38. Let f = -189 - -193. Calculate the remainder when j is divided by h(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23013 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)\/(1\/(-2)). Suppose 9 = 4*s - 5*b, 0*b + 5*b + 6 = s. Suppose -5*g = 3*w - 15, -3*w + 22 = 7. Sort g, a, s.\nAnswer: g, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-8)\/168). Let j be (-575)\/(-45) - 2\/(-9). Let z = m + j. What is the remainder when 52 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29520 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -9*c - 4. What is the tens digit of (c - -817)*(-3)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:46 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(432)\/sqrt(9))\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16940.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 19*m**2 + 20 - 14*m**2 - 6*m**2 - 22.\nAnswer: -20*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6434363 (base 7) in base 6?\nAnswer: -24431505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (67 - -23) + -36.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.764 take away -5?\nAnswer: 6.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.04. Let b = 2.1 + -0.06. Let h = y + b. Is h less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.2, 29623, -0.5, 771, -2?\nAnswer: 29623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9492*g**2*v*x**3 + 126*g**2*v*x - 29*g*v*x**3 - 2*g*v*x**2 - 97915*g*x**2 + v wrt g.\nAnswer: -18984*v*x**3 + 252*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 - 0.02. Let d = -4 - -3. Let w = 780 - 775. What is the nearest to d in w, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 5:05 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 417, -17, 0.3, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21211110211101 (base 3) to base 15.\nAnswer: 5734ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 8*p**3\/3 - p**2\/2 - 2*p - 320. Calculate v(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -204, -406, -608, -810, -1012?\n\"Answer: -202*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 4*u**3\/3 + 64*u**2 + 988*u - 4063. Factor n(g).\nAnswer: 4*(g + 13)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/40 - 7*s**5\/30 + 3*s**2 - 7. Find the third derivative of j(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4552430350 + -1?\nAnswer: 4552430346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -23?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -326103, -326120, -326147, -326184, -326231?\n\"Answer: -5*b**2 - 2*b - 326096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8471282*o**4*v + 121468*v wrt o.\nAnswer: -33885128*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*i + 5*i + 4*i - 1 + 9 to the form g + t*i and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 32*d + 35 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12340\/9255)\/((-4)\/432).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 850. Suppose s = -4*g + 4*s + 6, 3*g - 15 = -3*s. Suppose 0 = -2*r - 4, 0 = 5*j - 2*r - g*r - f. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 14*q + 54. Determine d(-11).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 707 - -87?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -0.3, 3, 4.\nAnswer: -0.3, -3\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 3, u: 5, m: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h + 288 - 288.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 208967\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 5789.\nAnswer: 9\/5789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78126*c**2 + 4153886*c**2 + 3218138*c**2 + 4111399*c**2.\nAnswer: 11405297*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (637 - 56*v**2 - 637)*(2 - 112*v - 24*v + v - 2) in the form d*v + g*v**2 + f + n*v**3 and give n.\nAnswer: 7560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 1.3, -6, 1\/2.\nAnswer: -6, -2, 0.3, 1\/2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t + 8 = 0. Suppose t*g - 5*g + 90 = 0. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75965594 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -20. Let l be 177\/j*(-2)\/(-6). Let k = l + 29. Which is bigger: -0.07 or k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1832316, 3664635, 5496954, 7329273, 9161592?\nAnswer: 10993911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1866810301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345 divided by -35799.\nAnswer: -1345\/35799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.26, 5, -4, 11?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 5069290*b + 10138572.\nAnswer: 2*(b + 2)*(b + 2534643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -1 + 942 + -1063?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y - 102*y + 3*h + 17 + 61 = 0, -3*h = -10*y - 221 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*h + 4, -6 = -5*h - s + 14. Let y = -1 + h. Solve w - y*w = 2*z + 1, 5 = -5*w - 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 3, j: 1, q: 1}. Give prob of sequence qwr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30193.\nAnswer: 109, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.5 - 24.50000123. What is m rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 + 3290*b**2\/11 - 144000*b\/11.\nAnswer: -2*b*(b - 1600)*(b - 45)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303203751.\nAnswer: 29, 1873, 42403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 15 - 13)*(-2*i**2 + 2*i**2 - 2*i**2) + 5*i**2 - 3*i**2 - 3*i + 0*i**2.\nAnswer: 18*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 30*x + 12. Let a(o) = 5*o. Let q(k) = 5*a(k) - b(k). Determine q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 133*s - s**2 + 5*s**3 - 133*s + 1. Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 3*f**2 + 2*f + 12. Let t be h(4). Suppose 0 = -11*o - 0*o - t*o. Let k(b) = -b**2 - b + 25. Determine k(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675818961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 9*b**3 - 116*b**2 - 26931*b + 245214 = 0.\nAnswer: -478\/9, 9, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020022022111 - -10?\nAnswer: 10020022022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.2395\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 8 - 33 - 15 + 56.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = w - 3, -2*r + 4 = -4*w - 20. Suppose 0 = 23*d + 23. Let s be -11*(-40)\/(d - w). What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179712 is divided by 321.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-76)\/(-76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2397)\/34)\/(-47)*2*(-16)\/(-6). Solve -2*j + t = 0, -4*u = -21*j + 19*j + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.4 - 175. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84407182*p**3 + 6*p**2 - 795*p - 1228?\nAnswer: 506443092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**0)**(-4\/5) assuming p is positive.\nAnswer: p**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-24))\/((-18)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2185, -2224, -2263, -2302, -2341, -2380?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*s**3 + 121*s**2 wrt s.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {t: 7, y: 1, p: 3, f: 1, e: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 - 8*d**2 - 13*d - 7. Let v be k(-5). Let w = -231 + v. Solve m + 2 = w*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 14*i**2 + 14*i + 15. Let f be v(-13). Find the third derivative of 5*u**6 - 38*u**f + 3*u**6 + 39*u**2 wrt u.\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -699 and -7493.\nAnswer: 5237607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651001?\nAnswer: 13, 50077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1017866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 5:46 PM?\nAnswer: 299","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -16. Let w(p) = 19*p**2 + 7*p + 12. Let d(m) = -15*m**2 - 7*m - 11. Let r = -450 - -455. Let x(i) = r*d(i) + 4*w(i). Give x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 2. Let f be u(2). Suppose 0*d + 20 = 4*a + 4*d, 5*a - d - 19 = f. Let v(m) = -4 + 6 - m + 1 + 2*m - 2*m. Give v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 4 = -7*x. What is the lowest common multiple of 3 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1954.918 days to seconds.\nAnswer: 168904915.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 351589 in descending order.\nAnswer: 351589, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 25*n + 36.\nAnswer: (n - 4)*(4*n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 485, 538, 593, 650, 709, 770, 833?\n\"Answer: u**2 + 50*u + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + 49. 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: What is the units digit of 2716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 1. Let m(t) = -t**2 - 2*t - 3. Let w(p) = -3*m(p) - 5*s(p). Let n be w(-5). Let v = 3 - n. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 300 = -4*j. Calculate the remainder when j is divided by ((-4)\/(-8))\/(3 + (-250)\/84).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1796.09 * 0.5\nAnswer: -898.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = p + 5, 2*x - 4*x - 4 = -p. Let f be 3\/24*18 + p. Let h be 9\/(-2) + 4\/(-8). Which is the closest to 0? (a) h (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by -33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwwwrwwwwxrrwwrxr. Give prob of sequence xr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - -36. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9\/(-36)*(-1)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -33874.\nAnswer: -4\/16937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.06. Let k = o + -0.12. Let m be 2\/3 - (-1)\/(-3). What is the nearest to k in 0.5, -2\/17, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2171, 2, -0.3, 1\/4, 25\/6 in decreasing order.\nAnswer: 25\/6, 2, 1\/4, -3\/2171, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 - 4*r + 1 + 4*r**2 - 3. Let x = -9 + 4. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1473*w + 3897. Is h(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -35*q**2 - 639*q - 760. Give p(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2175340, -4350678, -6526012, -8701342, -10876668, -13051990, -15227308?\n\"Answer: 2*a**2 - 2175344*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 2 + 23)*(-25*q + 39*q - 24*q).\nAnswer: -630*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i + 3. Let p(l) = l**2 - 4*l + 4. Let d(t) = 3*p(t) - 4*z(t). Find the second derivative of d(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 1315*j - 1138. Let r be p(147). Let o = -0.03 + 0.23. Sort r, 5, o, -2\/5 in decreasing order.\nAnswer: r, 5, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d + 41400 = 38*d. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ornnrrdaroalrar. Give prob of picking 1 r and 1 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1421 - 1431. Which is the smallest value? (a) o (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(9072) + -1*sqrt(9072)) + sqrt(9072) - sqrt(9072))\/((sqrt(9) + (sqrt(63)*1)\/sqrt(7) + sqrt(9) - sqrt(9))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 - -0.1. Let r = -5.2 - -4.87. Let d = r - 0.07. What is the third biggest value in d, 0.3, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8708)\/1555*3\/(-4)*8\/12.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32887825?\nAnswer: 5, 53, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*y - 8, 2*y - 10 + 22 = n. Which is the fifth biggest value? (a) -1\/2 (b) 0.4 (c) -26 (d) 0.01 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwmm when four letters picked without replacement from {m: 12, w: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1937 + 2 - 2 - -1. Suppose -j - p = j. Is ((-4)\/(-4))\/((-3)\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f + 1. Let u(s) = -34*s + 1. Let q(r) = 8*a(r) - 5*u(r). Let m be q(2). Let i = 51 + m. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.425 and 11?\nAnswer: -114.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**8\/2240 + c**7\/840 + c**6\/48 + 3*c**5\/40 + 53*c**4\/4 + 124*c. Let d(m) be the third derivative of s(m). Factor d(k).\nAnswer: -3*(k - 3)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -4. Is 104\/i - (-6)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.5. Which is the nearest to 1? (a) q (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrji when four letters picked without replacement from jdqvddqdddvdddvqrdid?\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 415940102 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1183 and 130722683.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 11. Let j(f) = -4*f + 22. Let v be ((-132)\/(-11) + 14)\/((-4)\/2). Calculate v*u(y) - 6*j(y).\nAnswer: -2*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 + 1706\/7. What is the biggest value in n, -20, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 15*i - 48. Let c be v(6). Solve -j - 5 = 4*g, -5*j + c*g - g = -25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let l(q) = 34*q. Let r(b) = 203*b. Let x(p) = -29*l(p) + 5*r(p). Give i(x(u)).\nAnswer: -841*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -127\/2. Which is the second biggest value? (a) -2\/13 (b) -2\/19 (c) 0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298315719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01545 rounded to 4 dps?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.02 + -0.02. Let v = -0.402 + 0.102. Which is the second biggest value? (a) v (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*j**2 + 56*j**2 - 23*j**2 - 26*j**2 as n + d*j + l*j**2 and give l.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-7\/5)\/(m*(m*m**(2\/9)*m)\/m*m*m*m**(-2)) assuming m is positive.\nAnswer: m**(-163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Suppose -c = 2*r - 195. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000641 rounded to six decimal places?\nAnswer: 0.000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53238253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 - 129*k**4 + 1083*k**3 - 507*k**2 - 11130*k - 9408 = 0. Calculate k.\nAnswer: -2, -1, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2440255 and -41791?\nAnswer: 2398464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 30 = m + 15*u, -4*m - 10*m + 0*m + 17*m + 3*u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1754, -2, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 175\/2574 and 133\/1170?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 + (-24)\/(-10). Suppose -3*h - 5*q + 4 - 2 = 0, -b*q = -2*h + 12. Suppose -2*l - h = -6*l. Solve -l = -z - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -1\/2 (b) 31 (c) 5 (d) 0.02 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-3*k**2 - 2*k**2 + 3*k**2)*(-993 - 483*k - 966 + 1958).\nAnswer: 1932*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/72 + 4)*(-11)\/209?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000010000100000 (base 2) in base 13?\nAnswer: 10a5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 20*t**2 - 7*t + 6. Let w be p(5). Suppose -4*l + 4*j = 8, -5*l + 7*j - 6*j + 18 = 0. Suppose -l*a - 61 + w = 0. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -4*t - 160. List the prime factors of (-11)\/((-4)\/t*1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3*t**4\/2 + 5*t**3\/3 + t**2 - 3*t - 54. Let g(o) = 7*o**3 - 6*o**2 - 2*o + 4. Give 5*g(p) + 6*x(p).\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -1, 1.3, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let g be -1 - 3\/(-1 + 0). Let i be l(g). What is the first derivative of i*p + 3*p**4 + 2 - 11*p + 8*p wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*a**6 + 3*a**4 + 28431*a**3 - 427*a**2 - 11016*a - 5?\nAnswer: -3360*a**3 + 72*a + 170586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*m + 100*m - 49*m as f*m + i and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*g = -320, -4*q - g = -2*q - 154. Calculate the greatest common factor of q and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.01 - 8. Let b = m + -0.21. Let s = -0.02 - -0.02. Sort -5, b, s in increasing order.\nAnswer: -5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 - 30?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-21\/8)*(g\/((g*g*g**7*g)\/g)*g)\/(g**0\/g)*(g**(-1\/4)\/(g\/(g\/g**(-1\/8))))\/(g*g**4*g**5*g) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + g - 19 = 0, y - 11 + 1 = -g. Let p be (y - 0)*(-1 + 2). Let f be 0 + (33\/2)\/(p\/18). Calculate the greatest common factor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 31375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 43 = -3*x - x, 0 = -2*x + 3*j + 29 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*x + 315 - 315.\nAnswer: -554*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 - 7*q**4\/12 + 20*q**3\/3 - 31*q**2. What is the remainder when 79 is divided by r(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -43. Let i(r) = -r - 1. Let s be i(-3). Let w(z) = 1 - 4 + z + 4 - s*z. Let b(t) = -4*t. Calculate n*b(p) - 3*w(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54755 divided by -3.\nAnswer: 54755\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 4*x**3 - 11254*x - 27396 + 27396.\nAnswer: 4*x**3 - x**2 - 11254*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-34)*f**(1\/8)\/(f**(-1)*f))\/(((f*(f**(2\/3)*f)\/f)\/f**(2\/5))\/((f*((f**(-1\/6)*f)\/f)\/f)\/((f*f\/((f*f**(-2\/5))\/f))\/f))) assuming f is positive.\nAnswer: f**(751\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from sthjtzl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from dhhdnnnnhdd?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*n**4*u + 29*n**4 + n**3*u**2 - 2*n**2*u**2 + 1039*n*u**2 - 2*n*u - 2 wrt n?\nAnswer: 3408*n*u + 696*n + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -0*j. Suppose -j = -i + 2. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 80*j = -6*g + 82*j - 55, 131 = -14*g + j for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 66437 in ascending order.\nAnswer: -5, 12, 66437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 31*d - 1438 + 11*d.\nAnswer: d - 1438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l + 2*l. Suppose 0 = 4*h - l*i + 4 - 2, -2*h - 5 = -5*i. Sort h, 4\/3, 0.01.\nAnswer: h, 0.01, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 27 + 5*q - 8*q + 27. Let p(l) = -6*l + 2. Calculate the least common multiple of p(-2) and b(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 9) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -6949?\nAnswer: -6954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -8. Let p(a) be the first derivative of a**3\/3 - 7*a**2\/2 + 5*a + 13. List the prime factors of p(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -278\nAnswer: 15846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1 - 290*q - q**2 + 91*q + 107*q + 92*q + q**3. Let o be 2\/(-9) - 160\/(-72). Let k(g) = -4*g**3 + 4*g**2 - g - 2. Give o*h(c) + k(c).\nAnswer: -2*c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x + 3. Let i be (3 - 3)\/(x\/(-1)). Suppose -2*r + 3 + 5 = 4*h, h + 2*r - 8 = i. Solve -2*p + h*p - 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.46762 centuries in years?\nAnswer: 9446.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 - (-2)\/(-1)). Let g be (-1)\/2*-2*-1. Does 14 divide g\/(-2)*(k - -62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u - 5 = 44*u - 98*u + p, -2*p = -4*u - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*t = -101*t + 4. Let r = 102\/763 + 1\/109. Does t = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 + 5 = 0. Let q = -2 + 1. Sort r, -6\/5, q.\nAnswer: -6\/5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in 19, -503, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 1, d: 2, v: 1, o: 1}. Give prob of sequence er.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40208 rounded to two decimal places?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -2 + sqrt(7))*-3 - ((sqrt(847)*2 + sqrt(847) - sqrt(847)) + sqrt(7) + -3)*-2)**2 + -4.\nAnswer: -1470*sqrt(7) + 17028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/44)\/((-2)\/376). Let o = v + -1244\/143. Put o, -2, 5 in ascending order.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let g = 2 - 4. Let h = p + g. What is the closest to 2\/7 in 3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (5 - 1) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/1200*3*-18)\/(3\/(-4))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + c**2 + c - 2. Determine l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**4 + 472*g**3\/3 + 4894*g**2\/3 - 472*g\/3 - 4879\/3 = 0.\nAnswer: -41\/5, -1, 1, 119\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92341276 to the power of 1\/2, to the nearest integer?\nAnswer: 9609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 less than -7.181?\nAnswer: -694.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:28 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1561\/(-669))\/((-1)\/3)*(-11)\/(-1)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 2 = -14. Let k(h) = h**3 - 2*h**2 - h - 2. What is k(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2) + (-30)\/21. Which is the nearest to -2? (a) -1 (b) 4\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -84*d - 3552. Suppose -3*i + 117 + 6 = 0. Calculate the remainder when i is divided by 2\/(((-8)\/22)\/(d\/176)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -2*w**6 - 8*w**3\/3 - 4. What is the third derivative of k(o) wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5232465 divided by -735\nAnswer: -7119","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u - 1. Let j(x) = -8*x**3 - 5*x**2 + 7*x + 12. Let n(r) = -16*r**3 - 11*r**2 + 15*r + 26. Let i(z) = 13*j(z) - 6*n(z). Calculate i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 40, 36, 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2\/9 (b) -136 (c) 0.4 (d) -2154 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t - 2 + 4 - 2 in the form f + v*t and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.30403 - -0.09597. Let i = -1810.206 + 1801. Let l = k + i. Round l to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407308295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37131 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let f be 0 + (1 + -2)\/(-1). Let u = -5 + f. What is the units digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = n - 9, 0*k = -3*n + 2*k + 10. Suppose n*d - 3*f - 575 = 0, -3*d + 3*f + 433 = -f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 29. Let s(f) = -3 - 6*f**2 + f**3 - 5 + 4*f + g + 1. Give s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14*l = 0. Suppose l*k - 22 = -k - 5*d, -3*k + d + 2 = 0. Solve -m + 1 + 4 = 4*g, -k*g = -m - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + 3.114. What is h rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/5 - 88*h\/5 - 1936\/5 = 0 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(684)*-2 - 1*(5 + sqrt(1539)*-1)**2.\nAnswer: -1560 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6432 and 394496.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 852606, 1705890, 2559174?\nAnswer: 3412458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26120745 + -4?\nAnswer: -26120750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -367, -87, 1, 10 in increasing order.\nAnswer: -367, -87, -2, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 23*v + 3 - 18*v - 39*v. Let l = -10 + 4. Let r be o(l). Calculate the highest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*n - 124, -244*p - n = -258*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -273.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19019527 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 20\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8461052.\nAnswer: 2, 89, 23767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and (-14 - -5)\/(3\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 65670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21838.\nAnswer: 2, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*p**2 + 61*p**3 + 3 - 63*p**3 - p + 18*p**2 as o*p**3 + s*p + r + d*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10974 and 4252332.\nAnswer: 250887588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23637328*k**4 + 4*k - 579128 wrt k?\nAnswer: -283647936*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -0.2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/2 - -27\/4. Let a(g) = -2*g**3 + 3*g**2 - g + 2. Let j be a(2). What is the biggest value in -4\/3, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 18*a**2 + 17*a. Suppose 4*m - 140 = 2*u, 4*m - 120*u - 146 = -115*u. Let i(k) = 3*k**2 + 3*k. What is m*i(r) - 6*p(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 40 + 32 = 0. Which is greater: r or 9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 0, -1, -4 in increasing order.\nAnswer: -4, -1, 0, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + z + 2. Let g be (-5 + 4)*0\/(-2). Let w be s(g). Is w\/(-12) - 127\/(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -310033230?\nAnswer: -310033220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 704*i - 704*i + 11 - i**2 to q*i**2 + x + t*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:14 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -570512*b**4 + b**2 + 62919613 wrt b?\nAnswer: -2282048*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -140. Suppose -2836 + 794 = -a*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*f + 999*f + 11 = 0. Let c be (0\/(-1 - 1))\/(-1). Let x be f + -1*(c + -3). Solve -4*i + 2 = -5*b - x, 4*b = -3*i - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/350*(-3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 268, -473, -1718, -3479, -5768?\n\"Answer: -2*i**3 - 240*i**2 - 7*i + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 8, -5*a + f = 184 - 211 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 4*l**2 - l + (-3 + 3 - 4*l)*(3*l - 2 + 2) as y*l + a + i*l**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9433911*b**3 - 2736429 wrt b?\nAnswer: -28301733*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/3*(-741)\/(-494)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -47, -113, -209, -335, -491?\n\"Answer: -15*b**2 + 9*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -55. Let i = 45 + f. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4300201, 8600422, 12900643, 17200864, 21501085?\n\"Answer: 4300221*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 12. Let b(o) = 4*o**2. Let p(m) = m**2. Let k(r) = -2*b(r) + 7*p(r). What is k(i(y))?\nAnswer: -y**2 + 24*y - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -92496*f - 1294940. What is w(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -633*g + 4013. Determine x(7).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 57*h + 246. Let j be g(7). Let n = 6.1 - 6. Sort n, -0.4, -1\/8, j in decreasing order.\nAnswer: n, -1\/8, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 51*h**2\/2 + 68*h + 15. List the prime factors of p(13).\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -45.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 70*a**4 + 765*a**3 - 5950*a**2 + 8360*a = 0. What is a?\nAnswer: -11, 0, 2, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018679 to the power of 1\/2, to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11581, 23163, 34745?\nAnswer: 46327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890192847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**3 + m + 2. Let k(t) = -t**3 + t - 1. Suppose 7*c = -2*f + 13, 0 = 5*c - 4*c - 3*f + 8. What is c*k(i) + a(i)?\nAnswer: 10*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -2\/3*h**3 + 68 + 1\/2*h**2 - h. What is k(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1181 (b) 0.2 (c) 5 (d) 20 (e) -61 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 6 = -2*g, 2*g = -19*k + 22*k + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 6 = -2*b, -2*m - 2 + 5 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154997, 154996, 154995, 154994, 154993, 154992?\nAnswer: 154991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) 5 (c) -0.3 (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = -s - 41*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q**4 - 160221*q**3 + 704751*q**2 - 736731*q + 192186 = 0.\nAnswer: 2\/5, 1, 3, 10677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/(2\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20958.\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6553006 plus -1348?\nAnswer: 6551658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 86271014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50241 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90237 - -7580011\/84. What is the common denominator of 102\/(-68) + 2 + (-11)\/5 and n?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, -4\/5, 90, 2, -2\/19?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 50866*b + 50860*b - 101727*b + 4. Give a(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/6 - 34543*w**2\/3 + 5038021*w\/6 - 828156.\nAnswer: (w - 69013)*(w - 72)*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, f: 2}. Give prob of picking 1 f and 1 o.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/(-504) - 6\/(-27). Let r = 12 + -18. Let j = r - -4. Which is the closest to -0.1? (a) -1 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 20*j + 19. Let r be z(20). Suppose 0 = -3*o - i + r, 0*o + i - 26 = -4*o. Solve 5*s = o + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 7*a + 4. Let h be v(5). Suppose 0*c = -4*c + 5*y - 1184, -3*y + 1467 = -5*c. Is (c\/h)\/(3 + 29\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**2 - 9 + 2\/3*r**3 + 0*r. Let t(x) be the first derivative of 33*x**2\/2 + 65. Calculate o(t(d)).\nAnswer: 2178*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-342))\/(3\/6)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6357*n + 266 = 6338*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8845, 8847, 8849?\nAnswer: 8851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-186)\/18. Let o = -5 + a. Calculate the least common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*((-848)\/1824 + 7\/21)*28?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 35264*r**3 - 103617384*r**2 - 101441395424*r + 101545048076.\nAnswer: -4*(r - 1)*(r + 2939)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73285 + 4?\nAnswer: -73281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-26) + (-6878)\/(-247). Suppose 74*h - u = 78*h. Let t(b) = 7*b**2 - 2*b - 2. Let r(x) = 13*x**2 - 3*x - 4. Give h*t(w) + 4*r(w).\nAnswer: 3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i + 0*i)*(-202*i - 155*i + 113*i + 1)*(-8 + 10 + 3) in the form x*i**2 + s + r*i and give x.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -1\/9, 3, 0.1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(x**3 - 4*x**3 + x**3)*(3 + 2*x - 3)*(-x + 5*x - x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = 2*a, -5*a - 5*c - 45 = 20. Does 11 divide ((-1414)\/2)\/(a\/(-3 + 18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-d - 1 + 1) + 119*d + 22*d - 16*d.\nAnswer: 122*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + 3*d**2 - 1. Let y(c) = -19 + 10 + c + 9. Let z(g) = k(g) - 5*y(g). Find the second derivative of z(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93811663 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1558.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**3 - 4*g**2 + 9*g - 7. Let a = -360 - -356. Is 15 a factor of q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -24273665?\nAnswer: 24273656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-28 + 2)*6\/26*10660\/1230.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 658.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82 or -325497?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 17. Let q(j) = 12*j**2 - 68*j + 19. Let h(p) = p**2 - 4*p. Let m(k) = 6*h(k) - q(k). Let w be m(7). Calculate g(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 8:53 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(8\/12) + 1505545315\/24. Let a = w - 62744540. Let u = a + 13487. What is the common denominator of -107\/30 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14785709 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 245. Determine r, given that -5*r**4 - 9*r - 3*r**4 + 3*r**4 + 3*r**2 - f + 8*r**4 + 9*r**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-9))\/((-17)\/(-153)). Let f(j) = -8*j + 9*j - j - 15*j**l. Let x(t) = 5*t**2. Calculate f(x(d)).\nAnswer: -375*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -150, -347, -624, -981, -1418, -1935?\n\"Answer: -40*g**2 + 3*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2174 and -0.67?\nAnswer: 1456.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 46*s**2 + 479*s + 45. Calculate u(-54).\nAnswer: -2493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11192311 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(75)*1.\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 113\/42440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {i: 2, t: 1, s: 4, z: 2, j: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {w: 1, u: 4, e: 1, j: 1, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/((1\/(-1))\/2). Calculate the remainder when 35 is divided by x\/7 + 8\/56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*t**3 - 182*t**3 + 249*t**3.\nAnswer: 445*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 26*h - 29*h. Let d(k) = 12*k**h + 3*k**2 + 8*k**2. Let u(l) = -2*l - 4. Let n(y) = 2. Let i(g) = 2*n(g) + u(g). Calculate i(d(x)).\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 8 - 2 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/17012943 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, f: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241186.933 to the nearest 1000.\nAnswer: 1241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*j + 12. Calculate the remainder when j is divided by ((-160)\/30)\/(2\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -29 + 2 + (44 - 31) + 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/5644 and 133\/39039216.\nAnswer: 663666672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-8))\/(1*(-21)\/14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 371889 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/164 and -109\/169116?\nAnswer: 6933756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 + 11*l. Let v(j) = 5*j**2 + 11*j. Let d(h) = 5*a(h) - 6*v(h). Find the second derivative of d(b) wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + (-134)\/8. Suppose -2*a - 21 = -15. Which is greater: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/25 (b) 67 (c) -664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/100)\/(18\/45)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from bbsnunb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-75)*180\/(-72))\/((-1)\/5). Let u = -47.56 + 0.56. What is the fourth biggest value in -3, a, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 0*k**2 - k**2)*(-1 + 4 - 2) + (-18*k + k + 5*k)*(-2*k - k + 4*k) to p*k**2 + d + l*k and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0925006? (a) 2\/15 (b) 1.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -3843, -12964, -30727, -60012, -103699, -164668, -245799?\nAnswer: -349972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394510806 is divided by 319?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 10*a**2 - 3*a**2 - a - 2*a**2 + 5. Determine b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -157685 divided by -235\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, 396, 1720, 4340, 8664, 15100, 24056, 35940?\n\"Answer: 68*x**3 + 36*x**2 - 148*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4\/3)\/s*s)\/s*s*s*s**(2\/17)*(s\/(s\/(s**0*s)))\/(s**4\/s) assuming s is positive.\nAnswer: s**(-62\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4)*2*0. Sort -1, i, 28 in increasing order.\nAnswer: -1, i, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2128.7 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -1 (c) 4 (d) 5 (e) -2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -121\/2. Which is the closest to -1? (a) q (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 + -110 + (-11 - 1) - 38\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - c - 4*c)*(0*c**2 + c**2 + 0*c**2) - c**3 - 4*c**3 + 3*c**3 + 2*c**3 + 0*c**3 - 4*c**3 + 5*c**3 + c**3 - 4*c**3 + 13*c - 3*c**3 - 13*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -5*(sqrt(102)*2 + sqrt(102)) - sqrt(102))\/(2*sqrt(54)) + 4 + ((sqrt(204)\/(sqrt(48)\/sqrt(4)))**2 - 2*sqrt(1377)) + -1.\nAnswer: -41*sqrt(17)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) 4 (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 13*a - 25*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032142173 to 5 dps.\nAnswer: 0.03214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 243.8497ms?\nAnswer: 0.2438497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*-25242.8\nAnswer: 151456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v = 32. Suppose a - v = -a. Suppose -63 = -4*j + 3*g, -2*j + 3*g - 27 = -a*j. What is the remainder when 29 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 17*n + 42 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678680123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 8. Let l be f(-4). Let d(n) = -52*n - 2. Let z be d(l). Let m = z - 139. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -17.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2435777*a**4 - 3*a - 29076302.\nAnswer: 9743108*a**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18163*s**3 + 17*s**2 + 2*s + 35 wrt s.\nAnswer: 108978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 715\/2*b**2 + 125\/6*b**3 + 294 - 1690*b + 5\/16*b**4. Let o(z) = 0. Calculate z.\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*2\/4*-6. Suppose 4*c - h = -1. Suppose c*a - 6 - 1 = -3*f, -f - 3*a = -7. Solve p = -f - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*k - 54238*k**3 + k**2 + 3*k + 54239*k**3 as h*k**2 + i + b*k + p*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/15 - (-5)\/(25\/1698). Let t = h + -5761\/17. Which is the second smallest value? (a) -0.3 (b) 14 (c) t (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 15*a = 0. Let t = a - -2. Solve p = -2*l - t, -3*l + 2*l = 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40953 or -40952?\nAnswer: -40953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3 + 3746*a**2 + 2081664*a + 256367592 = 0?\nAnswer: -234, 2341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*n - 16, n = 5*k + 2*n + 14. Let r be (k*1)\/(-3*10\/45). Solve 3*c - 3*m = 12, 5*c + 4*m + 22 = r*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2112)*1)\/sqrt(11) - (2 + sqrt(147))**2*-1).\nAnswer: -604 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4692 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 630653887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -402 + 134 + 139 + 2*n**2 + 129. Let l(y) = 3350*y. What is l(z(f))?\nAnswer: 6700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r*r)\/r*r\/r**(-8))**(-2\/5) assuming r is positive.\nAnswer: r**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 43*a**2 + a + 3. Let d(v) = -10*v**3 - 129*v**2 + 2*v + 8. Determine 3*d(x) - 8*s(x).\nAnswer: 2*x**3 - 43*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 6457090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 2. Let p be w(-4). Let n = -15 - p. Let x = -6 - n. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 + k - 4. Let n be t(-4). Let c be ((-66)\/8)\/(6\/n). Let y be (33\/9)\/(c\/33). Are 9 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 16*(-1)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/6 - 2*y**2. Suppose 41 = 2*s - 111. Let d(v) = -76*v + s*v - v**2. Give r(d(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -385 + -1?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 1. Let b = 36 - 38. Let m(x) = 3*x**2 - 13*x + 8. Let h(j) = -j**2 + j - 1. Let r(a) = -6*h(a) - m(a). Calculate b*r(f) + 5*i(f).\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*p**3 - 19*k**2*p - 1123069*k*p**3 + 96*p - 770 wrt p.\nAnswer: -6*k**2*p - 6738414*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.9 take away 0.6?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26095, -105230, -237409, -422632?\n\"Answer: -26522*p**2 + 431*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4379 - -437131591.\nAnswer: 437131590.5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 1, h: 2, q: 1, i: 1}. Give prob of sequence rrqh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2918 + 7024. Suppose -f + u = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1146852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/21 + 148375616*n\/21 - 2751915427922432\/21.\nAnswer: -2*(n - 37093904)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*10\/5)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-219)\/(-146))\/(1\/50) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.231 + 67.769. Let d = -65 + u. What is the third smallest value in -2, 0.21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/13 + 64*d**2\/13 + 210*d\/13 = 0.\nAnswer: -3, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -217*r**2 - 139*r + 6. Let p(x) = -216*x**2 - 140*x + 7. Let o = 672 - 666. Let a(b) = o*p(b) - 7*v(b). What is the second derivative of a(g) wrt g?\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51323\/42 - 1222. What is the third biggest value in a, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 14) in base 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scss when four letters picked without replacement from {s: 12, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-45)*10\/25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 26, 49, 94, 167?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21318144 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(1\/(20\/6)). Suppose -3*h - 6*j = -j - a, h = -5*j + 40. Suppose -4*n + 5*b = 12 + 1, 5*n + 3*b - h = 0. Solve 0 = -0*y - n*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x)**(-3\/7)\/(((x\/(x\/x**(-9)))\/x)\/x)**(3\/7) assuming x is positive.\nAnswer: x**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by 12?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23284453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87037*u**4 + 2*u**2 + 11655?\nAnswer: -2088888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g - 2*g + (-2 - 2 + 3)*(0*g - 4*g + 5*g) - 3*g - 3 + 3 + 2 - 2 + 2*g + 2 - 2 - 3*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654575 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 5\/3, 29, -2\/5, 7.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/3463200 and -12\/17575.\nAnswer: 65800800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1159306*m**2 - 6*m - 98308?\nAnswer: 2318612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:50 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 10) in base 6?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*t - 941 + 908, -2*t = 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 578 and 867?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/367 or 48276?\nAnswer: 48276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 1, -602875, -4, 0, 3 in ascending order.\nAnswer: -602875, -4, -1, 0, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6805*r + 891. Let b(z) = 756*z + 99. Let a(i) = 19*b(i) - 2*t(i). Differentiate a(o) with respect to o.\nAnswer: 754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-420)*10*(-36)\/(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/23893782 and -73\/4344324.\nAnswer: 47787564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168372\/(-18)*(-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1358568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0 - 53*t**3 + 3\/4*t**5 - 79*t**4 + 0*t + 0*t**2 = 0.\nAnswer: -2\/3, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592399793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 150. What is the remainder when p is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(135)*-2)\/(sqrt(27)\/(sqrt(3) + sqrt(12)\/sqrt(4))))\/(2*sqrt(75) + (sqrt(6) + sqrt(96))\/sqrt(2)))**2*-5.\nAnswer: -64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + sqrt(243) + 2*(-1 + sqrt(243)) + sqrt(243) + 2)*1)**2 + -1.\nAnswer: 504*sqrt(3) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 19*(-10)\/(-1615) - 1677\/(-51)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 408394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 16*f**2 - 284*f + 264.\nAnswer: 4*(f - 6)*(f - 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/3 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 121370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 3, -3*z - 15517 = -2*o. Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-36))\/((-1)\/(-16)). Calculate the highest common divisor of c and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15254 - -10?\nAnswer: 15264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 1, f: 6, c: 8}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - -18 - 53)\/(4\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhd when three letters picked without replacement from ddeedzqqhdedq?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y - 5. Let q be s(5). Let f = 23 - q. Does 3 divide 2\/(1 - 15\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 0*c + c - 3*c**4 + 0*c**2 - c**4 + 0*c**2 + (-2*c**2 - 3*c**2 + 6*c**2)*(2*c**2 + 2 - 2).\nAnswer: -2*c**4 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*v - 20, 6*l - 16 = -5*v + 5*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**5 - 12*d**4 - 32*d**3 - 9*d**2 + 13*d - 6. Let t(l) = 2*l**5 - 11*l**4 - 32*l**3 - 8*l**2 + 12*l - 8. Let q(f) = -4*n(f) + 3*t(f). Factor q(g).\nAnswer: g*(g + 2)**2*(g + 4)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*f + 4 = 0, 4*f = -2*k + 5*k - 41. Let n = -9 + k. What is the units digit of n - (3 - 39)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18 and (-1)\/1 + (-371)\/21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3221821 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2144745338709.04895011 + -2144745358234. Let n = 19552.95105 + v. Let z = 28 - n. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 15*d - 4. Let n be w(14). Let v = 2 + 8. What is the highest common factor of v and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (452\/3)\/(26860\/20145)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1358131 by -3.\nAnswer: 1358131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28384 = -1110*u + 3330 + 4916 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41211405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 - g**3 + g**2 - g. Let l be t(6). What is the third derivative of -3*f**5 + 2*f**5 + f**2 + 0*f**l wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 5 + -3)*6. Let x be ((-56)\/i)\/((-6)\/(-9)). What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) + (-18)\/(-20). Is -7\/3 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 5. Let g be n(-3). Let h = -14 - g. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -7.07. Let t = -7 - j. Let o = 1\/103 + 304\/515. Which is the second smallest value? (a) o (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 3460*h + 371497. What is f(-115)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4160346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 - -260. Let w be 6\/9 - 40\/m. Let n = 4719 + -42469\/9. Which is the third biggest value? (a) -1 (b) w (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2123*b + 66*b + 73*b**2 + 21*b**2.\nAnswer: 94*b**2 - 2057*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -11665. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 2*q**5 + 2*q**5 + (-q**3 - 4*q**3 + 6*q**3)*(4*q**2 + 2 - 2).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160379 is divided by 1212.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 63 (b) 33 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/9 + 24854*w**4\/9 - 99394*w**3\/9 + 124234*w**2\/9 - 16564*w\/3 = 0.\nAnswer: 0, 1, 2, 12423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-5 + (sqrt(28) + -1)**2 + 1.\nAnswer: -44*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*y - 22*y. Sort 1, y, 14, 4.\nAnswer: y, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2230 and 107390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2082665 and 83235?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 125. Suppose j - 2*i + 7 = w, 2*i + 169 = 3*j. Let q(t) = t**2 + 30*t - 61. Let d be q(-33). What is the greatest common factor of d and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 3217065.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37089887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 44 - 18 + 17 + 1113*q - 1107*q to d*q**2 + b + u*q and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/5*3)\/((-12)\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 517 - 501. Suppose -40*r = -j*r - 3960. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Let q(t) = 2 + 1 - 10*t - l. Let d(b) = b**2 + 2*b - 2. Let a(i) = -2*i**2 - 3*i + 3. Let f(n) = 2*a(n) + 3*d(n). Calculate q(f(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -298692, -298263, -297846, -297447, -297072, -296727?\n\"Answer: -c**3 + 436*c - 299127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**3 + 6827*k - 1704*k - 1708*k - 1707*k - 1708*k.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11310235 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887618 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11744*g + 11740*g - z + 15, -12 = -g - 3*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = 3*m - 0, 2*o - 2*m + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 2 = -9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*l + 32, -235*l + 583 + 341 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {o: 2, g: 1, q: 1, e: 1, w: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*h - 63*h + 3*j - 116967, j - 77978 = -2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4002\/243749 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/107826 and 97\/898550.\nAnswer: 2695650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8170 at most as big as -8159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/18 - 89*(-3)\/6. Does 4 divide (-104)\/((-3)\/v*-5*-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*f - 184 = 0, f = 3*o - 2*f - 492. Let r = o + -63. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/((-72)\/(-45))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 30. Let n = 41 - c. Let d = -9 + n. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 - 2. Calculate l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -14*y + 8*y - 28, -3*b - 6 = 3*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12128.10534 - 12128. Round s to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72709 is divided by 36337?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {t: 3, c: 3, v: 4, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 30 + 30)*(1 - 4 + 2 - i)*(-3 + 2 + 3).\nAnswer: 12*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 5 + (17 - 22 - -18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475362, -475353, -475342, -475323, -475290, -475237?\nAnswer: -475158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 + 5 + 3 - 5*p**2. Let k be n(-6). Calculate the remainder when (-4)\/6 + k\/(-6) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 1.4. Let l = -0.2 - o. What is the nearest to 1 in l, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 203127*i**2 + 183000 with respect to i.\nAnswer: 406254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020084 to 7 decimal places.\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -635 + 638 + t**2 - 4*t + 0*t**2. Let l be h(4). Solve 2*w + l*w = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2975548, 2975541, 2975520, 2975479, 2975412, 2975313, 2975176?\nAnswer: 2974995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 18, 5, -15 in descending order.\nAnswer: 67, 18, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 219 (c) -4034 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -10, 181, -29 in decreasing order.\nAnswer: 181, 5, -1, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 7733044?\nAnswer: 7733044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13466491, 26932976, 40399459, 53865940, 67332419?\nAnswer: 80798896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 59423.08254 to the nearest 100.\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0*a**2 + 4*a**2 - 3*a**2 - a. Is b(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*s + 0)*(-1 - 3 - 1).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -51*f**2 + 69*f + 21. Let i(x) = -5*x**2 + 7*x + 2. Let b(y) = -21*i(y) + 2*l(y). Solve b(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866670638.\nAnswer: 2, 433335319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17308\/5 - -3462. Which is the third biggest value? (a) -1\/21 (b) y (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -978 (c) -0.2 (d) 40390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 140\/56*(-8)\/(-70)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211*s**3*t**2*x + 43923*s**3 - 2*s**2*t**2 + 275*t**2*x wrt x.\nAnswer: 211*s**3*t**2 + 275*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.025586 - -429.035586. Let a = -430 + z. Round a to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499665 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-12) + (60\/16 - 3). Let l = 16 + -16. Solve 3*q + 9 = k - l*k, 4*q + 8 = t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9922, 9920, 9918, 9916, 9914?\nAnswer: 9912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -4 + 30 - 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103852?\nAnswer: 2, 1525963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:01 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -262*f. Let k(c) be the third derivative of 13*c**4\/24 - 22*c**2 + 11*c. Determine k(z(n)).\nAnswer: -3406*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116 - 168*z**2 + 94 + 107 wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -218*m**3 - 64*m**2 - 3. Let i(l) = 219*l**3 + 64*l**2 + 4. Let d(b) = 4*h(b) + 3*i(b). What is the third derivative of d(j) wrt j?\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1967*a - 1976*a + 3939*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 + 1068. Suppose 190 - g = -5*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose 2*b + 0*b - 2*l = 10, 0 = -a*b - 2*l + 8. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -51*a**2 + 62*a - 21. Let q(i) = 26*i**2 - 31*i + 12. What is 4*n(c) + 7*q(c)?\nAnswer: -22*c**2 + 31*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14930 is divided by 145.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a32b9c (base 14) to base 6\nAnswer: 313524502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 1498 = -4882. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167074995 divided by 33414999?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/3080)\/(8\/66).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 2 - 6*h - 3 + 1. Let v(p) = p + 2*p - 4*p. Determine -s(w) + 5*v(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6*q**5\/17 + 122*q**4\/17 - 138*q**3\/17 - 274*q**2\/17 + 144*q\/17 + 152\/17 = 0.\nAnswer: -1, -2\/3, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggwi when four letters picked without replacement from {w: 7, i: 1, b: 2, c: 2, g: 7}.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -400, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:28 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 165941*v. Let l(c) = -c**2. Determine l(u(j)).\nAnswer: -27536415481*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 332641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/9)\/5*-3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 26. Let c = j - -43.000046. What is c rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*z - 1045 - 327. Solve -56 - z = -21*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489 by -113.\nAnswer: -489\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3\/2 - 4371*b**2\/2 + 1292763*b\/2 + 1297131\/2 = 0.\nAnswer: -1709, -1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.86 to one decimal place.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3b59d (base 14) to base 2\nAnswer: -100011110001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 19*z**2 - 5*z - 89. Let f be t(-19). Sort 3, 2\/37, f, -1.\nAnswer: -1, 2\/37, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.58 - 47. Let k = 1.12 - y. Round k to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l - 20 = l, 41 = 5*t + 4*l. Let m(z) = -z**3 + 7*z**2 - 3*z - 11. Let s be m(t). Let k be (30\/4)\/(6\/s). Round k to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d = 14*d + 442. Suppose -t - 1 - d = 0. What is the second biggest value in -2, t, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/7)\/(2\/(-7)). What is the second derivative of -o**z - o**5 + 5*o**5 + 14*o wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*q - 42, 105 = -5*k - 0*q + q. Is k > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(8))*-5 - 3*sqrt(2592)*-1)**2.\nAnswer: -2548*sqrt(2) + 19377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (-11 - -8 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (16 + (-15 - (-4 - 14))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {h: 1, c: 9, s: 6, m: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49713, 48379, 46159, 43053, 39061?\nAnswer: 34183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64572010, 64572007, 64572002, 64571995?\n\"Answer: -g**2 + 64572011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -56, -59, -68, -89, -128?\n\"Answer: -f**3 + 6*f**2 - 14*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1074\/269 (b) 1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -4a66?\nAnswer: -4a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 434512?\nAnswer: -434512.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 293179160 to the nearest 100000.\nAnswer: 293200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.6. Let w = 1274 + -11470\/9. Sort w, -3, h in increasing order.\nAnswer: -3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(120)\/sqrt(10) - (-5 + sqrt(3) + 2).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 - 719*m**2 - 1986*m wrt m.\nAnswer: 12*m**2 - 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let o(t) = 121*t - 34. Let y(n) = -121*n + 32. Let p(a) = h*o(a) - 4*y(a). Differentiate p(u) wrt u.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*h = 3 + 1, 4*d = 5*h + 66. Let r be (-1)\/(2\/d)*(-1)\/1. Let x(z) be the second derivative of z**3\/6 - 13*z**2\/2 + 2*z. Give x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/((-44)\/8))\/2. Find the common denominator of -93\/14 and 1*(h - 6\/(-8)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 724340685 and 4285.\nAnswer: 4285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 - (-15)\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/60 - 22*p**2. Let z(j) = 11*j**2. Give s(z(f)).\nAnswer: 121*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*c*s**6 + c*s**4 - 2*c*s**2 - 59*c*s wrt s.\nAnswer: 6240*c*s**3 + 24*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 - (-4 - 0 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.9. Let c = -0.46 - -0.06. Let k = a + c. Which is greater: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61626 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, -1, -39\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + 0 - 87*d**2 + 87*d**2 + 1 - 2*d - 2*d**3 to the form a*d**3 + u*d**4 + j + c*d + x*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820649858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 24 = -q - 6*t, 3*t = -5*q + 51. Solve 4 - q = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**6 - 22\/3*j**3 + 21*j**2 + 0*j + 0*j**5 + 0*j**4 + 0 - 23\/105*j**7. Differentiate i(s) wrt s.\nAnswer: -184*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/35 - 91\/147. Let f = 10325\/37 + -279. Which is the nearest to 1\/2? (a) f (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 17. Let v be j(-8). Find the common denominator of 149\/30 and v*(-4)\/(-48)*137.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**4 - 21*s**3 + 3*s**2 + 33*s + 6. Let o(a) = -a**4 - a**3 - a**2 + a + 1. Let n(h) = -6*o(h) + t(h). Find k such that n(k) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 2 = -2. Let p(v) be the third derivative of 1\/24*v**4 - 1\/6*v**3 - 3*v**2 + 0 + 0*v. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 17*x + 27. What is the remainder when 138 is divided by q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 22872?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 177, 166, 151, 132?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:43 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-256)\/256)\/(20\/62).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(475) + 4 + -2 + sqrt(114)\/(sqrt(6) + sqrt(12)\/sqrt(2)*5))**2.\nAnswer: 217*sqrt(19)\/3 + 20023\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhk when three letters picked without replacement from kklklllwwvllhhwvk.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*b + 45, b = 2*l + 104 - 89 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g + g - 2*g)*(4 - 4 + 2) + 0*g + 3*g - g)*(305*g**2 - 174*g**2 - 154*g**2 + 5*g**3).\nAnswer: 20*g**4 - 92*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -10, -3 in ascending order.\nAnswer: -10, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4456.394 milligrams?\nAnswer: 4456394000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 164 = 8*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, 1 d, and 1 u when four letters picked without replacement from dujmmmujdmu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 11503 = 472*m + 28*m - 7345 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 74\/21, -0.97, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6941)\/(-1262) - (-13)\/(-2). Let p(k) = 86*k**2 + k + 1. Calculate p(j).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1001*z**3 + z**2 + 7*z + 89976 wrt z?\nAnswer: -3003*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5833301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 10*h**2 - 13*h - 9. Let i be k(-11). Let l be (-2)\/2 - 1 - -93. Calculate the greatest common divisor of l and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/72 + 5*w**3\/36 + 11*w**2\/2 + 3*w - 6. Solve q(m) = 0.\nAnswer: -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175*h**2*n**2*p + 4*h*n**2 - 47*n**2*p + 1 wrt h.\nAnswer: -350*h*n**2*p + 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l**3 - 10*l + 10. Let r(g) = g**3 + g - 1. Let v(k) = j(k) + 10*r(k). Factor v(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 15953?\nAnswer: 15953.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130848 is divided by 130714?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8275*t**4 - t - 14219.\nAnswer: -33100*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 19\/2, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x - 12*x + x + 1508. What is the remainder when 4883 is divided by x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r**2 - 157*r - 115. Let a be o(15). Let p(l) = 1. Let t(s) = -3*s + 3. Calculate a*p(x) - t(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:06 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -34*q - 6336. What is z(-155)?\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226542, -226285, -226028, -225771, -225514, -225257?\nAnswer: -225000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 - -144. Let p = 51 + f. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 12*h + 6*h - 2*h**3 - 18 - 16*h**2. Let l be (60\/(-8))\/((1 + 3)\/(-8)). Calculate the least common multiple of 15 and k(l).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -732.68 - -751. What is x rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337 + 5123?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -208*b**2 + 66*b**3 + 28*b**2 - 5*b**4 + 14 - 174 - 16*b**3 + 280*b = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*y + 10 = -2*y, -14 = -5*o - 2*y. Suppose 0 = -3*r - 3*w - 0*w + 18, 2*r - o*w = 36. Suppose 1900*x - 7 = 1907*x. Put x, r, 1 in ascending order.\nAnswer: x, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h + 14*h + 7 + 3*h + 9*h.\nAnswer: 74*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -81, -86, -105, -144?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268 times -299?\nAnswer: 379132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 6792896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.603 + -0.803. Which is the nearest to -4? (a) -0.04 (b) 4 (c) g (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 27*a - 146. What is i(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21817 divided by -54.\nAnswer: 21817\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:51 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2079*11*(-18)\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 340, 545, 822, 1171, 1592?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 15*n**2 + 3*n - 6*n to s + m*n + y*n**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-60))\/((-4105)\/2463).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24459 divided by -1.\nAnswer: 24459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9 + 2*k + 8*k - 2 + 0*k wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0378 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x - 88. Let l be w(-10). Let n(k) = -16*k + 11. Let b(g) = -3*g + 2. Let v(h) = l*n(h) - 11*b(h). Let o(s) = 2*s**2 - 15. Calculate v(o(r)).\nAnswer: 2*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 10:20 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17099, 17100, 17101?\n\"Answer: q + 17098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3388, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293.99999702 + -294. Round n to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 - 18) - 5 - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0212459 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, m: 1, f: 3, t: 7}. Give prob of picking 2 f and 1 t.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 7083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 18. Suppose n*t - 28 = -l, 3*t - t = 5*l + 14. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252 + 273. Let v be ((-875)\/c - 1)*(-6)\/4. Calculate the highest common factor of 64 and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256196 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 - 2*y**3 - 78369*y**2 - 55393*y wrt y?\nAnswer: 40*y**3 - 12*y - 156738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4135 + 5?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79955 by -8.\nAnswer: 79955\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42562284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -5\/2014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1477\/17 - -87. Let q = 0.5 - 0.1. Sort u, q, -4 in descending order.\nAnswer: q, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-60)\/(-14))*-7*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21437347 to the power of 1\/2, to the nearest integer?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) - 48\/18. Is 7 a factor of (13\/(-4) - h)*-28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-5 - -8) - 4. Let v(l) be the second derivative of 1\/42*l**7 + 0*l**6 - 1\/20*l**5 + 0*l**3 + 0*l**2 + c + 2*l + 0*l**4. Factor v(g).\nAnswer: g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -978 by -50245.\nAnswer: 978\/50245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from bxxxxbwwxxbbbxxwbbxx.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -132028 divided by 66014.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 815656787*h - 549821993?\nAnswer: 815656787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 11) in base 16?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/113 and 89\/678?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, c: 1, e: 1, s: 2, d: 1}. What is prob of sequence sc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w**2 - 16. Suppose 0 = -0*n + n, -5*n - 45 = -5*f. Let m(k) = -k + 2. Let q be m(0). Let z(b) = -b. Give f*z(y) + q*l(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -41366?\nAnswer: -41403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/4032)\/((-1)\/(-3) + 0).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 12*r + 7. Give p(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 176.97.\nAnswer: -4, 5, 176.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -499563*w + 8 - 9*w**3 - 3*w**2 + 499563*w as p + z*w**3 + h*w**2 + k*w and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/248 - -463\/8184. Calculate the common denominator of -46\/3 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(64) - (-2*sqrt(64)*2 + sqrt(64)))\/(sqrt(18) - sqrt(162)))**2 - ((sqrt(32) + sqrt(32) + 1 + sqrt(64)\/sqrt(2))*-5*-6)**2).\nAnswer: 108000*sqrt(2) + 11703860\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -ac?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212727 is divided by 106296.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7353.76 and -2.\nAnswer: -14707.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atstgatsttatatasa. What is prob of picking 1 g and 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-17)*4*27\/12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/1153 in 2, -6, 0.01, -7, -0.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 8380.\nAnswer: -8392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**25*m*(m*m*m*m**0*m)\/m*m*(m\/(m\/(m*(m\/(m*m\/((m**(-10)\/m)\/m)))\/m)))**(6\/5) assuming m is positive.\nAnswer: m**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. Suppose 8 = 3*h + o, h = 2*h - 2*o - 5. Suppose -h*s - 6 = 3*s. Sort l, 5\/2, s.\nAnswer: s, 5\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 22. Let j be a(-14). What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852467174?\nAnswer: 2, 3, 102914843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*r - 1693*r = 4861*r - 649*r + 728865 for r.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:53 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -3*m**2 - 6 + 0*m**3 + 0*m + 0*m**4 + 1\/10*m**5. Let k(h) be the second derivative of a(h). Let v(r) = -2*r. Give v(k(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o - 9. Determine y(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -12\/139277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 594a0022?\nAnswer: -594a0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 32?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -274, -716, -1332?\n\"Answer: -87*u**2 - 7*u + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 95793.67 years?\nAnswer: 9579.367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 192*h - 166*h + 260 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100111000 (base 2) in base 8?\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + -5 + sqrt(88)\/(sqrt(88)\/(sqrt(704) - sqrt(11))).\nAnswer: -13 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 10)*(-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*f + 37710 - 66414 = 0 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 571, 853?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 7*c - 7*c + 17*c + 20.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2. Let q(v) = -v**2 - 24*v. Determine u(q(o)).\nAnswer: -4*o**4 - 192*o**3 - 2304*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 + 19*l**2 + 15*l**2 + 16*l**2 - 70*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 26. Suppose n*x - 97 + 22 = 0. Is 156\/10 + x\/(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o - o + 2*o)*(-3 + 3 - 4*o) + 3*o**2 + 0*o + 0*o + 8*o**2 - 13*o - 5*o - 6*o**2 as n*o + g + h*o**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*s + 316 = 471 + 717. Suppose -2*m - 6 = -0*m. Sort m, -11, s, 3 in descending order.\nAnswer: s, 3, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 2*m**2 - 22*m + 4*m**2 - 2*m**2 to w*m + s + t*m**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -1. Let q be 5 + -2 + -3 - -1. Which is the closest to q? (a) -5 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 8)\/(-17*(-20)\/(-3400))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041488 rounded to four decimal places?\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2372033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 28. Suppose -4*v + 245 = 5*c, -2*c - 20 = -3*c + 5*v. Let q = l + c. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let o(s) = -2*s**2 - 1. Let q(d) = 78*d**2 + 26. Let a(r) = -26*o(r) - q(r). Calculate a(u(y)).\nAnswer: -416*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 22 = 5*h, -m - 8 + 10 = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 20. Let y be u(-10). Let i be y\/(-2)*(-4)\/3. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (-2 + 3 + 1)*(-3 - 1 + 8))*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(0\/(-1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 46*h - 21. Let l be u(39). What is the highest common factor of l and 924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from ckaanaeaeenw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1168857965 from -0.2.\nAnswer: -1168857965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2102258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 16. Calculate the remainder when t is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 7*d - 2*d)*(-2 - 4 - 1) to the form n*d + s and give n.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5269595\/3964 + 112\/991. Which is bigger: l or -1330?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -4)\/(1\/5). Suppose 0 = r*z - 85 - 70. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 72?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115, -460, -1035, -1840, -2875?\n\"Answer: -115*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10086 = -13*h + 12*h - j, 2*h - 20178 = -3*j. What is the highest common factor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9 + 207*s**3 + 243*s**3 - 10 + 77*s**3.\nAnswer: 527*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -85580 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:11 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 1548\/(-270))\/(3\/30).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + ((sqrt(2736) - (sqrt(2736) + 6*(1 + sqrt(2736)))) + sqrt(2736))**2 - ((0 + -4 + (sqrt(19) + -1 + sqrt(19) - sqrt(19)))*6)**2).\nAnswer: 1080*sqrt(19) + 66861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + ((-2)\/(-1))\/(23 + -21). Which is the third biggest value? (a) f (b) 26.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*y + 165 - 1479 - 149 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350 greater than 4350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194.09 + -193. Let j = f - 1.09000053. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Let k = -4 - -6. Suppose -s - 3*s + 4 = 0. Which is the second biggest value? (a) s (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011122020 (base 3) to base 10.\nAnswer: 82113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -38*i**2 - 169*i - 78. Determine o(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/12 - 7*w**3\/3 + 9*w**2\/2 + w - 2. Let m(d) be the first derivative of n(d). Is m(-7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) - 952\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0345655602 to four dps.\nAnswer: 0.0346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q - 1502 = -340*q - 97 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {j: 2, a: 1, f: 2, m: 2, p: 2, t: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/(-372)*2\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/w*w)\/w**7*(w**(-4\/9)*w)\/w*w*w*w*w**5 assuming w is positive.\nAnswer: w**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -634 divided by 46843.\nAnswer: -634\/46843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 276\/(-36))\/((-57)\/(-18))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*2\/4. Let u be s\/7 + (-304)\/(-14). Suppose -3*x = l - 0*x - 10, l = x + u. Solve 0*f = -m + 2*f + 2, -m - l = 5*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 3 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3340.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 4*k**2 - 5*k + 4. Let d(b) = 3*b**3 + 8*b**2 - 9*b + 7. Let v(c) = 3*d(c) - 5*j(c). Calculate v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-5) + (-6)\/(-15). Let t(i) = -2*i. Let c be t(3). Let u be ((-6)\/18)\/(z\/c). Is 1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 + 10*t + t**2 - 40*t)*(8 - 11 + 9) to the form d*t + i*t**2 + a and give d.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - 7*x**2 + 24*x + 6. Let q be l(3). Let h = q - 154. Let f = 3 - 6. Sort 1, h, -2, f.\nAnswer: h, f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3030810 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.077? (a) 0.3 (b) 51 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0346221618 rounded to four dps?\nAnswer: -0.0346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 103*y**2 - 505*y - 1453. Give h(-98).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 166.478301\nAnswer: -83.2391505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + 83 + 7 + 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**6 + 0*v**7 + 0*v**3 + 0 + v**2 - 1\/20*v**5 - 1\/336*v**8 + 0*v + 0*v**4. What is the third derivative of f(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*u = 544*u - 4460 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3333, 6656, 9969, 13266, 16541, 19788, 23001?\n\"Answer: -m**3 + m**2 + 3327*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 15 - (7 + 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -9.3.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 21 = -4*j - g, -5 = g. Suppose -4*q = 60*v - 65*v - 5, 35 = -3*v - j*q. Which is the third smallest value? (a) -0.3 (b) v (c) 4\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10\/71 (c) 2.6 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -685737*m*v + 11537757*m - 29*v**3 + 4 wrt v.\nAnswer: -685737*m - 87*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7 + 2*k**3 - 4*k**2 + 0*k + k + 5*k. Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 79.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 2*y**3 + 5*y**3 + (12*y**2 + y**2 + 2*y**2)*(-y + 5 - 5) + 206*y**2 + 4*y**3 - 206*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 1408245*k + 4224780.\nAnswer: -5*(k - 281652)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.44 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -x*u + 329 = 128. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43735 divided by 5\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12581 + 13459. Calculate the remainder when 2645 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81899 is divided by 450.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3227185 and 2275.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 25\/1193?\nAnswer: 25\/1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/14 + (-1085)\/1519. Solve -9 = -w - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 37. What is the lowest common multiple of 24 and i(-57)?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = g + 2*o, 3*g - 3 = -3*o. Put -5, 3, 4, g in ascending order.\nAnswer: -5, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 41051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/8 + 0 + 2. Suppose -b = 3*b - i. Let t(z) be the first derivative of 2*z**3\/3 + z**2\/2 - z + 1039. Give t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740081926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353929078 and 1018.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/11 + 206*q**2\/11 - 204*q\/11 = 0.\nAnswer: 0, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14999437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.38 + -8.08. Let k = 43 - w. Let z = -2.2999956 - k. Round z to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2313*k + 1956 - 534 = -2392*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15974, -15966, -15958, -15950, -15942, -15934?\nAnswer: -15926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let p(n) = -61 + 10*n - 65 + 200 - 71. Determine p(y(i)).\nAnswer: 20*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -28*x + 11. Let c(b) = -9*b + 4. Let s be (-1152)\/(-16)*(-1)\/2. Let l = s - -25. Let f(v) = l*c(v) + 4*g(v). Let j(i) = -2*i**2. Calculate f(j(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*z = 3*v - 37, -2*z - 6 = 0. Suppose 2*p - v = 1. Solve -4*t - 3 = -p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -15. Solve 2*s - k = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552575071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2822134 (base 10) in base 13?\nAnswer: -77a703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 + (-12 - -3) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 13*s - 92 = 14*s, 5*z + 2*s + 154 = 0 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1212 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**6\/a*a*a*a\/(a\/(a*a**(2\/5))*a))**(2\/3) assuming a is positive.\nAnswer: a**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5568998, 5568996, 5568994, 5568992?\n\"Answer: -2*n + 5569000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264 - 258. Is (-2)\/3*(-711)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -738 + 817. Calculate the remainder when 298 is divided by l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54\/7 - 1181\/154. Let f = 2059225\/66 - 31201. Let w = f - z. What is the smallest value in 1\/5, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 11*c + 64 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a + 14*a - 7*a**2 + (-5 + 2*a + 5)*(a + 0*a + 0*a) - 2413 + 4922 - 2423 - 6*a**2 to b*a**2 + j + r*a and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 1 - 2*y - 5*y. Is 13 a factor of h(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 31*k = 32*k - 6, 0 = -4*f + 5*k - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 742 and 49?\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 143, 3, -6, -1 in decreasing order.\nAnswer: 148, 143, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13389 - 11913.9. Let p = b - 1538. Let c = p + 56. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:15 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -1933491397061.\nAnswer: -1933491397065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1507 = 2623*l - 2068*l + 9832 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 7:57 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3746, 4048, 4348, 4646, 4942, 5236?\nAnswer: 5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roioioooivoiooo. What is prob of sequence voo?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 - 3*x + 1. Suppose i + 2*r = 8, i = -3*i + 4*r - 4. Let s be a(i). Let n(b) = 3*b - 7. Does 3 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -7)*2 + 2. Suppose v*c - 3431 = 5889. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -18. Let i be -18 + (1 - 1) + f. Let o = i + 24. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -5. Let k = 16 + t. Let x = -6 + k. Which is smaller: 2\/31 or x?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to 909261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (13 + -17 - -1)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362394 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b)**(4\/27)*(b**(-2\/13))**(-3\/20))**(-50) assuming b is positive.\nAnswer: b**(25595\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 + g + 2. Let p(k) = 3*k - 39*k**2 - k**3 + 3 + 36*k**2 - 2*k. What is 4*p(d) - 6*s(d)?\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292426*f**3*j**3 - 63*f**3*j**2 + 4*f**3*j - 3*f**2 + f*j wrt j.\nAnswer: -1754556*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 575*r**3 - 1770*r**2.\nAnswer: 5*r**2*(r - 118)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136407 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = -10. Calculate the remainder when 39 is divided by 0\/1 - (0\/7 + z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d = 39*d - 4*j - 429 + 365, j = -6*d + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3) + (-2)\/3. Let s = 19 - 17. Let k = s + 14. Solve v*w + 2*w = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13569.\nAnswer: 3, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 10:01 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, h: 4, n: 1, l: 4, j: 5}. Give prob of sequence tnll.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = -0*x + 24. Let p be x - (20\/(-15))\/((-4)\/(-6)). Let j = 0.5 + -1. What is the closest to -0.1 in p, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37604095.34 rounded to the nearest 1000?\nAnswer: 37604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -35*f + 510. Does 10 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:09 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149375514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m - 8*m - 2*m. Let w be a(-1). Sort w, -4, -1.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2680821 by -429.\nAnswer: -6249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.084? (a) -7 (b) 5 (c) 39 (d) -0.2 (e) -4 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12886\/279 or 0?\nAnswer: -12886\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 232452 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 571157 and 6?\nAnswer: 3426942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v**2 + 52*v - 30. Let g(x) = 14*x**2 - 51*x + 35. Determine -6*g(j) - 7*t(j).\nAnswer: 7*j**2 - 58*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 5*l**2 - 3*l - 1. Let c(m) = -m**2 - 2*m - 1. Let d(b) = -3*c(b) + f(b). Let i = -8 + 5. Determine d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 12*y + 36.\nAnswer: -3*(y - 6)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*z**3 - 645*z**2 - 270*z = 0 for z.\nAnswer: -18\/49, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5306 (base 10) to base 8.\nAnswer: -12272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2937, 2938, 2929, 2904, 2857, 2782?\n\"Answer: -r**3 + r**2 + 5*r + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ppxbrmjm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 6*j**2 - 63*j + 333. Does 5 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 - 27*v**2 + 216*v + 33. What is t(9)?\nAnswer: -2397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47697.\nAnswer: 3, 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59957, 59883, 59687, 59309, 58689, 57767, 56483, 54777?\n\"Answer: -10*p**3 - p**2 - p + 59969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211100 (base 3) to base 5.\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45882\/3132 - 15) + 3\/9.\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -4.8. Let l be (75\/(-200))\/((-18)\/(-24)). What is the second smallest value in j, l, -1\/8, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 8*i + 14. Let b be j(7). Let f be (-9)\/b - (-2 + 11\/5). Sort 2\/15, f, 0 in descending order.\nAnswer: 2\/15, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17444235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than -43690844?\nAnswer: -43690824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.415963nm to micrometers.\nAnswer: 0.007415963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 4*j**3\/3 - 9. Let s(b) = -b**2. What is s(a(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -32269*u - 225864. Give b(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(33)\/(sqrt(99) - sqrt(11) - sqrt(11))))\/(sqrt(60)\/(2*sqrt(588))).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -60.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 + 2*t**2 - 1623*t - 2820 wrt t?\nAnswer: -6*t**2 + 4*t - 1623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + v - 3. Let w be o(2). Suppose w*h = 2545 + 953. List the prime factors of h.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -108.2, -1, -4, 2\/7, 0.0919 in ascending order.\nAnswer: -108.2, -4, -1, 0.0919, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035 - -1039. Let i(j) = -4*j + 8. Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 4, h: 3, d: 1, o: 1, g: 1}. Give prob of picking 2 h and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -61, -140, -249, -388?\n\"Answer: -15*y**2 - 4*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szaeeazzyzzzzayewa. What is prob of picking 1 z, 1 y, and 2 e?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 130, 138, -1, -4, 2 in descending order.\nAnswer: 138, 130, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 174.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:38 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.21 - 11.21. Let z = 2 + -3. Which is the closest to z? (a) -4 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a7 (base 12) to base 6.\nAnswer: 21531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1410777 - -133?\nAnswer: 1411132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 245*d\/3 + 82.\nAnswer: -(d - 246)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5298 + 5266.588. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/9 - 9874*s**3\/9 - 24304753*s**2\/9 + 113906464*s\/3 - 133079296.\nAnswer: -(s - 7)**2*(s + 4944)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, v: 12}. What is prob of picking 1 g and 1 v?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 3*z**5\/10 - 11*z**4\/24 - 12*z**2. What is the second derivative of c(n) wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-25) - (-1508)\/725. Suppose 2*f = 2*z + z - 2, -z = 2*f - 6. Suppose -b - f*b = 0. Solve v + b = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. What is the common denominator of 3\/12 - (-114)\/(-16) and (c\/(-12))\/((-2)\/(-244))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 44 + 623*b + 62)*(0*b**4 + 2*b**4 - 4*b**4).\nAnswer: -1246*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 4\/(-10). Suppose -5*p - 9 = -a*x + 4*x, -3*x + 4*p = -32. Suppose -5*k + 10 = -x*k. 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 the smallest common multiple of 16 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 + -0.5514. Round t to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2. Suppose -28*s - 8 = -2*c - 24*s, 4 = 4*c + 4*s. Let a(p) = 13*p - 13*p - 4*p**2 + p**c. Determine a(g(x)).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 850753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 times -2?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + 164. Let w = j - 156. What is the remainder when 1034 is divided by w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 13 - (159 - 163).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/9*(-15730)\/(-11011)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (sqrt(637) - sqrt(637)*-1)*-4 + sqrt(637) + -1*(sqrt(637) + 1) + sqrt(637) + (4*(-2 + sqrt(637)) - sqrt(637))*-2)**2*-6.\nAnswer: -647268 + 16380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1148*w**6 + 26*w**2 + 2*w - 31?\nAnswer: -137760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 136*b - 1782. Calculate i(18).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -640386.9 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 352.99693 from -1.38248.\nAnswer: -354.37941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 624*d**2*k**3 - 2168*d**2 wrt k.\nAnswer: 1872*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 32211*v + 825. Is g(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/10 - 58*c**2\/5 + 229*c\/10 - 57\/5 = 0.\nAnswer: 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -5\/3. Let c = 7.6 - 2.6. Put w, c, -1\/5 in decreasing order.\nAnswer: c, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/3, 0.039, -2, 0.47, 4, -3\/11?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -1. Let x(d) = d**3 + 7*d**2 + 4*d - 16. Let j be x(w). Let z = -2\/333 - -704\/6327. Sort 0.1, j, z.\nAnswer: j, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.48228 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:45 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58752*g**2*h**2*x**2 + 2*g**2*h*x**2 + 4*g**2*h*x + g**2*x**2 + 2*g*h*x**2 - 113243*g*x**2 - g - 152*h**2*x + h**2 wrt h.\nAnswer: -117504*g**2*x**2 - 304*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4892 + 13964. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/14 + 621\/21. Suppose b*x - 19*x = 88. Solve 5*p - x = 2*p - 5*q, 2*q = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2722, -2726, -2730, -2734?\nAnswer: -2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 - 7*q - 11. Let g be w(8). Let u be (0 + -3)\/((-6)\/(-4)). Let t = 3 + u. Which is the closest to -0.1? (a) 0.5 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -1399, -2138, -2859, -3556, -4223?\nAnswer: -4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25749616*b + 2*b**3 + 25749616*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*o**4 + 3*o**3 + 156*o**2 - 12*o - 7?\nAnswer: 1392*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 100*m**3\/3 + 40*m**2 + 16*m + 1. Find a such that t(a) = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4786130.\nAnswer: 2, 5, 307, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6, f: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053180389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86998.01 millimeters to centimeters.\nAnswer: 8699.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 21511*x**2 + 244*x - 40. Let b(l) = 10755*l**2 + 121*l - 20. Let u(n) = -13*b(n) + 6*p(n). Let y be u(-21). Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164525058 is divided by 7037?\nAnswer: 7035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/14)*c**(-4)\/c)**(-26))**(-38) assuming c is positive.\nAnswer: c**(-35074\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**3 + 20*f**2 - 14. Let u(j) = 3*j**3 - 7*j**2 + 5. Let y(r) = 4*n(r) + 11*u(r). Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2. Let r(d) = 2 - 2 - 21*d + 20*d. What is c(r(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 388073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 9. Let m be v(4). Let y = m + -42. Is (9\/y)\/(3\/521) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.2 + 16. Let m = -0.3 - j. Let c = 3 - m. Which is greater: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/7))**41\/(r**(-26)*(r\/(r\/(r**(-2\/13)*r)*r))\/r) assuming r is positive.\nAnswer: r**(4070\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24)*-14)\/((-13)\/52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1538, 3081, 4624, 6167, 7710, 9253?\n\"Answer: 1543*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmxzstttxszxztszztt. What is prob of sequence mts?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 327, 734, 1303, 2034?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 - 3*u**2 + 21*u\/2 - 6.\nAnswer: -3*(u - 1)**2*(u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = 0, -4*n - 2*i = -2*n - 6. Solve n*m = -4*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h + 2. Suppose 4*p + 11 = -h. Is p less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 949263543 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/6 + (-50)\/(-6) is divided by ((-30)\/70)\/((-4)\/28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((150\/200)\/((-1015)\/(-348) - 2\/3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let d = -9 - -9. Let f be 0 + d\/4 - -3. Let m(w) = -4*w**2 - 3*w**2 - f*w**2. What is m(l(x))?\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/112 and 63\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -6. Let j = 6.4 + z. Let f = 2.6 - 3.6. Which is the closest to f? (a) -2\/7 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujuj when four letters picked without replacement from {w: 6, j: 4, u: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1666*k + 1980. What is f(1)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 8051500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v**2 - 7931*v + 31708. Give q(4).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-26)*(2\/(-3))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26437\/5 + 5284. Calculate the common denominator of p and 26\/(-6)*3\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1293 divided by -399.\nAnswer: 431\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 8:09 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Let w be (132\/21)\/(6\/(-153)). Let r = 160 + w. What is the nearest to r in 1\/7, y, 1\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73185*h**2 + 5*h + 6*h**3 + 12*h - 12*h - h**3 - 73188*h**2 - 5*h**4 to the form t + v*h**3 + s*h**2 + r*h**4 + p*h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 988*n**2 + 171*n. Let g(a) = -23*a**2 - 4*a. Give 171*g(l) + 4*r(l).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 bigger than -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**2\/2 + 23. Let h(c) = 8*c**2 + 3. Give h(v(l)).\nAnswer: 8*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2. Let p(u) be the first derivative of 2*u**2 + 4*u - 366. Calculate p(v(i)).\nAnswer: 8*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/540 - n**5\/27 - 23*n**4\/108 - 14*n**3\/27 + 8*n**2. Factor q(m).\nAnswer: -2*(m + 1)*(m + 2)*(m + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.5 (c) 2\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 times 0.036?\nAnswer: 45.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**30*s)\/s)\/s**23*(s*s\/(((s**(-3)*s)\/s)\/s))**(1\/28) assuming s is positive.\nAnswer: s**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 2. Let m(l) = l**2 - 3*l - 110. Let q be m(12). Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1301122 (base 4) to base 8\nAnswer: 16132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6181000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2 + 7*v - 7. Let y be d(1). Let w(i) = y*i**2 + 9*i**2 + 10*i**2 - 29*i**2. Let o(k) = 199*k**2 - 1. Give w(o(f)).\nAnswer: 39601*f**4 - 398*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j**3 + j**2 - 3*j + 54. What is the units digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 2, b: 2, w: 6}. Give prob of picking 1 b and 2 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/3, 543, -5, -3\/2, -0.2, -4 in increasing order.\nAnswer: -25\/3, -5, -4, -3\/2, -0.2, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ubuubub?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8*(-51 - -35). Let t(o) = -2*o**2 + o - 5. Let x(m) = 2*m + 1. Let v be x(-3). Let r(y) = -2*y**2 + y - 6. Calculate q*r(j) + v*t(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 2*x + 12. Let g(q) = -1. Suppose 5*n - 9*n + 4 = 0. Let z(o) = n*t(o) + 12*g(o). What is the second derivative of z(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a factor of 32352072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gngf when four letters picked without replacement from fggfffngggggffg.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.43 - -58.28. Let q = 70 + -120. Let x = q + v. What is x rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + k = 2*k + 5, 2*k = 5*i - 28. Let v = i + -13. Let z(j) = 2*j**2 + 6*j. List the prime factors of z(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a438 + -5?\nAnswer: a433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*u + 327*u + 107*u + (3*u - u - 4*u)*(1 - 2 + 0)*(-3 + 3 - 2).\nAnswer: 341*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/45 and 63\/2225.\nAnswer: 20025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 - -272. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22768, -22771, -22776, -22783, -22792, -22803, -22816?\nAnswer: -22831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 118530.9781 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2\/11, -0.1, 0.7, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7015112059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010100110 (base 2) to base 10.\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -31*r**2 + 54*r + 57. What is the units digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:32 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 + 3*n**2 - 7*n - 1. Let t(j) = 6*j**3 + 7*j**2 - 19*j - 3. Calculate 4*t(q) - 10*w(q).\nAnswer: -6*q**3 - 2*q**2 - 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -2\/19 (b) 194 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 - 2*c - 9. Let f be k(-7). Let b(x) = x**3 + 6*x**2 + 5*x + 6. Let y be b(f). Let u be y + 3\/((-12)\/(-16)). Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w - 1. Suppose 2*v = 2*x, 8*x + 2*v - 4 = 6*x. Let m(n) = 2*n**3 + 2*n**2 + 8*n + 4. What is x*m(a) + 4*b(a)?\nAnswer: 2*a**3 - 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 36*f - 38. What is z(37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 11*x**4\/4 + x**3\/6 - 22*x**2 - 2. Let l(f) = -3*f**2. Calculate l(o(r)).\nAnswer: -13068*r**2 - 396*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388690736 by -991558.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161\/2 + 82. Factor -3\/2 - g*l**2 + 3*l.\nAnswer: -3*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*w = 740 + 892, 0 = k + w - 398. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/780)\/((-2)\/8). Which is the closest to 56? (a) 2 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a + 3*n, -a = -5*n + 2. Suppose 0 = -0*o + 2*o - 10. Solve 4*c = -0*x - 3*x + 21, 0 = -o*c + a*x + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*d**3 - 577*d**2 + 0*d + 0*d + 313*d**3.\nAnswer: 254*d**3 - 577*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 519 + 1873. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.11453 to 2 decimal places.\nAnswer: -5.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(-2*sqrt(133) - sqrt(133)))\/(-4*sqrt(21)\/sqrt(3)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 33861?\nAnswer: -33862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1371 >= -60385\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622346672.\nAnswer: 2, 3, 33798889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/9 - (-16412223)\/(-2403). Is m bigger than -6832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 73*c**2 + 2 - 12.\nAnswer: 73*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2751 - 13758\/5. Let n(g) = 2*g**2 - 5*g + 8. Let k be n(6). Let p = 201\/4 - k. Which is the nearest to p? (a) v (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2111 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187572195.\nAnswer: 5, 1051, 225989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 7. Let w be r(5). Suppose -4*d - 4 = 3*l, 5*l = -d + 6*d + 40. Let u be (26\/39)\/(l\/6). Calculate the highest common factor of w and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*p**2 + 31*p**2 + 30*p**2 + (-2*p**2 + p**2 - p**2)*(-1 + 3 - 3).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20200022?\nAnswer: -20200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = 6. Let l = -3 - z. Find s such that 14*s**2 - s**3 + 12*s**3 - 4*s + s**l + 8*s = 0.\nAnswer: -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 8*a**2 - 2*a + 11. Let n be g(8). Let w(j) = -12*j**2 - 3*j - 1. Let t be w(n). Let i = -167 - t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-5))\/((-94)\/705*1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9186.32 to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 29*o**2 - 202*o - 47. What is u(-19)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*h = 14, -h = -4*h - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28414 - -28419. Solve -14 = -j*r + 12*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5689 - -56899\/10. What is the common denominator of -103\/6120 and o?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -44, -69, -98, -131, -168?\n\"Answer: -2*i**2 - 15*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110011 + -111011111010010?\nAnswer: -111011010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 6. Let h = 1989 - 1987. Solve -k*w = u - 7, 3 = -h*u - 2*w + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + i + 3*i - 14, 0 = 2*n - 2*i + 6. Let h = -1 - -4. Suppose n*l = -h*l + 40. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7521 + -7252.95. Let n = 204 - g. Let b = 64 + n. Is -2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -12731 in descending order.\nAnswer: -3, -12, -12731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 67208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c - 29. What is the units digit of k(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrorroroio. What is prob of picking 1 i and 3 o?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1371477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -310*c**2\/9 - 926*c\/9 + 4\/3.\nAnswer: -2*(c + 3)*(155*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*n + 0 + 23*n - n**3 - 2 in the form d*n + j*n**3 + x + r*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 144*k**2\/5 - 1051*k\/5 + 906\/5.\nAnswer: (k - 6)*(k - 1)*(k + 151)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 31. Let t be r(-15). Let s(f) be the third derivative of -6197*f**4\/24 - f**3\/2 - f**2. Let q be s(t). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5820922.\nAnswer: 2, 2910461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -6.8041.\nAnswer: -6.9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13 + 1 - 2)*(-17 + 87 + 2)*(f + f + f)*(0 + 0 + 1) + 0 + 0 + 2*f)*(2 - 2 - 1)*(-3*f + f + 7*f).\nAnswer: -12970*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -43, 1000, 1, 5 in decreasing order.\nAnswer: 1000, 5, 4, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116*i**3 + 3 + 147*i**3 - 3.\nAnswer: 1263*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16))**(-6\/17) assuming g is positive.\nAnswer: g**(96\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, 0.2, 860?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.766 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2002*q + 2000*q. Solve q = 3*c - g + 8, 1 + 19 = 5*c + 5*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2494)\/3741 + 5*(-10)\/(-48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46292693477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*q + 188 - 538 - 192*q + 183 + 170.\nAnswer: 7*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 5*h**4\/24 + 2*h**3\/3 - 2*h**2. Let n(s) = -3*s - 5 - 2*s - s. Suppose 2*w - 23 + 9 = 0. Give w*d(j) + 6*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + 13 + 1290\/(-10). Which is greater: l or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 11. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1575.002457 + 1575. Round n to 5 dps.\nAnswer: -0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**3 + 3*y**2 + 12*y - 19. Let a(p) = -p**3 + p**2 + 2*p + 1. Let j(m) = -6*a(m) + b(m). What is the first derivative of j(u) wrt u?\nAnswer: -3*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2 (base 16) in base 4?\nAnswer: 12302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/1298267 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3 + 6\/3. Suppose -2 - 30 = -l - 2*a, -f*l - 4*a + 178 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10130089.\nAnswer: 10130089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1442754*n - 726989 wrt n.\nAnswer: 1442754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 0 - n**3 + 6*n**2 - 15 + 12*n - 14*n**2. What are the prime factors of u(-11)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -32*l**3 + 13*l**2. Let z(f) = -192*f**2 - 959*f + 10. Let j be z(-5). Let k(t) = -21*t**3 + 9*t**2. Give j*g(v) - 7*k(v).\nAnswer: -13*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose 5*f - 8 = j. What is the smallest common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283636, 567270, 850904, 1134538, 1418172, 1701806?\nAnswer: 1985440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 87 - (65 + 9 - 32).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10516*y - 84152. Determine b(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17640691 - 34173691. What is i rounded to the nearest one hundred thousand?\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79135 and 714?\nAnswer: 474810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 253.5 (b) 5 (c) -0.01 (d) -4 (e) -5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 45*c + 172. Let f(u) = 47*u + 169. Let k(m) = -4*f(m) + 3*r(m). Find the first derivative of k(x) wrt x.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -15, -1394, 0.5, 9, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5280*i**5 + 58*i**4 - 103*i - 22229 wrt i.\nAnswer: -105600*i**3 + 696*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 4, g: 3, z: 2, d: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaahihhh. Give prob of picking 2 h and 1 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*2)\/(-2 + 4). Let v = 2 + o. Let i = 2\/115143 - 230296\/575715. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 - 2*n**2 + (4 + 2*n**2 - 4)*(-3 + 0 + 5) + 30*n**2 + 13*n**2 - 8*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**5 + 272*s**4 + 6656*s**3 + 66376*s**2 + 168252*s - 659736 = 0.\nAnswer: -21, -17, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 329817 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 + 0 + -1) - (-40 + (388 - 305))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 490595 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 417065029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, 1, -9\/5, -0.26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8)*16\/6. Suppose f = d*f - 66. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 26*y**3 - 5*y**2 + 4*y + 14. Let f be l(-4). What are the prime factors of (f\/(-24))\/(3\/8)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 69.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 + 14780*a**2 - 26644114*a - 2460501296 = 0 for a.\nAnswer: -88, 3739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + 1) - sqrt(13)) + -2.\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - 1. Calculate x(-34).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4929 and 120999.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 4*u**2 - 50 + 28*u + 0*u**3 + 9*u**3 - u**2 - 3*u**3. Let x be w(2). Calculate the greatest common divisor of 644 and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/24 + 3\/(-9). Let h(y) be the first derivative of -2 + 0*y + f*y**2. Let d(c) = -2*c. Give h(d(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from ffxsffsssf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 3, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -l. Let s(j) = -1. Let t(k) = k - 6. Let h(y) = -s(y) - t(y). Let i be h(l). Solve -5*u = -i*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 20, 13, -8, -49?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y = -4. Differentiate 31*k - 4 - 31*k - 5*k**y wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 13?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5933?\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-36 + -2) - (78 - 38 - 30).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(300)))**2.\nAnswer: -1600*sqrt(3) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16403 is divided by 16219.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-4*w + 3*w + 3*w + 0*w + 7*w + 0*w + (3 - 3 + 1)*(-4 + 4 + 2*w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32000 and -746390.\nAnswer: -778390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222249?\nAnswer: 7, 17, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -262*f**2\/7 + 112*f + 6\/7.\nAnswer: -2*(f - 3)*(131*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*l - 15, -2*b + 3*l = 8*l - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*j + 13929, -3*o = -j - 7222 - 3211. List the prime factors of o.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 1, v: 4, w: 4}. Give prob of picking 1 w, 1 x, and 2 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15555834 by 4.\nAnswer: 7777917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a**2)*(3 - 3 - 3*a) - 10*a**3 - 18*a + 18*a.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65059143967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -50882?\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.2 + -43. Let s = -13 + o. Which is bigger: s or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose -m - 10 = -3*a + 2, t*a - m - 17 = 0. Suppose -a*s = -2*w - 144, -3*s - 51 = -5*s + 3*w. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w + 140. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*h - 555, -5*b + 2*b = -h - 199. Let k = -120 - h. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14628004 to the power of 1\/2, to the nearest integer?\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 - 4*r + 1. List the prime factors of q(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.071 >= -2618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 62*s - 58*s. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 + 2*z**2 + 6*z**2 - 6*z**2 + 6*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/135)\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42\/11, -3, 52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 35*z = 2*w + 11, -z + 3*w = -11. Which is smaller: z or 2\/20685?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -5, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2215, -4432, -6649, -8866, -11083?\n\"Answer: -2217*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 + 32*w - 61. Determine q(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (123 - 125) + (-14 - -4 - 2) - 19?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*sqrt(9072) + sqrt(9072))*-2 + sqrt(9072))\/(((sqrt(144) - sqrt(144)*1) + sqrt(144))*4).\nAnswer: 5 + 27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(5\/7)*l)*l)\/l*l\/(l**(-1\/52)*l) assuming l is positive.\nAnswer: l**(-617\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(7 + -13). Find the second derivative of 26*u + 9*u**c - 4*u + 8*u**3 - 5*u**3 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, -0.4, -416, 0.2 in ascending order.\nAnswer: -416, -0.4, -1\/5, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3005 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6379717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = j, -2*j - 9*s + 6*s + 8 = 0. Suppose -j*v - 227 + 1679 = -4*y, -1065 = -3*v - 3*y. Calculate the remainder when v is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66 (b) -16 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*r - 9 = -o, -18 = 3*o + 3*r. List the prime factors of ((-20)\/14)\/(o\/35).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*j - 8 = 0, -3*q - 6*j - 30 = -j. Which is greater: q or -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tooototooooooooooooo. What is prob of sequence oo?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/8 - 67*q**4\/8 - 152*q**3 - 767*q**2\/2 + 32*q + 512 = 0. What is q?\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1747*u - 65*u - 27*u**2 - 977*u + 23*u - 1211*u**2 wrt u?\nAnswer: -2476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y**45)\/(y**(-24)*y**(-3)*y*y**(-2\/5)*y) assuming y is positive.\nAnswer: y**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647261?\nAnswer: 647261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980 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 u(t) = -9*t - 7. Let i be u(15). Let y = i + 206. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -4 (b) -2 (c) 0.11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1312 - -1311.9. What is the closest to k in 2, -3, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, -4, -1.\nAnswer: -387, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 25*a**2 - 18*a - 50. Let z(n) = n**3 - 13*n**2 - 9*n - 25. Let u(k) = -2*f(k) + 5*z(k). Is u(16) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 2592?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14822550 by -15.\nAnswer: -988170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/103 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 49*i**2 - 2*i + 3. Let k be r(1). Suppose -5*v = 5*v - k. Let f be -1 + v\/(-3) - 2\/(-3). Let c(q) = 2*q + 2. Give c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 - 18*v - 12. Let u be x(10). Suppose 2*s - 6 = u. What is the highest common divisor of s and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2259?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -37500000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 300?\nAnswer: -2fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 189.7. Let x = i + -11.3229. What is x rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/37 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 17 = -5*v - 1, 3*v + 6 = 3*k. Which is the smallest value? (a) k (b) 4 (c) 0.2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4256 and 931.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 95*g**2 + 24*g - 2289. Calculate x(95).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1348 - 877. Let v = f + -565. Is v at most as big as -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r\/(r*r**(1\/12)*r*r))\/r*r))*r**(-7)\/r assuming r is positive.\nAnswer: r**(-121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -7*z**3\/3 + 1324*z**2 - 756*z + 14910. Solve n(w) = 0 for w.\nAnswer: 2\/7, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3641726 plus -39.3974?\nAnswer: -40.7615726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -43 - 149. Suppose -4*a + 4 = -p. Suppose n = 20 - a. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 18 = 5*c. Let h = -6 + c. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 26, 5.875?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7179, -14354, -21529, -28704, -35879, -43054?\nAnswer: -50229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83413910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 474912 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-192)\/(-273) + (-48)\/56. Let f = 412 + -2056\/5. Which is the nearest to 0.1? (a) u (b) -4 (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -12. Suppose 1274 = 153*h - 562. Calculate the smallest common multiple of z and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -187*a + 179*a. Sort 448, a, 2 in decreasing order.\nAnswer: 448, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16827*c**4 + 71*c**5 - 16829*c**4 + 19*c**5 + 193*c**5)*(-1 + 0 - 3).\nAnswer: -1132*c**5 + 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59863 - 6630818.\nAnswer: -6630817.40137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19*c**2 + 18898*c + 18899. Determine o(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-18) + (-1178)\/4. Let u = 107 - y. Suppose -5*j - u = -3*l + 80, l - 160 = 2*j. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190684835.\nAnswer: 5, 11, 17, 23, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1294, 1295, 1296, 1297, 1298, 1299?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 11*r**2 + 5*r + 2. Let l be k(-11). Let s = -37 - l. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 + z + 6. Let f(h) = -3*h**2 + 3. Let k(x) = 9*f(x) - 4*q(x). Let r be k(6). Solve 3*s + 0 = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {j: 1, i: 1, o: 2, y: 2, l: 7, q: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602831 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: Is -1959619\/39 less than or equal to -50247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*d + 240*d + p, -30 = -5*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/2)\/(57\/114) + -5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239.09589 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101555 + 4244?\nAnswer: -53311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 21. Suppose 11 = 6*z + 5. Which is the nearest to z? (a) -1\/3 (b) -8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 14*f**2 - 33*f + 9. Let t be i(11). What is the highest common divisor of 171 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*o + 0*o - 64 = 0, 0 = 3*v - o - 43. Which is smaller: 17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 6) to base 4\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -64.119509 * 0.4\nAnswer: -25.6478036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + c + 202 - 185 = -c, 4*r + 47 = -5*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjjs when four letters picked without replacement from sjsssjjssjjss?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*k**4 + 135 + k**5 - 34*k**4 - 56*k**4 - 14 - 7*k**5 + 14 - k**2 + k**2 - 2*k**5 + (3*k + 0*k - 5*k)*(-2*k**4 + k**4 + 3*k**4).\nAnswer: -12*k**5 + 2*k**4 + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211045 is divided by 309.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Suppose p*b = -2*q + 338, -2*b + 5*b = q + 261. Suppose -b = -5*k + 459. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2195*n**2 + 0*n - 2205*n**2 - 3 + n)*(4*n**2 + 0*n**2 - 2*n**2).\nAnswer: -20*n**4 + 2*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuiuiuiuuuiui. What is prob of sequence uu?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 493 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yemerevremme. What is prob of picking 2 e and 1 m?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1068)\/(-48) - 4\/16. Solve d*t + 22 = 11*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 31*k - 56. Solve 3*w + j + 11 = 0, k*w + 3*j = -3*w - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469961691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.013 and -2155?\nAnswer: 2155.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1753.062 millennia?\nAnswer: 17530.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 59 - 29 - 14*l**4 + (-2*l + 2*l - l)*(-4*l**3 + 0*l**3 + 6*l**3) + 2*l**4 + 0*l**4 - l**4 as d*l**3 + h*l + s*l**4 + n*l**2 + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5068595?\nAnswer: 5, 7, 144817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 minus 0.5?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 20*r**2 - 29*r + 137. What is the remainder when i(9) is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8528*k + 170*k**3 - 1 - 2*k**2 + 1 - 8533*k as d*k + l*k**2 + w*k**3 + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2980 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 16 + 58 + (15 - 69) + -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4727 - -4771. Solve -27*m + 38*m = z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 962*t**4 + 33167*t + 327467137 wrt t.\nAnswer: 3848*t**3 + 33167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032567 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*(-1584)\/440*(-215)\/8\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - ((sqrt(132)\/sqrt(6) + sqrt(22))\/sqrt(2))**2)*5 + sqrt(88)\/(sqrt(40)\/sqrt(5)) + 5)*-6.\nAnswer: -36*sqrt(11) + 1290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 - 3 - m + 3 + 2. Let h be k(8). Let g(s) = s**2 - 15*s - 131. Let q be g(-6). Put 3, q, h in descending order.\nAnswer: 3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -10 + 24. Let n = t - 5. Solve -2*c + 10 = n*m, -5*m - 2*c + 14 = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from nmmcmnccummcmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.1 (c) -7524390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2))\/((-11)\/(-99)). Suppose -21*b = -w*b - 15. Suppose b*d + 4*j = 7 - 2, 10 = 4*d + 2*j. Solve v - 15 = 5*m, -3*v - 2*v - 15 = d*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.3 + -7.5. Suppose 3*o + 1 = 7. Let m = 1 - 0. What is the biggest value in m, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(245)*3*1 + -3)*-4*-1)**2.\nAnswer: -106272 + 6048*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264\/329 - -449133\/560945. Let j = -121019\/20460 + a. Calculate the common denominator of j and -101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/25 (b) 2 (c) 0.051 (d) -44\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24 + 25)*(-43)\/5 + 8. What is the nearest to -1\/6 in -4, 12, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 110, 167, 224, 281, 338?\n\"Answer: 57*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 712 and 4.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143, 150, 153, 152, 147, 138?\n\"Answer: -2*j**2 + 13*j + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let p(r) = 1100*r. Calculate q(p(u)).\nAnswer: -2420000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 6. Let z be 2\/5 + s\/5. Suppose -z*f = 2*f - 155. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.057 - -0.253. Let i = 0.01 - h. Sort 0, i, 3\/2.\nAnswer: i, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose -27 = -j*d + 13. Is ((-536)\/12)\/(d\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42510 and 218.\nAnswer: 42510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0849291387 + 43483?\nAnswer: 43482.9150708613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156 - -146) + (-15 - -4) + 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 - (-64)\/(21 - 53). Which is the closest to 0.034? (a) 0.1 (b) -1.9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 18.2.\nAnswer: -23.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -9\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 1. Let l(w) = 20*w - 24. Let h(k) = 2*l(k) - 10*p(k). Let b be h(4). Solve -14\/13*n - 2\/13*n**3 - 6\/13 - 10\/13*n**b = 0 for n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13. Let u = 0.9 + o. Let t = -19\/15 - -8\/5. Which is the closest to 1\/6? (a) u (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-1)\/(-4)). Let g = y + 7. Let k be (g + -2)\/((-2)\/44). What is the highest common divisor of k and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 1)*(-3 + 1 + 1)*(3*i**3 + 3*i**2 - 3*i**2 + (8*i + 15*i - 27*i)*(-2 + 2 + i**2)).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_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: Put -2800, 2\/19, 1\/246, 0.2 in ascending order.\nAnswer: -2800, 1\/246, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 217\/7*130\/130*-1*3\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/25, -0.5, -0.9, -5, -72 in increasing order.\nAnswer: -72, -5, -0.9, -0.5, -6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1973 - 867. Calculate the greatest common divisor of 56 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30434 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2924 and 0.01?\nAnswer: -29.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 591 + -587. Solve 0 = -5*d + 5*s + 10, -6*s = k*d - s - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3. Let g be q(-1). Let v be -3*(-2)\/2*g. Let w = v + 9. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 2, p: 1, k: 2, z: 1}. Give prob of sequence mtp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6875 (b) -4 (c) 2\/5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11210877649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-16))\/(((-105)\/(-20))\/(-7)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:35 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7461 + -154?\nAnswer: -7635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 15*d**2 + 56*d + 13. Calculate l(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 + 2 - (-10)\/15*6 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1 + 4 + sqrt(108) - sqrt(108) - (sqrt(108) + -1 + -1) - (-2 + 0 + sqrt(108) + (-1 + sqrt(108))*5 + sqrt(108)))*-6)**2.\nAnswer: -36288*sqrt(3) + 195696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*o - 125 = -802 - 353 - 431 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*x - 4622 = 0, -4*x + 1757 + 579 = -2*g. Let t = g - -1826. Suppose 0 = 3*d - d - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 68040?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17564 is divided by 627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127220822 to the power of 1\/2, to the nearest integer?\nAnswer: 11279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19)*-1 + -1))**2 + -3*sqrt(684) + 3.\nAnswer: 32*sqrt(19) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22024 (base 10) to base 6.\nAnswer: -245544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 29 (b) -3\/4 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 3, c: 5, n: 2, u: 1}. Give prob of sequence lnl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-110))\/(((-8)\/(-22))\/(14\/(-7)))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0, 4\/69?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -27. Let p(c) = -c + 1. Let w(m) = -2*m. Let h(d) = -5*p(d) + 4*w(d). Let z be h(-5). What is the greatest common factor of r and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 6:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35779 + -35766. Suppose 0 = 3*q + 2*q - 50. What is the remainder when w is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.26. Let b = 1321.8 + -43.8. Let l = 1278.2 - b. What is the closest to x in l, -0.2, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11192 (base 11) in base 14?\nAnswer: -5c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -112, -445, -998, -1771, -2764, -3977, -5410?\n\"Answer: -110*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 3002*g\/3 - 2998\/3.\nAnswer: -2*(g - 1)*(2*g - 1499)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 14)*5\/(-75).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 9*j - 87. Let r be u(16). What is the highest common factor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:50 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -8, 0.4, -15\/7, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:20 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 70 = -2*i, -3*v + 124 = -4*i + 40. Suppose 0 = -q + 3*c, 8*q - 3*q - 68 = -2*c. Suppose -14*k = -q*k - v. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 792*x**2 + 33*x + 293. What is the tens digit of k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/20 + t**4\/12 + 2*t**2. Let o(z) = 8*z**2 + 7*z. Let h(s) = -7*a(s) + 2*o(s). Let m(q) = q**2. Calculate h(m(r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*u + 8444, 3*j - 8*u = -7*u + 12666. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114400*v**3 + 880*v - 80.\nAnswer: 686400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 5*r + 4 + 2 - r**3 - r**2. Let u(y) = -5*y + 135. Let d be u(28). Let z be h(d). Calculate the greatest common divisor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/(0 - 5)) - (908 + -913).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**21\/(u\/((u\/(u\/(u**(-4\/3)\/u)))\/u)*u))**(-2\/7) assuming u is positive.\nAnswer: u**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 154 + 23. Let q = 85 + j. 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 nearest to 2 in 3, 2, 2\/9, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719243195.\nAnswer: 5, 23, 97, 243769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*a**3*y**4 - 6*a**3*y**2 + 2*a**3*y + 63467*a**2*y**2 + 7210*a*y**3 - 3*a*y**2 + 6*y**3 - 4*y**2 wrt y.\nAnswer: 3648*a**3*y + 43260*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1062 and 27?\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3536, 3781, 4026?\nAnswer: 4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 6 - 5 = -11. Solve -2*b + n + 2 = m, -4*b + 2*n - 12 = 4*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.115 times -15?\nAnswer: 16.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35122800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 11. Let g be d(13). Let h(l) = -13*l**2 + 267*l + 1084. Let w be h(24). Put 1, -2, g, w in descending order.\nAnswer: w, 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**6\/6 + 4*d**5\/5 - d**4\/4 - 10*d**3\/3 + 2*d**2 + 8*d + 23. Factor a(l).\nAnswer: -(l - 2)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2) - ((-2)\/1 - 1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -39. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.1336.\nAnswer: -0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1789\/6 - -309461\/1038. Let x = -14347\/346 + z. What is the common denominator of x and -65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73390 by 61.\nAnswer: 73390\/61","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516067?\nAnswer: 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2641962*b**2 - 12143449 wrt b.\nAnswer: -5283924*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 44142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1702)\/(-368) - ((-40)\/8 - 2 - -11)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(875))\/(sqrt(135)\/sqrt(3)*1).\nAnswer: -25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1844*x - 379. Is v(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -6. Let i = -21 + s. Let p = -6.000002 + i. What is p rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1427389286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050265 is divided by 84?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254 or -390?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 234.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 2*d - 10*d + 8*d.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 0.55. Let w = -0.41 + a. Let d = 138 + -140. Sort w, d, -0.1.\nAnswer: d, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 343236.\nAnswer: -5\/114412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (-4 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/5*(-15)\/6. Suppose -l = -0*g + g - p, -2*g + 42 = 4*l. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -40*n + 9. Let g = -8 + -8. Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1826481 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4279?\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -635 by -3050.\nAnswer: 127\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(3 - 6) + 7. Suppose 5*n - 26 = -f, -v*n + 6 - 2 = -2*f. What is the remainder when 9 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/(-21))\/(((-2242)\/9499)\/(-19))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458995222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10686+5773622253\nAnswer: 5773632939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/144 + 17*j**5\/60 + j**4\/4 - 27*j**2. Let t(h) be the second derivative of q(h). What is the derivative of t(o) wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 7. Let o be k(-10). Suppose z + 3*s = -3*z - 5, -3*s = -3*z - 9. Let h be z\/((o - -5) + -6). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17756 is divided by 1613.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -44, -97, -172?\n\"Answer: -11*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48, 60, 96, 168, 288?\n\"Answer: 2*z**3 - 2*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, 5*s - 12700 - 935 = 3*w. Calculate the remainder when s is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from {j: 12, z: 6}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r + 2*r)*(3 + r**3 - 3) - r**4 + 2 - 2 + (3*r**2 + 2*r**2 - 3*r**2)*(0 + r**2 + 0) - 2*r**4 - 2*r**4 + r**4 - r - r**4 + r.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.8 (b) 0.48 (c) 0 (d) -291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4776, 4755, 4734, 4713, 4692?\n\"Answer: -21*p + 4797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/((z\/z**(-6\/17))\/z*z)*z)\/z)**20 assuming z is positive.\nAnswer: z**(220\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 - 111*u + 58. What are the prime factors of y(26)?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 154. Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**6 + 20*w**4 - 22150*w**3 + 2*w**2 - 861404*w?\nAnswer: -360*w**3 + 480*w - 132900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqntqqllqq. Give prob of picking 1 t and 2 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 23*p - 30. Let s be h(7). Let i(j) be the first derivative of 7 - 7\/2*j**2 + s*j. Find the first derivative of i(b) wrt b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 411, 1781, 4685, 9693, 17375?\nAnswer: 28301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*i - y, -7*i + 18 = -4*i - 5*y. Solve -i*l + 0 + 0 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-6)\/8 + (-10)\/8). Suppose -4*v + 3*v + 86 = q, -q = k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 10298\nAnswer: -6178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392154.5ms in hours?\nAnswer: 2.05337625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5619 times -2214.91?\nAnswer: -12445579.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 - 197. Suppose 4 = -p - 8. Let o = d - p. Solve -2*x = -5*x - 2*i - 2, i + o = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, h: 1, c: 1, p: 4, u: 1}. Give prob of sequence hp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1240 + -104?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175935958.\nAnswer: 2, 11, 17, 470417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15357, -15331, -15237, -15039, -14701?\nAnswer: -14187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:21 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -46. Let v be (0\/(-2))\/(r + -1). Solve b - 6*b - 5 = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 224, 335, 446, 557, 668?\n\"Answer: 111*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 184*j**2 + 176*j**2 + 6)*(-2*j + 2*j - 2*j**2).\nAnswer: 16*j**4 - 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 + 10241*n**2\/4 - 3416*n - 3415.\nAnswer: (n - 2)*(n + 3415)*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 + 29 = 0. Let m = -10 + 44. Let o = -12 + m. Calculate the lowest common multiple of f and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46664164 equal to -46664164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let c(j) be the third derivative of -1\/12*j**4 + 0 - 5*j**2 + 0*j + 0*j**3. Let a(i) = 5*i. Let o(b) = -3*a(b) - 8*c(b). Calculate o(k(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 843*g - 19 + 39 - 18 to q + w*g and give w.\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -488.847408 + 457.8474. Let p = -31 - f. Round p to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 409*d**4 - 3027*d**4 - 869*d**4 + (-2*d**3 - 2*d**3 + 2*d**3)*(2 - 2 + 2*d).\nAnswer: -3491*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = h - 19, 3*h + 4*q = 1 + 16. Let z = -0.26 - -3.56. Let b = z - 3. What is the closest to -2\/3 in h, b, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(135\/36)*1 - -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*v**4 - 2014*v**3 + 7*v**2 + 911060*v?\nAnswer: -96*v**2 - 12084*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.374547 + 7.42763?\nAnswer: 3.053083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -21.28. Let x = 0.08 + f. Let n = x + 0.4. Sort -2\/11, n, 0.02 in descending order.\nAnswer: n, 0.02, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0058386l to millilitres.\nAnswer: 5.8386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 27. Let d be i(18). Let t = d - -1. Calculate the remainder when 137 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(6\/180). Suppose -w = -a + 2. Let o be ((-2)\/(-4))\/(3\/648). Calculate the highest common factor of a and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 24 - 3*b**3 + b**3 - 10*b**2 + 26 to o*b**3 + y*b**2 + w*b + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*a + 2*u - 17, 2*u + 10 = 2*a. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 168760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*u = -2*u - 36, 0 = -2*u + 7*u - 0*u for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000100 - -11?\nAnswer: 101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -67, -50, -33?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245091967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. Suppose d = 1 + o. Suppose w + d = 3*w. Solve -u - w = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = -4*b. Let n(l) = -6*l**2 - 7*l + 1. Let h(i) = 9*i**2 + 10*i - 1. Let w(x) = 5*h(x) + 7*n(x). What is w(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 259*u - 13. Is g(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, -3, 2.3 in descending order.\nAnswer: 2.3, 0, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + (-1118)\/(-8). Suppose -5*w = -0*w - x. Suppose -10*f - 9*r + 6*r + 35 = 0, 4*r - 16 = 2*f. Solve t = s + 4, f*s + s - w = -5*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1801170*s**2 + 3*s + 6588286.\nAnswer: 3602340*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-8)\/(-60))\/2*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + f**2\/2 + 59*f. Let a(x) = 2*x**2 + 5. What is 3*a(v) - 15*t(v)?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10498.2 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -154.3 * -2\nAnswer: 308.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -30. What is the least common multiple of 27 and m?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(-5\/2))**(1\/18)*l**5\/(l*l\/l**(-4))*l**(-2)*l**4*l*l assuming l is positive.\nAnswer: l**(437\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -19. Let k(l) = -6 - z + 0 + 10*l + 5. Let v(x) = -21*x + 7. Let b(o) = -7*k(o) - 3*v(o). Let m(w) = w. What is b(m(t))?\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 289*q - 3591. What is w(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 0.46.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 17*o**2 + 5*o + 19. Let r be x(17). Suppose r = -2*m + 10*m. Let j = 10 + -5. Solve -j*b = 2*d - m, -2*b + 5 - 2 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -2. Let c be 7 + ((-984)\/(-20))\/(-6). What is the closest to 2 in 2, l, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b, -27332*b = 6*u - 27326*b + 84 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 2 = -38, -3*o + 0 = -2*o + x - 1 - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p + 26. Suppose 433*a - 72 = 409*a. Calculate g(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -1\/3, 1\/6, -13548?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51822831677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 37, 44, 51, 58?\n\"Answer: 7*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*c + 16, -j + c = -4*c - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 3*h + h + 5*h**2. Let l(c) = 2*c. Calculate l(k(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1831?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -158, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -212\/107, -0.4, 0.2?\nAnswer: -212\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*h - 19 = -z, -3*z + h = -20. Suppose -z = 2*x + 3*y, -2*x + 3*y - 14 = 11. Let o be (-12)\/(-3) + 4 + x. Solve -4 + o = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q = 55*q - 4*u + 3716, 0 = -3*q - 5*u - 2795. Let w be q\/(-270) + 12\/(-27). Solve 2*v + 2*p + 6 = 0, 1 = -4*v - w*p - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 521678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4011 - 120271\/30. Let k = 66\/7 - 1987\/210. Find the common denominator of w and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - p + 1, 223*b + 5*p = 227*b + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -1\/4 (b) 396 (c) -547 (d) -3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 2 + 2)*(-3*n + 6*n - 2*n) + (2*n**3 - n**3 - 3*n**3)*(-2*n + 4 - 4)*(n + 0*n + n).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (-4 + 5)) + (-5 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 91*b + 1187. Determine y(-17).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let z(s) = s**3 + 5*s**2 + 2*s + 2. Let d(x) = -5*x**3 - 21*x**2 - 9*x - 9. Let i = -20 - -11. Let h(n) = i*z(n) - 2*d(n). Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482640, -482641, -482642, -482643?\nAnswer: -482644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 341 + 291 = 2*y, -3*t = 4*y + 37 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -84.5. Let w = -46 - l. Which is the third biggest value? (a) w (b) 0.8 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5 - 15. Let k(y) = -s*y**3 + y + 2*y - y**2 + y**3. Calculate k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27991.27 litres in millilitres?\nAnswer: 27991270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20590 and 99\/8236.\nAnswer: 41180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, -9, -25, -41, -57, -73?\n\"Answer: -16*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 3*q + 4. Let i(c) = -c**3 - 12*c**2 - 10*c + 16. Let u be i(-11). Suppose -5*x - 13 = 6*d - 4*d, -3*x = -2*d - u. Is n(d) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 4 + 3 + 11*h)*(h + 0*h - 2*h).\nAnswer: -3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/42)\/(1\/(-3)). Calculate the greatest common factor of 36 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-25) - 1 - 30\/(-375).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1)\/(16 - -1). Let a = 12.8 - 12.3. Sort -2\/3, v, a in ascending order.\nAnswer: -2\/3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/3 + 16*x**3\/3 - 14*x**2 + 67*x - 43. Let m(q) be the first derivative of f(q). Determine z so that m(z) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7 = -3*f, 67*f - 10*t + 13 = 56*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4\/3))\/(a\/a**1)*a**(-4\/7)*a*a**(-2)\/a)\/((a**(-1\/9)*a**(-2\/11))\/(a*a**(-2\/7)*a*a\/(a\/(a**(-3)*a)*a))) assuming a is positive.\nAnswer: a**(-853\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -28*w**3 - 70*w**2 + 140*w + 105. Let x(b) = -b**3 - 2*b**2 + b + 3. What is g(m) - 35*x(m)?\nAnswer: 7*m**3 + 105*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -1 + 5. Let m be 1*-3*1\/1 - -7. Find the second derivative of -s**4 + s**m + 5*s + l*s**4 + 0*s**4 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 443 = -2*a + 25, -2*a + 468 = m. Suppose -7*v = -v - a. Is v not equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 4 - 4)*(3 - 3 + 1)*(-5 + 3 + 4).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*s**3\/3 - 254*s**2\/3 + 171*s - 30.\nAnswer: (s - 5)*(s - 3)*(31*s - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 31\/13451?\nAnswer: 31\/13451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18630 and 1449?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3076787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5405158*l**3 + l**2 - 454064*l - 4 wrt l.\nAnswer: 32430948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -33. Calculate the greatest common factor of 104 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0586 + -0.2586. Which is the nearest to g? (a) 0.1 (b) 0.013 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19999.51163 rounded to the nearest 10?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11577, -22186, -32795, -43410, -54037, -64682?\n\"Answer: -u**3 + 6*u**2 - 10620*u - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -29*c**2. Let v(y) = -5*y**2. Determine i(v(t)).\nAnswer: -725*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1578*u**2. Let g(x) = -24706 - 3*x**2 + 24706. Determine g(l(d)).\nAnswer: -7470252*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 847044 rounded to the nearest 10000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 168 - 416. Sort u, -4, -5, -3 in increasing order.\nAnswer: u, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 12\/8)*2. Let a = -5.2 - -1.2. What is the smallest value in a, 3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16769093853 and -18?\nAnswer: 16769093871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(77) + sqrt(77)*-2)*-3 + (4*sqrt(77)*1 - sqrt(77)))\/(sqrt(77)\/(sqrt(55)\/sqrt(5))*-4)*5.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -7*m - 3516 = -3586. Solve m = 3*h - 2*i - u, -3*h - 10 = 2*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, 2, 0, -1, -15 in descending order.\nAnswer: 220, 2, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 410*a**2 + 72*a + 45. What is the units digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4682 + 3.403.\nAnswer: 4685.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4888049 divided by -5.\nAnswer: -4888049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.44253 + 0.19741796.\nAnswer: 19.63994796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1674\/21 - (-4)\/14. Suppose 3*k + k - p = 0. Solve 0*r + k = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Factor -q*j**2 + j**2 + 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130b (base 15) to base 14.\nAnswer: 16a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*r + 3260 + 6960 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/9 - 7733\/981. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*p + 925, -f - 659 = -3*p + 11. Is p equal to 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15246\/29 or 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-42) - 4\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -86, 18 in decreasing order.\nAnswer: 18, 1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6305.701mm?\nAnswer: 6305701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4010 divided by -10.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157905 + -4?\nAnswer: -157909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -19*d**3 - 3. Let s be j(-3). Suppose 5*p - 4*y + 7*y = 640, -s = -4*p - 2*y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2\/5, 4\/103?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18062, 18197, 18412, 18701, 19058, 19477, 19952, 20477?\n\"Answer: -s**3 + 46*s**2 + 4*s + 18013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 9*l**2 - 9*l - 10. Let f be s(-10). Let d be 7\/((-105)\/6) + 752\/f. Let x = d + 53. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0179 in 0, 3\/2, -181, -4\/9, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2407 (base 8) to base 4.\nAnswer: -110013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 0.26.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*o = -c - 1, -o - 3*c = 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 67*h - 72*h + 139*h.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:18 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + 1. Let i(c) = -c**2 - k*c**3 - c**2 + 4*c**3 - 6 - 3*c**2 + 7*c. Is 10 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -105. Let w be ((-3)\/(-3))\/(1\/40). Suppose -2*o + w = -18. Calculate the greatest common factor of o and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2*n - 30, 27*n - 21 = 3*o - o - 35*n + 57*n + 9 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -2*d**6\/105 - 6*d**5\/35 - 3*d**4\/7 - 8*d**3\/21 + 3*d - 36. Factor p(g).\nAnswer: -4*g*(g + 1)**2*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8 - 20. Suppose 5*p = y*p - 1298. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:04 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 123?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {j: 8, r: 7, f: 5}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 14840 - 10864 = 0. What is the highest common factor of 7344 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-20 - 7)) + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*l + q, -5*l + l - 4*q = 0. Suppose -l*c - 35 = -110. What are the prime factors of 263\/5 + 6\/c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -14*r**4 + 738*r**3 + 968*r**2 + 216*r = 0.\nAnswer: -1, -2\/7, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18590 and 676?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 10:32 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185770?\nAnswer: 2, 5, 13, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:47 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.4 - 493.4. Let y = 418 + l. What is the biggest value in 0.4, 11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*a - 135022138 + 135022104, s - 2*a = 10 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2\/5, -11\/3, 2\/23, -2\/11 in ascending order.\nAnswer: -11\/3, -2\/11, 0, 2\/23, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 1 = -r + 3*t, -10 = -4*r - 2*t. Is (-15)\/(-25)*(72 - r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -24. Let m(w) = -220*w + 17. Let o be m(p). Suppose v - 541 = -3*t, 4*v + o = 5*t + v. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10485 or -10480?\nAnswer: -10480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*t + 8, 7*t + 7*t = 2*p - 38 + 122 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -201?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280661262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/415 and 56\/8236505?\nAnswer: 8236505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3733 - 29863\/8. Let f(d) be the third derivative of 1\/3*d**3 + 0 + 1\/60*d**5 + 0*d + 6*d**2 - y*d**4. Let f(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/48 + (-119)\/((-61880)\/195)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19*u**2 + u. Let s be n(-1). Let v(z) = -z**2 - 5*z + 2. Let y be v(-6). Let g = y + s. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(5))**2 + sqrt(80) + -5.\nAnswer: 4*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 divided by -3?\nAnswer: -1601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 2, -2 in decreasing order.\nAnswer: 84, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -252 in increasing order.\nAnswer: -252, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/7)\/((-6)\/4). Let y = 50.4666 - 50.5. Let j = -0.0934 - y. Sort 1\/2, l, j, -2 in decreasing order.\nAnswer: 1\/2, j, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -86 + 8494\/155.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*62\/155?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 453956, 453945, 453928, 453905, 453876, 453841, 453800?\n\"Answer: -3*d**2 - 2*d + 453961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*j + 128*j - 38*j)*(4*j**3 + j**4 - 4*j**3) + (0*j**3 + j**3 - 3*j**3)*(-2*j**2 - 3*j + 3*j).\nAnswer: 198*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5.4. Let c = 0.4 - q. Let m = 0.1 - 1.1. What is the smallest value in 1\/3, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 649, 655, 661, 667, 673?\n\"Answer: 6*b + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 10*v + 2. Determine a(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -241, -363, -485, -607?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 5 (b) 8 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1906812 by 105934.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*(((y*y\/y**(1\/8))\/y)\/y)\/y)\/(y**(-3\/4)\/y*y**6) assuming y is positive.\nAnswer: y**(-317\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(9)*-5 - 4*2*sqrt(9))*-6)\/((sqrt(6) - (-2*sqrt(216) + sqrt(6)) - sqrt(6))\/(sqrt(12)\/(sqrt(96) + sqrt(6)))))**2*6.\nAnswer: 2592\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l. Let p(r) be the second derivative of -r**3\/6 + r. Let t(y) = 11*p(y) - 2*x(y). Calculate t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5*a - 3*a + a + a + (0*a + 4*a + 0*a)*(-2 - 2 + 2))*(-3*a**4 + 2*a**4 - 3*a**4).\nAnswer: 56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:22 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 139. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let x(f) be the first derivative of -3*f**2\/2 + 2. Give v(x(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 4. Let z(n) = -36*n - 26*n - 3 - 23*n + 88*n. Let a(o) = -4*l(o) - 5*z(o). Determine a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -4 + (-10604)\/(-16). Let i = -639 + m. What is the common denominator of -38\/39 and i?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*g + 42 - 12 = 0, g = 5. Let o(q) = -12 - 3*q**2 + 0*q**2 + 2*q**2 + 10*q. Let y be o(l). Solve 23 - 7 = -y*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64303819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 + 6*k**2 + 134*k - 429. Suppose -5*x = -5*p + 163 - 23, 4*p - 94 = -2*x. Calculate the remainder when s(3) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*h = -117, l + 13*h = 14*h + 121. What is the greatest common divisor of l and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**5 - 1313737*w**4 - 408*w**2 + 864*w - 2?\nAnswer: -240*w**2 - 31529688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, w: 2, r: 3}. What is prob of sequence rr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**5 - 5*l**4 + 5*l**3 + 4*l. Let y(t) = -6*t**5 - 4*t**4 + 4*t**3 + 5*t. Let f(b) = 4*k(b) - 5*y(b). Find the second derivative of f(w) wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:38 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5247 + -31375\/6. Find the common denominator of t and (-1)\/2 - (-15)\/(-165).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6983537 divided by -83?\nAnswer: 84139","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: ((-796)\/(-7761))\/(6\/13)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009579432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoff. Give prob of sequence of.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 582\/18)*(-81)\/5049 - (-21)\/77\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 121. Let l = -28.7 - -29. What is the second smallest value in l, y, -2\/11, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/116 - 215\/1972. What is the closest to 0.1 in 0.3, 4, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(108)*-1)**2 + sqrt(15)\/(sqrt(80) - (sqrt(80)*-2 + sqrt(80))).\nAnswer: -324 + sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001111011100010111111?\nAnswer: -1001111011100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 45 = 2*m. Is (395\/m)\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 = -32*o + 98. Suppose 0 = 6*x - 801 + 405. What is the remainder when x is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -69*u**3 - 19*u**2 - 152*u - 1889. Let a(q) = -69*q**3 - 17*q**2 - 133*q - 1890. Let c(h) = 8*a(h) - 7*j(h). Find the first derivative of c(t) wrt t.\nAnswer: -207*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**3 + 3*c**2 + 10*c - 5. Let i(z) = -z**3 + z**2 - 3. Let a(y) = 2*i(y) - m(y). Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-204))\/(2\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1855, -1863, -1871?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 95?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/8 + 3*g**3\/2 - 3*g**2. What is the remainder when t(-14) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -3, -150, -4\/3, 1.8 in decreasing order.\nAnswer: 2.9, 1.8, -4\/3, -3, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/7 - 3168*o\/7 = 0 for o.\nAnswer: -1584, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**3 + 7*y**2 + 117*y - 48. Let v(h) = -8*h**3 - 8*h**2 - 116*h + 56. What is -6*v(u) - 7*w(u)?\nAnswer: -u**3 - u**2 - 123*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - v - 318. Let h(u) = -3*u**2 + u + 318. Give 5*f(i) + 4*h(i).\nAnswer: -2*i**2 - i - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*o - 70*o - 79*o - 119*o + 2*o**3 to u*o + h*o**3 + g*o**2 + f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 51.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8360 and 304.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18737 - 116?\nAnswer: -18850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.323 + -18.107. Round k to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -9) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338995 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u + 492. Let l = -72 - 9. Let o = u + l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -s*y + 15 - 5 = 0. Solve -a + 4 = -y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 15 + 50 - 15 - 4*i - i + 4*i + (3 - 2 - 2)*(5*i - 3*i - 4*i) + 3*i + i - 3*i.\nAnswer: 3*i + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11.7919cm?\nAnswer: 117919000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -12*d + 96. Solve 7*c - 10*c = -d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3589859 is divided by 5885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4713467.\nAnswer: 11, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 97, 79, -13, -203, -515?\n\"Answer: -4*q**3 - q**2 + 63*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466551461.\nAnswer: 466551461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -500, -502, -496, -476, -436, -370?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 2*c**2 - 10*c + 12. Let q be z(-4). Solve 3 = q*g + 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45502 by 93.\nAnswer: -45502\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - 7*m - 15. Let p be i(8). Find the second derivative of 12*s**5 + 85*s**5 + p + 23*s - 505 - 23*s**5 wrt s.\nAnswer: 1480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 118 = -4*h, 3*o = h + 3*h + 167. Solve 45 = 4*y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 497689997 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26456*r + 294*r**2 + 26456*r - 7*r**3.\nAnswer: -7*r**3 + 294*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 18. Let o(b) be the third derivative of b**4\/8 - b**3\/6 + b**2. Let y be o(1). Is y at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 f when three letters picked without replacement from {f: 10, d: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1. Let f(t) = 3*t + 4. Calculate -f(o) - 2*n(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let o(w) = 72*w**2 - 12. Let c(f) = -4*f**2 - 1. Let s(u) = 12*c(u) - o(u). Calculate z(s(h)).\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(1000\/48)\/(-25)*47\/(-1410)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100011111011000100101 (base 2) to base 10.\nAnswer: -9565733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279474 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664151125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 265 + 381. Let f be (1\/4)\/(9\/(-2 - m)). Let w(i) = 7*i**3 - i**2. What is w(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749 is divided by 914.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/20*8)\/(5*5\/(-125)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 155035036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0)*1*9\/126.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12453895.99999972 + -12453889. Let j = 1.8 - 8.8. Let t = j + l. Round t to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1997\/9 or -1\/13?\nAnswer: 1997\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**2 - 31*r - 6. Let d(a) = 30*a**2 + 63*a + 11. Let b(j) = 6*d(j) + 13*t(j). Factor b(m).\nAnswer: -(m + 12)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 - 2*t**2 - 3*t - 3. Let f(d) = 14*d**3 - 6*d**2 - 8*d - 8. What is -3*f(g) + 8*z(g)?\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 15. Let g be (-2)\/(-4) + 38\/4. Suppose -8 - g = -t*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(125) + -1 + 0)*4*-5)**2 + -5 + -5.\nAnswer: -4000*sqrt(5) + 50392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 - 216. Put -3, 9, w in decreasing order.\nAnswer: 9, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 706598 = -4*f - 4*h, -4*f - 3*h + 706582 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Let k be 2\/3 - 80\/12. Let l = -3 - k. Sort -5, l, s in descending order.\nAnswer: s, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 115577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10*(7\/140*-4)\/(462\/(-105))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let u be -4 - -42*a\/3. What is the tens digit of 2\/3 - (-704)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 3*s. Let k(p) = 83*p**2 - 241*p**2 + 77*p**2 + 78*p**2. What is f(k(i))?\nAnswer: -27*i**4 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275.7, 1.6, 14, 1 in ascending order.\nAnswer: -275.7, 1, 1.6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 17983022*a**2 + 58 - 17983182*a**2.\nAnswer: -160*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**2*z + 138*g**2 + g - 3411824*z + 499673 wrt z.\nAnswer: 6*g**2 - 3411824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1982 - 1964. What is the least common multiple of 1455 and w?\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 0*i + 110 = 0. Let j(p) = -15*p. Is j(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -3 + (sqrt(6)\/sqrt(192))**2)*-1.\nAnswer: -7*sqrt(2) + 95\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -156994447\/10 and -15699444 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*y - 3, -5*y + 8 = v - 4*v. What is the nearest to -1 in -0.1, v, 13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 132292660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -0.04, -0.1, 1\/3 in increasing order.\nAnswer: -15, -0.1, -0.04, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2326*w**3*z**3 + 394*w**2*z**3 + 2*z**3 wrt w.\nAnswer: 13956*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 398*l - 1966. Let u be t(-5). Which is the smallest value? (a) 8 (b) u (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -20. Let z = -60 + o. Let t(x) = -x - 5. Let g be t(-6). Solve 0 = 3*d + 3*j, -z*j = g - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let x(z) = -z**2 + 2*z - 1. Suppose -4*r + 10 = r. Let m be x(r). What is g(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200122 (base 3) in base 16?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 11 = 4*r, 2*r - 5*k - 11 = 0. Let z = -14 + 17. What is the derivative of -r + 2 + 4*f**z - 1 + 4 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*r**2 - 252*d*r**2 + 1845*r**2 wrt d?\nAnswer: 2*d*r**2 - 252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5990 + 0*h - h + 1965 + 1995 + 1992.\nAnswer: -h - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11472 - 11469. Let p(t) be the second derivative of -t**3\/6 + t**2\/2 - t. Give p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31992051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73407.\nAnswer: 3, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*g - 2972 = -0*k, 0 = 5*g - 25. Solve k*m + 6 = 991*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -26*d + 8. Let m(v) = -9*v + 3. Calculate 4*a(i) - 11*m(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9306424 millennia to centuries.\nAnswer: 9.306424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**3 + 4*j**2 - 19*j + 13. Let n(r) = -r**3 + r. Let m(g) = 4*n(g) + t(g). Let d(a) = a**3 + 2*a**2 - 7*a + 6. Give -13*d(b) + 6*m(b).\nAnswer: -b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*m = 606, 8 = m + 3*m. What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22164942*d**3 - 21470*d**2 - 2*d - 2 wrt d.\nAnswer: -132989652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*z - 243 = 0, 27*j + 248 = 32*j + 3*z. Which is the second biggest value? (a) j (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/553, -0.4, -9.\nAnswer: -9, -0.4, -2\/553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5424, -44334, -150184, -356442, -696576, -1204054, -1912344?\nAnswer: -2854914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 - 50*v + 5. Let z be (-28)\/112 - (-9)\/4. Suppose 3*o - 51 = 6*h - 4*h, 2*o + z = 0. Let m be p(h). Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.4, -1, -2\/81, 124, 11.\nAnswer: -1, -3\/4, -2\/81, 0.4, 11, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 1 - 2*o + 1)*(797 + 770 - 1554 - 167*o) in the form k*o + b + d*o**2 and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-3*sqrt(99) + -3)*-5 - (5 + sqrt(99)*1 + (2 + sqrt(99))*3)**2) + 0).\nAnswer: 1314*sqrt(11) + 10140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71437435.\nAnswer: 5, 19, 73, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10321 (base 4) to base 13\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 16 = -7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4313 (b) -0.07 (c) -5\/2 (d) 1.9 (e) 1\/5 (f) -4\/9 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -3. Is 127 - 0\/(-1 + v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 + 3 + 1 - 6 - 15*g**3.\nAnswer: -15*g**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -2, 0, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103666700 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 943096799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 312981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/68 and 33\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k. Let l be w(-1). Let x = 7 + l. Solve -h + x*h + 4*c = -13, 4*h + 5*c = -11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.1, -786\/119?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)**(1\/14)*(j\/j**(-7))\/j*j*j*j*j**(-1\/4)\/j assuming j is positive.\nAnswer: j**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h - 9. Let k be n(0). Let o be 1318\/k*(-6740)\/(-1360). Let y = -6548\/9 - o. Calculate the common denominator of y and -1\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152.7502266 - -215.7502235. Let n = 62.851 - -0.149. Let m = n - u. What is m rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 3, f: 3, h: 7}. Give prob of picking 1 f and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v**3 + 6*v + 10. Let c be x(-3). Let i = -118 + c. Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2364 = 11*g + 956. Let o be g\/252 - 4\/14. What is the second smallest value in -5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = -256. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.65 (b) -18204 (c) -0.4 (d) 0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - f = -4*c - 8, 3*f = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -7, 986, 2, 10, 4 in ascending order.\nAnswer: -7, -4, 0, 2, 4, 10, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114710393 - 685988507\/6. Let o = 379823 - d. Let r = o + -829. Find the common denominator of r and 47\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1.5. What is the second smallest value in 4\/9, z, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 2818?\nAnswer: 2817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3*y + 3*y + 15*y + 42*y - 12*y - y - y + 0*y + (-1 + 0 - 1)*(-4*y - 2*y + 4*y) + 0*y - 2*y + 4*y.\nAnswer: 53*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-602)\/(-172)*((-3)\/1)\/((-15)\/(-20))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182047792*z**2 - 397630*z + 203 wrt z.\nAnswer: 364095584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 13 = -2*q - 11*b, q = 2*b + 2. Let x(l) = 5 - q + 1382*l - 1381*l - 19*l**2. Determine x(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p + 17. Let j be g(-9). Let b be -68 + 61 - 148*j. What is the highest common factor of 47 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/5, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 2, p: 1, m: 3, y: 3}. What is prob of sequence fm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = -11*k + 10*k + 84 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 3*x - 529. Solve 99*j - 66 = x*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14301 + 14463 = 9*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85129, 32, 58, -5 in descending order.\nAnswer: 58, 32, -5, -85129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {q: 1, d: 1, g: 2, f: 6, c: 2, k: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100300 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3134 less than -0.001?\nAnswer: -0.3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55)*-1)\/(-2*sqrt(20) + sqrt(5)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 19*f - 42. What is s(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 times -4\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h - 4 - 49 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c**(-2\/5)*c**1)\/((c*c\/c**4)\/c**(-6)))**41)**(-18\/7) assuming c is positive.\nAnswer: c**(1476\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797488?\nAnswer: 2, 49843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:31 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -169*a**2 - 9*a. Let b(h) = 42*h**2 + 2*h. Let x be (3\/(-21) - -1) + (-140)\/147*3. What is x*p(k) - 9*b(k)?\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 1\/60*k**5 + 0*k**3 + 4*k**2 + 0*k - 1\/60*k**6 + 0*k**4. What is the third derivative of y(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16322 - -16317. Which is the fourth biggest value? (a) 2 (b) 0.3 (c) -21 (d) -2\/7 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-30))\/((-1)\/(-3)). Let i be 7\/p + 1\/(-2). Suppose t = i*t. Solve -y + t = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7))**(10\/3)*(z\/(z*z**(1\/3)))**(-2\/151) assuming z is positive.\nAnswer: z**(7564\/3171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*c + 2*j + 12, 0 = -3*c - j + 4. Let g(x) = c*x + 0*x - 1 + 2 - x. Let m be g(2). Let t(s) = -s**3 + 3*s**2 + s + 3. Determine t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 143 = -9. Is 19 a factor of 2\/(((-8)\/b)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, y: 1, w: 10, d: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 12:50 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/11 - 14834*i**2\/11 + 29654*i\/11 + 44490\/11 = 0.\nAnswer: -1, 3, 7415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 7*j + 16, 0 = -3*n - 4*j + 10 + 20 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 16*s**2 - 38. What is x(7)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*3*((1088\/(-51))\/4 + 2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1887 + -1882. Solve -4\/9 - 4\/9*q**4 + 8\/9*q**2 + 4\/9*q**s + 4\/9*q - 8\/9*q**3 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*y + 2377 - 2352 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**6\/60 + 7*x**5\/20 - 9*x**4\/2 - 127*x**3\/6 - 133*x**2\/4 + 1574*x. Solve f(r) = 0 for r.\nAnswer: -19, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 211*u = -4324 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let d = 8 + -13. Let q be 0*1\/3 - d. What is a(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 8562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 - 207*k**4 - 2*k - 271 wrt k?\nAnswer: -40*k**3 - 2484*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*r = 264*r + 357*r - 11594 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 35816 divided by 17908\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Suppose o*t - 97 = 107. What is the remainder when (-902)\/(-9) + 2\/(-9) is divided by t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 17*k + 26. Give x(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.33 rounded to zero decimal places?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*m - 10*m. Suppose m*w + 459 = 6*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95623\/8 + 11902. Let z = 51 + t. Let s = -1.1 - -0.1. What is the biggest value in s, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = -33*t + 71*t - 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13655, 27338, 41021, 54704?\nAnswer: 68387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17539 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -51, -6, 4 in ascending order.\nAnswer: -51, -6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -404*j**3*k*l**2 - 128*j**3*k - 88*j**3*l + 4*j**2*k*l - 4620*j*k*l**2 - 5*j*l**2 wrt l.\nAnswer: -808*j**3*k - 9240*j*k - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 + t + 1. Let b(j) = -3*j**3 - 51*j**2 + 3. What is -b(r) + 2*k(r)?\nAnswer: r**3 + 61*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + 6*r - 3. Let b be j(7). Let z be ((-18)\/4)\/(5\/b). Find the second derivative of 9*m**3 + z*m**3 - 29*m**3 - 7*m wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g - 12161. Let l(i) = 268*i. Give l(x(m)).\nAnswer: 1340*m - 3259148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*-2*sqrt(77) - sqrt(77) - sqrt(77) - -6*sqrt(77)*-1)\/((sqrt(196)*2)\/(sqrt(7) + sqrt(7) + 1*sqrt(847) + sqrt(7))))**2.\nAnswer: -80850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = f, -152*q + 104*q + 138 = f - 2*f - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 160. Let z be q(-26). Sort -4, z, -12.\nAnswer: -12, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3366 (b) 11 (c) 0.1563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m**2 - 87*m + 96. Give f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 6*x**2 - 5 + (33*x - 11*x - 23*x)*(2 - 1 - 4)*(-2*x - x + 2*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - 91*o**3 + 3*o**2 + 90*o**3 to the form b + l*o**2 + j*o**3 + m*o and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 8, -0.2, -327, -54?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -1 - 0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 + 633. Let f = 375 + -381. Is ((-15)\/f*m)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 15*o**2 - 55*o + 24. Let y be k(-5). Solve -y = 9*l - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283 is divided by 1408?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**2 - t + 0*t**3 - 1\/5*t**6 + 0*t**4 + 0*t**5 + 0. Differentiate j(i) wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9580321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180? (a) -5 (b) -1\/4 (c) 5 (d) -3 (e) 1474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000202202002012 - 22?\nAnswer: 1000202202001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 34*b**2 - 264*b - 5. Let u be q(-22). Put -168, -7, u in ascending order.\nAnswer: -168, -7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4694595.52 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -411*l**3*z**2 + 3*l**3*z + 6176*l**3 wrt z.\nAnswer: -822*l**3*z + 3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279837?\nAnswer: 7, 325691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) + 1\/1. Let u = 0.1124 + 0.3876. Let k = -27 + 28. Sort b, u, k, -4\/5 in ascending order.\nAnswer: -4\/5, u, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.4435 + 21305268?\nAnswer: 21305329.4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1be68 (base 16) to base 4.\nAnswer: -123321220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/8*(-14)\/(-2). Let u be (-4)\/b + (-2)\/7. Suppose 2*v - 6*v + 84 = u. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257355 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k + 2. Let o be m(-4). Suppose -a - 4*p = -21, -a + 8 = o*a + p. List the prime factors of (2\/(-6))\/(a\/(-105)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((4\/((-80)\/14))\/((-714)\/1224)*15)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 + 3 = -3*n, 2*n = w + 1. Suppose -2 = a - 0*o + o, 10 = 5*a - 5*o. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 198*m**4\/7 - 18510*m**3\/7 + 8926*m**2\/7 + 190*m\/7 - 372\/7 = 0.\nAnswer: -2\/11, 1\/3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 3. Let r be 1\/3*(-18)\/(-3). Let f be w(r). Let y(x) = -x**2 - 10*x + 1. Is 22 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -25 + (-20 - -24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b - 14. What is the smallest common multiple of (-66)\/(-10) - b\/(-15) and ((-8)\/6)\/((-6)\/45)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 80049.\nAnswer: 80048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 7*j**2 + j + 10. Let i be x(6). Let g = i + 40. What is the remainder when 53 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h - 2. Let f(c) = -2*c**3 - 2*c + 3. Give -3*d(b) - 2*f(b).\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*u - 3 = -5*r, u = -r. Let s(t) = t + 1. Calculate s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -3, 0 in descending order.\nAnswer: 3, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 18*n + 4. What is the least common multiple of (-1 - (1 + -8)) + -1 and g(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*v**3 - 133*v**3 - 93*v**2 + 2*v - 2*v**2.\nAnswer: 111*v**3 - 95*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6551981 by -1.\nAnswer: 6551981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k + 16*k - 5 - 44*k to the form j + p*k and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let g be n(1). Let b be (g\/(-2)*20)\/(-2). Suppose -3 = -3*i + 4*i. Sort i, b, 5 in descending order.\nAnswer: 5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23918*j + 71881. Calculate t(-3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 44*m**2 - 1. Let w(j) = -6*j**2 - 52590*j + 52590*j. Give c(w(o)).\nAnswer: 1584*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 - 6*g**2 - 7*g + 3. Let x be q(-9). Suppose 22 = 3*n - x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 444575448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -760906690 - 63466.8\nAnswer: -760970156.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1089, 1121, 1155, 1173, 1157?\n\"Answer: -3*v**3 + 19*v**2 - 4*v + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-19)\/(323\/(-119))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + 2*j, 0 = r + 3*j - 16 + 4. Suppose 0 = -0*m + m - r. Let p(c) = -c - 5. Let w(i) = -2*i - 11. Let b(s) = m*p(s) - 4*w(s). Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -7, -18?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*m + 664 = -165*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-168)\/(-135))\/2)\/(((-432)\/(-324))\/((-30)\/9)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10.885 * -20622\nAnswer: -224470.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:17 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 71) + (-30 - -7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1384.14 - -1370. Let u = -12.8 - b. Round u to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 18. Let a be b(-9). Solve -1 = -4*o - 5*s + 2*s, a = 4*o - 3*s - 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*o**3 - 3916*o**2 + 446916*o - 222480 = 0. Calculate o.\nAnswer: 1\/2, 180, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 76 - 75 = -7*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h - 66000000. What is h rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/13)\/y**(-2\/3))\/(y*y**(1\/12))**(-25))**(-9) assuming y is positive.\nAnswer: y**(-13095\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 3 - 1 + 8. Let p(k) be the second derivative of -1\/3*k**3 + 0 - 5\/2*k**2 - 4*k. Determine -5*d(w) - 4*p(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -9*c + 581. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -115*t**4\/8 + 281*t**3\/6 + 12*t**2. Let i be j(7). Round i to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i. Solve i = u + 2*d + d + 17, -u + 2*d = -3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ggggssgogosgoo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15915 + 30465. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5590099926 to two dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105081 + -105081.00000081381. What is u rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {c: 7, k: 2, s: 2, b: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 + 4*r - 162.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41881 = -883*d - 9070 - 6964 - 1246 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 22*n - 4 = -3*w, 11*n = -3*w - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 7*y. Let k be v(4). Let m(b) = 7*b. Let n(u) = -6*u. What is k*m(f) - 5*n(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*u - 2792*u - 409*u - 2982*u.\nAnswer: -6301*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = -30. Suppose -s + 6 = a. What is the tens digit of 1\/((-56)\/60 + s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 230706945*v + 230706946.\nAnswer: -(v - 230706946)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5485 + 2106. What are the prime factors of y?\nAnswer: 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**4\/8 - 6*c**3 - 24*c**2. What is the least common multiple of 7 and g(-13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 374 - 144. Let a = -38 + x. Let y = -4 + 11. What is the highest common divisor of y and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24c + -836?\nAnswer: -a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfd when three letters picked without replacement from {f: 5, d: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 44386995?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/19)\/((-6)\/((-68)\/(-12) + -7))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 42*q = 12*q. Solve q = 85*x - 89*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2136*h + 2129*h = 81, 0 = -3*o - h - 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66136*q + 6*q**3 + 66136*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m. Let v(x) = x**3 - 9*x**2 + 7*x + 10. Let h be v(8). What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {e: 3, v: 4, f: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggcq. Give prob of sequence qc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5599 divide 5546167836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 94*l - 1676. Let o be x(-110). Let j = -51 + 93. Calculate the greatest common divisor of j and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23579 is divided by 23060.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(6 + -9) - -7. Let v = 33.9 - 37. Let a = v - -3. Are a and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-8)\/240*-12). Suppose -6 = -4*v + 3*w - 28, -3*v - 5*w - 31 = 0. Let q = c - v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 2226. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 + 9*v + 2. Let r be c(-1). Let d(h) = 3*h**2 - 1. Give d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.8, 5\/9, 0, -38 in decreasing order.\nAnswer: 7.8, 5\/9, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/28, 3\/4, 1\/2, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 + -90. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/8 - 11*q**3\/6 - 4*q**2. Let i be g(-9). Let z = 53 - i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637.905mg in grams?\nAnswer: 2.637905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-14))\/((-52)\/91)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 3*d + d + 2*d. Suppose 0 = 4*l - 12, 5*s + 2*l + 2 = 48. Let i(j) = j - 7*j + s*j. Determine h(i(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/49 - (-1)\/7. Is 0 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.50065 from -206.\nAnswer: -206.50065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/189 - 75\/189*-2. Sort 4\/3, 57\/5, s in decreasing order.\nAnswer: 57\/5, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqxqqrqzqmzrraqrraxq. Give prob of picking 1 r and 1 x.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(1755\/240)*(-3)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. What is the third derivative of -3*f**2 - f**g - f**2 + 4*f**3 wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4137, -1.26, 0.53.\nAnswer: -4137, -2, -1.26, 0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5967 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -58. Let z be 16\/16*(0 - -53). Let v = j + z. Calculate the highest common divisor of v and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98540250 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/3 - (6420\/(-90) + 56)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/15 + 32\/15. Let h be ((-30)\/(-210))\/((-1)\/4). Which is the nearest to 0? (a) 1\/3 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 19. Let d(s) = -s**2 + 9*s + 10. Let w be d(p). Solve -4*t + w = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y**2 + 7*y - 4. Let l(o) = -9*o**2 + 5*o - 3. Calculate 7*l(g) - 5*z(g).\nAnswer: 7*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((9 - (-11 + 5)) + -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*n = -x + 10, 2*x + 5*n = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p - p)*(3457 + 4227 - 2765) - 2*p**2 + 2*p**2 - p**2.\nAnswer: 4918*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2295)\/(-68))\/(19*38\/2888).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10101203 and 86721?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -27. Let m(a) = 16*a**2 - 7*a**2 - 3 - 8*a**2 + 5*a. Give m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 211*t - 214*t + 69. Let h(p) = p - 8. Let j = 9 + 2. Let n be h(j). Solve x = q - 4, 3*x + x = -n*q - t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/(t*t**6*t))*t)*t\/(t\/t**1*t*t)*t*t*t*t**6*(t**3*t)\/t*t assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002491 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m + 4. Let z be j(-6). Let o = z - -71. Calculate the remainder when 130 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**2 + y + 8. Let f be c(-3). Let o = f + 69. Let g = 5 - 8. Sort o, g, -5.\nAnswer: -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101022201 (base 3) in base 12?\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 15. Let b = 3 - z. Let p be 3\/12 + 3\/(-12). Solve -b = -2*a - p*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o + 147*o + 35*o + 125*o - 9*o as z*o + h and give z.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -6.\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 9. Let o be f(7). Let q = 1 - o. Suppose 0 = 5*z - 10, q*x + 6*z = z + 25. Solve x*t + 3 = 2*v - 0*t, -3*v - 1 = -2*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.74 <= 616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 4*u - 1. Let h = 6 + -1. Let p be r(h). Let m be (-1 - -2) + -8 + 3 + 6. Solve -p*n = 18 - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 361*f**3 + 298053*f**2 + 1374648*f + 1589456 = 0. What is f?\nAnswer: -821, -44\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 324 = 9*f - 10*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 17*b**2 - 421 + b**3 + 421 - 10*b = 0 for b.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17083348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:08 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 1. Let t(f) = -2*f + 1. Let i(w) = -5*w + 103. Let d be i(20). Determine d*t(z) - 4*j(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 3. Let i = 0 + -0.1. What is the second smallest value in i, -1\/2, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 108 (b) 2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/5)\/(-2*(-2)\/220). Let y(r) = 4*r + 7. Let f(n) = -7*n - 14. Determine v*y(q) + 6*f(q).\nAnswer: 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*110848967.\nAnswer: 22169793.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Suppose 3*b - 100 = 5*p - 0*p, 0 = p + 5. Let v(t) = 40*t - 22*t + b*t. Calculate v(g(w)).\nAnswer: 86*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3 - 2 - 7 + 5 + h**2 - 3*h + h**2. Calculate the least common multiple of 215 and l(-2).\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away 178.826447?\nAnswer: -178.706447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994789492 - 9.4.\nAnswer: 994789482.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1329*b - 4758*b + 365220 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i - 3*d = 78*i - 3, 5*i - 3*d = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*s**3 - 65*s**3 - 79*s**3 + 2 - 43*s**3.\nAnswer: -35*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.5271422724332 and -3.\nAnswer: -7.5271422724332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 102. Suppose 0 = 3*g + o - 517. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6197*y - 6199*y + 4*j - 112 = 0, -j = 10*y - 28 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 6*d + 15. Let y be h(7). Suppose y*g - 4194 + 1330 = 0. List the prime factors of g.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-84)\/15)\/(4 - 728\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z**2. Let j(o) = -35*o - 44. Let w(m) = -12*m - 16. Let g(q) = -4*j(q) + 11*w(q). Determine u(g(b)).\nAnswer: -640*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-279)\/(-54)) + (-62)\/(-12). Suppose -2*a - o = -7*a + 42269, -4*a - q*o = -33792. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(8\/(-392))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfwfqqqwwwfwqw. Give prob of picking 1 q, 2 w, and 1 f.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8354008 + -4993008. Round q to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59934626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-31 + -2)*(-1)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 - 57*h - 1 + 27 + 16*h wrt h.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11864834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 16*x**2 - 4\/15*x**5 + 0 + 0*x**3 + 0*x + 5\/4*x**4. What is the second derivative of l(q) wrt q?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 3, y: 2, e: 5}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4534 = 16*y - 10442. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 50. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2 - sqrt(117)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + sqrt(77)*2*2))\/(sqrt(77)\/(1*sqrt(11) + sqrt(11) + sqrt(11) + sqrt(11))).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let z = 0 + -3. Sort z, 0, l in decreasing order.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -147 (b) 22 (c) 0.2 (d) -6 (e) -5 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + m)*(-3*m**2 - m**2 + 5*m**2) - 6*m**3 - m**3 + m**3 + 3*m**3 - 4*m**3 + 2*m**3 - 19*m**3 - 11*m**3 - 42*m**3.\nAnswer: -75*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 2*s**2 + 2*s**2)*(-4*s + 0*s + 3*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1 - (0 + -1). Let x = -236\/3 + 78. Let d(n) = -n - 5. Let k be d(-5). Which is the closest to x? (a) k (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4297 = -604*r - 58*r - 8281 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144808 times -5?\nAnswer: -0.72404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/6825 and -2\/273?\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, 3\/5, 48?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25594 divided by 67.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668 = 94*y - 540 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113928637, 113928639, 113928641, 113928643, 113928645, 113928647?\n\"Answer: 2*u + 113928635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5890?\nAnswer: -1\/5890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5874177 millilitres to litres.\nAnswer: 0.0005874177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 667, 1517, 2707, 4237?\n\"Answer: 170*u**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v - 2*t - 2, 0 = -2*t. Let n(w) = 3*w + 1. Calculate n(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1\/(-3)*-3. Suppose 18 = 4*m - x*d, 0*m - 5*m + 4*d = -21. What is the units digit of (4 + -3)\/(1\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c48a2 + -2b?\nAnswer: -6c48cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - ((-2*sqrt(156) - sqrt(156))*-3 - sqrt(156) - sqrt(156)))\/(sqrt(36)\/(sqrt(3)*-2) - sqrt(12)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:36 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/359 != -0.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2757*p**2 + 199 + 1782*p**2 - 199)*(-2 - p + 2).\nAnswer: -4539*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/21867510 and -89\/106050?\nAnswer: 109337550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 68123005?\nAnswer: -68123005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n**2 - 6*n + 9. Let c be z(1). Put -2, c, 30, 5 in decreasing order.\nAnswer: 30, 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70605 and 14121?\nAnswer: 70605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43 + 187*p**5 + 76*p**5 - 668*p**5 - 12*p**2 + 213*p**5 wrt p.\nAnswer: -11520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211562 is divided by 5160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020020 (base 4) in base 10?\nAnswer: -4616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50889655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8208*y**2 - 8208*y**2 + 2*y**3 - 101 + (-2*y + 2*y**2 + 2*y)*(-y + 4*y - y) + 0*y**2 + 2*y**3 + 0*y**2 + 0*y**2 + y**3 + 0*y**2.\nAnswer: 9*y**3 - 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*x + 143 + 84 = 0, -x = 3*g + 360. Let h = -86 - g. Let n = -13 + 28. What is the greatest common factor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20766437 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + x = 183 - 174, -3*x = -3*b + 21. Suppose -q + 0*q = -b*w - 233, 15 = 5*w. Is q a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from iijjjjj?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3311701736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 390 + 1182 = 0. Let k = 27 - 3. What is the greatest common factor of k and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 6172*j**2\/7 + 4627536*j\/7.\nAnswer: 2*j*(j + 1284)*(j + 1802)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -9. Suppose -w - 16 = -2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-714 + 713 + 5*x - x + 2*x + 3 - 3 + (-3*x + x + 0*x)*(-1 - 1 + 4))*(14 - 6 - 6 + x)*(-5 + 0 + 3).\nAnswer: -4*x**2 - 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(325) + -3 + (sqrt(13) + 1)*-2.\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 11, 5 in decreasing order.\nAnswer: 11, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -5\/6.\nAnswer: -5\/6, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose s + 80 = r*s. Suppose -5*q + s = -q. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*h - 16, 4*h - 16 = 2*h - 2*d. Suppose 449 = h*u - 2*k, -4*k + 0*k - 749 = -5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -15. Suppose -l*z = -10*z. Let k(u) = -u**3 + u**2 - u. Determine k(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 81865284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-16) - 17\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-936)\/(-228) + 2\/(-19). Let g be (-162)\/(-20) - 4 - v. Let q = 0 + -0.2. What is the closest to q in 4, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.077*-275\nAnswer: 571.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 589 - 382. Let v = -207.000227 + m. Round v to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -9*z + 6*z - 2*v, 0 = z - 5*v - 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/80630 and -32\/56441.\nAnswer: 564410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmnjkhmnjmnnjn. Give prob of sequence mh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o. Suppose 0 = 3*n - 14 + 5. Let l(m) = 10*m**2 + n*m**2 - 11*m**2. What is y(l(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 4*l + 2. Suppose 0 = -2*m - 8, 0 = 4*a - 0*a - 3*m - 12. Suppose a*o + 3*o + 1 = -2*q, -4*q = 20. Calculate v(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*q - 57 = c, q = 3*c - 171. Suppose -c = -5*v + 38. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*i - 84*i = -911090. Let v = i + 57782. Round v to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkuktk. Give prob of picking 1 k and 1 u.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555, -553, -551?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 6442?\nAnswer: -11\/6442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d = -2*p - 44, 0 = 2*p - d - 9 + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31366121 (base 7) to base 14.\nAnswer: 4d1911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 7. Let x(h) = h - 3. Determine 3*o(l) - 7*x(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27853989 at least as big as -27853990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7858 = 901*x + 15458 + 15826 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/11)*y)\/(y*y*y**(-7)*y)*y*y*y**(-1\/4)*y*y**(-3\/16))**(-8) assuming y is positive.\nAnswer: y**(-1475\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -7*j - h - 68, -2 = 3031*h - 3033*h for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.03. Let o = x + -0.06. Let h = 0.3 + -0.2. Sort h, -1, o in ascending order.\nAnswer: -1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 446677 = -77*t - 457142 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -919181 + 919188.000002. Let v = -0.09 - 6.91. Let x = v + j. What is x rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 11. Suppose -2*u - 4*s = -0*s - 16, -27 = -5*u + 3*s. Let n be (9*1)\/(u - 7). What is the remainder when 3 is divided by j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(-5*g**2 - 3*g**2 + 2*g**2)*(-g + 0*g - 4 + 3) to the form j + t*g**2 + q*g**3 + f*g and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 1 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 212 + 68 = 15*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 2, p: 3, c: 6, l: 2}. Give prob of picking 2 y and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 1879 = -830. Suppose -v = 10*u + 3. Is u <= -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2185 + -24033\/11. Which is the fourth smallest value? (a) q (b) -133 (c) 2\/7 (d) -3\/5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -4*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {y: 11, v: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 373699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1677 - -16739\/10. Calculate the common denominator of l and -23\/7528.\nAnswer: 37640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(180)*2 - sqrt(180)))\/(sqrt(9)*-1*2))\/((sqrt(200)\/(sqrt(20)\/sqrt(4)) + sqrt(40))\/(sqrt(4) - (sqrt(48) - sqrt(48)*-2)\/sqrt(12))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 9*t + 1. Let n(j) = 2*j**2 + 34*j - 142. Give n(z) + 4*p(z).\nAnswer: 6*z**2 - 2*z - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 7. Let g be z(12). Let u be -1*22*(-5)\/2. Calculate the greatest common divisor of u and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15165768 + 32?\nAnswer: -15165736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Let t(q) = -348667253*q. Calculate t(p(u)).\nAnswer: 697334506*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - 2*q - 1. Let w be r(-1). Let t(a) = a**3 + a. Let i(m) be the first derivative of -9*m**4\/4 + 41. Let n(c) = w*t(c) + i(c). Give n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011001101000010000 (base 2) to base 15\nAnswer: -c66ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-4)\/8)*6*-1. Solve 11*l - y = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/6 - 53*u\/6 = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 2269*v - 440820.\nAnswer: (v - 2449)*(v + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 25536.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/((-6)\/(-3)). Suppose f + 121 = -p*u + 2*u, 3*u = -4*f + 198. Let n = 201 + -192. Calculate the remainder when u is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/(-60)*2730\/2970 and (-2)\/4 - (-314)\/240.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*k + 73, -47*q = 5*k - 46*q - 63. Let f = -19 + 55. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -5.1. Let n = j + 1. Suppose o = -4*o + 5*q, 10 = -3*o + 5*q. What is the third biggest value in o, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13945636 + 13945649.399919. Let k = -13.4 + l. Round k to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/(-9)*((-120)\/48)\/(3*-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 57. Calculate f(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 3*w - 73.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 - 3*s**3 + s**2 + 16050*s - 2438608 with respect to s.\nAnswer: -8*s**3 - 9*s**2 + 2*s + 16050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrmmvdvtmr. What is prob of picking 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, -2, -105?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 - n. Let b = 13 + -12. Let z(m) = m. Determine b*z(u) + j(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (23 - 10) - (-2 + -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) 7 (b) -1\/5 (c) 3\/4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 2*y + 57 + 25.\nAnswer: -y + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9415373 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: Solve 5*f - 30 = 3*n, 2*n = 3*f - 0*f - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227389 is divided by 818.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11742644, 23485295, 35227946?\n\"Answer: 11742651*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 - 401.9846. Let w = u - -1.9846. Let a = -0.3 + 0.1. What is the fourth biggest value in w, 3\/7, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 722?\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12090650 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 k, and 1 o when four letters picked without replacement from {o: 6, m: 1, x: 1, c: 2, k: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/3 + 6368*b**4\/3 - 3375036*b**3 - 13534128*b**2 = 0. Calculate b.\nAnswer: -4, 0, 3186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2 - 5*x - 5. Let y(f) = 6*f**2 + 6*f + 6. Calculate -6*t(g) - 5*y(g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, -2\/3, 37 in increasing order.\nAnswer: -2\/3, -0.045, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111101001 + 10?\nAnswer: -1101111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, v: 1}. Give prob of sequence evee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 4. Let x(z) = z**3 - 11*z**2 + 2. Let y be x(11). Suppose 4*d + 16 = -3*l, -5*d - y*l - 13 = -0*l. Let u be d\/((7 - 3)\/(-20)). Calculate v(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*r - h, 5*r = -2*h - 2*h + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18250 not equal to 18249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 1\/8 (b) 0.3 (c) 2\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28695517?\nAnswer: 28695517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 2*y + 2 - 3 + (-2 + y + 2)*(-1 - 2 - 2).\nAnswer: -7*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 1. Let f be n(-2). Let t(p) = 2*p - 2*p**2 - 18*p**3 - 4 + 17*p**3 + 7*p**2. Give t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17828313*m**2 - 408900830 with respect to m.\nAnswer: 35656626*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 3\/((-12)\/4). Suppose 0 = s - 48 + r. Suppose 0 = -5*a + 3*m + 1134, 0 = 4*a + 39*m - 38*m - 897. What is the greatest common divisor of a and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(19) + 1)*2 + -5 - (sqrt(19) + 1 + 2 + sqrt(19) + -6*((sqrt(171) - sqrt(19)) + sqrt(19))))**2.\nAnswer: -216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + v + 14*v)*(2 - 2 + 1) as w*v + n and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942151?\nAnswer: 7, 41, 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 41*g. Let w(b) = b. Let h(t) = a(t) + 6*w(t). Let s(u) = -u**2. Calculate h(s(r)).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 105. Let d be -5 - -12 - (3 + 0)*-1. Suppose 2*g + d = 12*g. Sort g, x, 66 in descending order.\nAnswer: 66, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*x + k, -5*k = 7*x - 8*x + 39. What is the highest common divisor of 658 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h - 13. Let m be l(-5). Let s = 93 - m. Suppose 0 = s*c - 884 - 142. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.5? (a) 805 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from hkqkhcqvttkq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.7 - 12.3. What is the closest to 2 in l, -4, -0.7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26313122 to the nearest integer?\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 39. Let h(w) = -2*w**2. Give c(h(o)).\nAnswer: -8*o**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 2.25?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = g - 19364, -8*b = g - 13*b - 19354. What are the prime factors of g?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 3, 4, -4, -5 in descending order.\nAnswer: 4, 3, -4, -5, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 + 6*h - 15. Calculate q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2590 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16330 - -23785. What are the prime factors of v?\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*x**2 - 1526*x + 372822 wrt x?\nAnswer: -274*x - 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poodptpmpom. What is prob of picking 2 p and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a + 3. Let f(n) = n**2 + 3*n - 15. Let c be f(-7). Let r be s(c). Let g = r + 136. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*872709.\nAnswer: -17454180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -626564 times 0.53?\nAnswer: -332078.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20257245317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 54*t**2 + 35*t + 25. What is the remainder when d(4) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 96. What is the smallest value in -27, 0.2, 4, g?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/7 (b) 0.4 (c) -10 (d) -4 (e) 93 (f) -2 (g) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 456855152.368.\nAnswer: 456855152.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w + 7 = 3*p, 6 = 3*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -991845 less than -6942925\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = 8. Let c(k) = -t*k**2 + 6*k**3 + 6 - 7*k**3 - 5*k - 1. Calculate the remainder when c(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 241 = -5*o, 3*o + 2*f - 132 = 10. Suppose -3*b + 2*a + o = 0, 0*a + 39 = 2*b + a. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + -1.6. Let s = 2.2 - d. What is the closest to s in -5\/6, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 68. Suppose 0 = -0*b - 2*b + k. Let h(r) = -r**3 - r**2 - 5*r - 1. Let q(n) = -2*n. Calculate b*q(d) - 2*h(d).\nAnswer: 2*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 4*g**2 + 5*g**2)*(3 - 2*g - 3) - 23*g**2 - 48*g**2 + 9*g - g**3 + 77*g**2 + 1.\nAnswer: 3*g**3 + 6*g**2 + 9*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*w - 1, -4*w + 5 = 2*u - 5. Suppose -j + u*j = 24. Let d = j - 5. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 7*k**2 + 4*k - 2. Calculate the remainder when -5*1\/((-10)\/36) is divided by q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3299683 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*r + 4 = -98*r. Suppose t = -4*t - 3*l + 18212, l + r = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 3.2, 1\/50, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182442 and 7878.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*a - 15 + 280 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -0*w. Suppose 0 = 2*h + g + 3*g - 240, -5*h = w*g - 568. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(-3640)\/6552?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (3*sqrt(180)*1 - sqrt(180)) - sqrt(180))\/(sqrt(45)\/sqrt(5)*6 - sqrt(9)) + -4.\nAnswer: -4 + 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/11 in 2, 2\/11, -4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**3 + 2*s**2 + 5*s - 7. Let i = 18 + -1. Let v(y) = y - 22. Let l be v(i). Is x(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from {q: 6, l: 1, z: 1, d: 2, p: 7, s: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 272279 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2)*v*(v*v**2)\/v*v*v*v*v)\/(v**(2\/5)*v)**(-1\/9))**(-23) assuming v is positive.\nAnswer: v**(-10511\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtttgt. Give prob of sequence gttt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -90. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2542379 and 4.\nAnswer: 2542383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (468\/(-16) - 6)\/(12\/(-112)). Let t = b + -321. Solve 34 = -t*v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 44. Let v be j(-10). Let g = v - -84. Solve 6*x = -a + 3*x + 4, -5*x = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 9. Let m be ((-11)\/4)\/(2\/8). Let b = -5 - m. What is the highest common divisor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:54 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - (-16 + 17 + -2 + -6 + -12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1360, -1251, -960, -397, 528?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1090.7610086 - 1090.77. Let r = -0.291 + 0.3. Let u = r + m. Round u to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43029 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 207*m + 11169. Determine y(-54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.168 + -6.168. Which is the third biggest value? (a) x (b) -14 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/90 - 49*h**3\/2 + 102*h**2. Let r(g) be the first derivative of l(g). Let w(u) = 5*u**2. What is w(r(z))?\nAnswer: 80*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.013 + 0.013. Let r = -4 - w. Let d = r + -20.3. What is the nearest to d in -2\/13, -1, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -27)\/(-2) - 3\/3. Let i be y*11\/((-462)\/(-36)). Put -2, i, 3, 1 in decreasing order.\nAnswer: 3, 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -511*u**2 - u - 271 wrt u?\nAnswer: -1022*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 118341321+56\nAnswer: 118341377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200794 - 83355. Suppose -182561 = -i + u. What is i rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1076\nAnswer: -430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*n + 8 = 5*r, 0 = n. Solve r*m = x + 3, 7*x - 9 = m + 10*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/16)\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - s + 5. Let v = -4 + 4. Let r be y(v). Let q = r - 3. Solve i + 10 = -2*i + h, -7 = q*i - h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -9. Which is greater: -87 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 8*i - 6. Let p be v(-6). Suppose -110 = -p*r + r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1945080 and -71\/63035.\nAnswer: 13615560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1990 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*32\/672*1\/2*(-130)\/(-5)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*m + 700 = 117*m. Suppose -4*y = -92 - m. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -1\/9, -7, -3\/5, -2, -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*s + 264 = 0, -266 = -3*g - 2*g + 3*s. Suppose -7*j = -134 + 8. Let i = g - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 900. Suppose -4*q = 8, -937 + r = -5*v + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 34. Calculate the remainder when 70 is divided by 60*(2 + f\/15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (12 + -15 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115*(-183)\/(-353556))\/((-150)\/16)?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144741148 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15 + 0*s - 6*s + 9*s. Let y be q(7). Let m be (11 + -8)\/(y\/(-8)). Sort 1, m, -1, -3 in ascending order.\nAnswer: m, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 19*o - 2. Let f be w(7). Let p(j) = 5*j**3 - 4 - 11*j**2 + 0*j**2 - 11*j - 4*j**3. What is the units digit of p(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1090)\/(-6))\/(45\/54) + 5. Suppose -211 = -4*d + 241. Suppose l + d = 8*n. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 14 + (0 - 2). Suppose t*s - 12689 - 13650 = -5*i, -2*s + 6 = 0. Suppose -i - 70234 = 5*v. Round v to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5. Let v(q) = q - 5. What is 3*v(k) - 2*y(k)?\nAnswer: 3*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 800*r**3 + 4*r**2 + 4*r - 10. What are the prime factors of z(2)?\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.025378 micrometers to centimeters.\nAnswer: 0.0008025378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-8)*(-64)\/6. Calculate the common denominator of 1\/(-6)*(-344)\/(-12) and (2\/18)\/(8\/s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, 0.\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + r - 5896 = -0*c, -3*c = -3*r - 17670. Suppose 5*b = 4872 + c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x*x*x\/((x*(x**(-2\/7)*x)\/x*x)\/x*x))\/((x\/(x\/((x*x**(3\/2))\/x*x))*x)\/(x\/(x\/((x*x\/(x\/x**1))\/x)))) assuming x is positive.\nAnswer: x**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**5 - 4*f**4 - 4776*f**3 + 4423609*f**2?\nAnswer: 660*f**2 - 96*f - 28656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x + 16*x**2 + 3\/35*x**7 + 5\/6*x**4 + 0 + 0*x**6 + 0*x**5 + 0*x**3. Find the second derivative of p(h) wrt h.\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 + -192. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/157 + 91\/1727. Let d = 0 + 2. Which is the closest to d? (a) 5 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11372645\/(-127891425) - (-2)\/255.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/105 + -1\/21. Let o = 17\/30 + h. Which is the nearest to o? (a) -4 (b) -3\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/6 and -2\/747?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b + 2*v = 0, 4*b = v. Let i be (b - 1)\/1*-5. Let p(l) = -4*l**3 - 7*l**2 - l + 4. Let q be p(0). Solve -q*r = 3 + 1, -5*r = 2*u - i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 284, 572, 964, 1466, 2084, 2824, 3692?\nAnswer: 4694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3 + (5 - 1 - 2)*(-4 + 2 + 4) - 3 - 1 + 2)*(h + 0*h + 12*h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r. Let c be a(-1). Let z(d) = -154*d - 3540. Let j be z(-23). What is the tens digit of ((-43)\/(-2))\/(j\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 15*j + 31. Determine f(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 5. Suppose 0 = -5*u - 10 - 10, -3*v - 3*u + 180 = 0. Suppose -10*p - v = -2*p. Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 13*v - 15. Let a be p(-11). Suppose -2*x = -9 - 5. What is the smallest common multiple of (-6)\/(-3 - a\/(-3)) and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109\/429122 + 921683563\/144828675. Let s = 154\/25 - n. What is the common denominator of -45\/22 and s?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -616 and -35.51?\nAnswer: 580.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49aab5 (base 12) in base 15?\nAnswer: -18abde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 - 110*i + 560 = 0. What is i?\nAnswer: 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254 - 248 - 187 + 236 - 360 - 2*n to the form s + i*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1059372 and 42228?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 51*d - 2*d**2 - 26*d - 35 + 21*d to the form j*d + k + a*d**2 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -862*u**2*y**2 - 3*u**2*y - 387*u**2 - 19*u*y**2 - 11*u*y - 2*y wrt y.\nAnswer: -1724*u**2 - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmgmgmmbbbgbmb. What is prob of sequence mmg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17357.\nAnswer: 17, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x + 2. Let a be t(-2). Let l be (a + 3 - 1) + 0. Find the third derivative of -4*g**2 + g**5 + l*g**5 - 9*g**2 - g**2 wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -337, -2\/2131 in ascending order.\nAnswer: -337, -3, -2\/2131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 518, 525, 532, 539, 546?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 175 + 60. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*x + 244*x + 421 = 86 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268*d**2*k**4 - 323*d**2*k + 2*k wrt k?\nAnswer: -3216*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 1 + 2 - 6)*(r + 8*r - 16*r) to f*r + y and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 + 200*u**4 + 1570*u**3 - 5540*u**2 - 15015*u - 8100 = 0. Calculate u.\nAnswer: -27, -15, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 226?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.56 - -1.55999868. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122001022202122 - 12?\nAnswer: 10122001022202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2952 and 51823672?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 2*n = -2*g - 10, -4*g - n - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26886.\nAnswer: 2, 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u + 120*u + 384 = -18*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 63785?\nAnswer: 574065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + 2*t + 1 + 3*t + (-t + t + t)*(2 + 2 - 3) - 2 + 2 + t - 41*t - 3*t - t.\nAnswer: -42*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -504 + 493. Let b(q) = q**2 + 10*q - 10. Determine b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102141 and 248805.\nAnswer: 9703395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -389*d - 3040. Determine z(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-2) + (-20729230)\/318970\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:26 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g - 10 = 0. Let q = 0.11 + -0.04. Let u = 0.07 - -0.13. Put g, u, q in decreasing order.\nAnswer: g, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 272, 618, 1100, 1718, 2472, 3362?\nAnswer: 4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5253 and 2060?\nAnswer: 105060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 9*w**2 - 38*w - 21. Let t(d) = 7*d + 72. Let c be t(-12). Let o be p(c). Suppose 0 = 4*l + o*f - 658 - 698, 2*l + 4*f = 688. Does 56 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrxxxuxlbxxxhbxl. What is prob of sequence ulxr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 161*f - 127. Calculate the remainder when 517 is divided by h(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 7}. Give prob of sequence jj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17, 1742, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27027)\/(-78))\/(-77))\/(1\/14)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3110 - 2?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -0*p + 4*p + 60 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2997120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 5*x**2 - 2*x + 5. Let w be r(-4). Let z be 8\/(-52) + w + (-3908)\/(-52). What is the highest common divisor of z and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11743892.\nAnswer: 2, 23, 107, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.324 - -0.124. Let k = -0.2 - -0.5. Let u = 0.2 + k. Put -0.1, u, q in descending order.\nAnswer: u, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 4*f + 0*f)*(-9*f + 28 - 28) - 3 - 3*f + 5*f + 2*f**2 - 6 in the form a*f**2 + p + c*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (27 - 3) - (-13612)\/(-656).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 240210399?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*5*1)\/((8427\/(-212))\/53).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/(-87) + (152\/(-144))\/((-3)\/(-6))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 49*x + 4 + 12 to the form o*x + m and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8856*v**2. Let a(b) = 3*b. Give a(y(z)).\nAnswer: -26568*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**2 + 39*g + 37*g + 49*g - 173*g + 47*g. Let r(c) = -181*c. Give r(k(y)).\nAnswer: 3801*y**2 + 181*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1465.6386 months?\nAnswer: 122.13655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*a + 97 = 0, -4*o + 3*a - 173 = 155. Let g = o - -87. Is 53 a factor of (157\/(-1))\/(2\/((-8)\/g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*x**2 - 57 - 32 + 51 + 254*x**2.\nAnswer: -2*x**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 5\/(15\/6). Suppose s = u - 2. Suppose 4*a = -4*w + 9 + 51, w + 15 = u*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or -2.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 + 149832*l**3 - 599361*l**2 + 749214*l - 299688 = 0. Calculate l.\nAnswer: -49948, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7080?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203.098659 + 203.1. Round k to 5 dps.\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 21 + 21 - z**3 + 8*z**2 - 11*z**2 + 2*z**4 in the form m*z**4 + i*z**3 + g*z + b*z**2 + d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (82 - 0)*(2 + -6). Let h = f + 1267. What is the units digit of h\/45 + 12\/90?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**2 - 53*s**2 + 5*s**2)*(117 - 4 + 8) + (-2 - 2 + 3)*(2*s**2 - s + s).\nAnswer: -7867*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077852782.\nAnswer: 2, 538926391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**4 - 2*t**3\/3 + t + 8. Does 5 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/21*246\/984?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3482, -5, 4, -31 in decreasing order.\nAnswer: 4, -5, -31, -3482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*f**3 + 373*f**3 - 194*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-63))\/(2\/(-3)). Which is the biggest value? (a) -3 (b) z (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Suppose -4*d + 2*u + 82 + 16 = j, -2*d + 19 = 5*u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.25752 rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 29. Let h be 6 + u - 384\/(-2). Suppose 2*l - h = 28. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(95)\/sqrt(180)*-4 + (sqrt(76)*3)**2 + sqrt(304)*-3.\nAnswer: -32*sqrt(19)\/3 + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*p + 2*i - 40, -4*i + 28 = -p. Let g(u) = -u**2 - 9*u + 39. Let v be g(p). Suppose 4*o - 2*j = 102, -o = v*j - j - 18. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4859483492 from 13.\nAnswer: -4859483479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512, -5, 839 in increasing order.\nAnswer: -512, -5, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -4 + -2)*(-3)\/(-6). Let l be ((-1 - c) + -138)*1. Does 27 divide (2 - l - 3) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*d**(-10)*d*d)\/d*d*d\/((d\/d**(7\/3))\/d)*(d*(d*d**(4\/3)*d)\/d)**(2\/75) assuming d is positive.\nAnswer: d**(-116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12910?\nAnswer: 2, 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -7*f**3\/6 + 13*f**2\/2 - 3*f. What is the first derivative of q(l) wrt l?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -32065\nAnswer: 174\/32065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2 + 19*d**2 + 17*d**2 - 56*d**2. Let i(c) = 6*c**2. Determine y(i(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 less than -1.3543?\nAnswer: -185.3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v + 9. Let z(s) = 7*s + 4. Let h(n) = -3*y(n) + 7*z(n). Let m(c) = -c + 4. Let j be m(2). Is 12 a factor of h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-nine halves of a tonne?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3347 + 0.2347. Which is greater: 2351 or p?\nAnswer: 2351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 93329*v + 13. Let p be d(3). Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - z + 8. Let x(d) = d**2 - 4*d. Let p be x(4). Let g be s(p). Suppose g - 19 = -k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 191 = -5*o - 56, 2*o + 2*q = 70. Let h = -45 + 53. Suppose 0 = n - 2 - h. Calculate the highest common factor of n and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgxq when four letters picked without replacement from cxpgxpcvxqpcpgxpcqqp?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 17 = -2*i. Suppose 3*n - n = -3*l + 3, -2*n + i = -l. Suppose -u + 4*s + 7 = 0, 5*s - n = 4*u - 20. Solve u*v = 2 - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970156347 to the power of 1\/3, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21357 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and -196.4?\nAnswer: 209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/(1\/9). Let v = r + -6. Let m = 8 + -4. Solve 16 = -v*h + m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 7) to base 8\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/45*(-12)\/(-16))\/((-14)\/7*-1)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -339, -510?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*u - 1622, 3*d - 4*d = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-174)*9\/30*1*30\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/10 + 73*y**4\/2 - 442*y**3\/3 + 3245*y. What is i in u(i) = 0?\nAnswer: -221, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, 3 in ascending order.\nAnswer: -26, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21137 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648194948 not equal to 1648194948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -86. Let l = n - 20. What is the least common multiple of 14 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121.4 + -121.4. Suppose -4 - 20 = -3*n. Which is the second smallest value? (a) n (b) 1\/6 (c) j (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i**2 + 4 - 8*i**2 - 5*i**2 + 2*i. Let p(d) = -2*d + 2. Let v be p(3). What is the tens digit of h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 - 3*p**3 + 18*p**3 - 12*p**3 + 9*p - p**4 - 2 - 8*p + 0*p**4 as j*p**2 + k*p**3 + m + v*p**4 + i*p and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f*f)\/(f\/f**(2\/35)*f) assuming f is positive.\nAnswer: f**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:36 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.8242mg in grams?\nAnswer: 0.6898242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 565 + -3?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b + 615. Let u be y(-55). Is 173 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.7 - -8. Let t = -2581 - -2588. Put t, 3, c in increasing order.\nAnswer: c, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 144 - 54. What is the smallest common multiple of y and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v = -9, 3*g + 15 = -2*v - 3*v. Suppose -180 = -9*h - g*h. Calculate the remainder when 578 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5760 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 2712*y - 2716.\nAnswer: 4*(y - 1)*(y + 679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -6\/11, 1\/1158, -2\/3, 5 in decreasing order.\nAnswer: 5, 1\/1158, -6\/11, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + d = -99, -10*h + 6*h = -3*d - 195. Suppose -h = 8*c - 11*c. Solve -4*i + u + c = 0, 3*i = 6*i - 5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8701336 + -0.150625.\nAnswer: -8701336.150625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n**3 + 4*n**2 + 7*n - 9. Let d(t) = 5*t**3 - 2*t**2 - 3*t + 4. Let u(s) = -9*d(s) - 4*l(s). Suppose 3 = -m + 4. Calculate u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(4\/(-2))\/(-12)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39202049 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.5 - 3506.28.\nAnswer: -3544.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -187, -156, -105, -28, 81?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 308?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bydyq. Give prob of sequence qd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = -4*c + 5, 3*j - 3 = -3*c. Solve -2*y - j*y = -4*p + 20, -y + 2*p - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, 1\/2, 2, -22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/20 - 7*k**3\/5 + 1881*k**2\/10 + 3100*k. Find n such that m(n) = 0.\nAnswer: -33, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -379*s - 7761. Determine x(-21).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -14. Let s(b) = b**3 - 6*b**2. Let w be s(d). Factor 3*f + 6*f**2 - 4 - 2 - 3*f**3 + w.\nAnswer: -3*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1510 and 70819.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((3 - 0) + -2). Suppose 22*k + 16 = 26*k. Solve 0 = k*n + 5*x - 5, 2*x - 2 + b = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*(3*x - 10*x + 0*x)*((-1 - 4 + 3)*(3 - 3 + 1) + 2 + 2 - 5 - 2 + 4 + 1 + 6 + 1 - 3) to the form p + g*x and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321757267505*x**2 + x**3 - x**3 - 1321757267505*x**2 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 23*p + 16. What is the units digit of h(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000059907603 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 0*d**2 - 11 + 11 - d**2. Let i(n) = -1625 + 1625 + 153*n. Calculate i(f(u)).\nAnswer: -153*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + g**2 - g\/2 - 1.\nAnswer: (g - 1)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*g - 12806 = -16*g + 5206 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -32*q - 5. Let u be j(-1). Let p be 14\/(-63) - 163079994\/u. Round p to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630*i + 6 = -1629*i + 3*o, 2*i + 4*o = 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 0.5. Let r = 27922\/285 + -1864\/19. Which is the fourth smallest value? (a) r (b) -5 (c) 1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000110110111001 (base 2) to base 13\nAnswer: 37461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - t - 3*t + 1 + 7*t. Let o be k(9). Does 11 divide (-2)\/o + (-622)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 38. Calculate the common denominator of 105\/22 and l\/5*(-123)\/108.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 <= 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036687 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*q**2 + 2 + 22*q**5 + 31*q**5 - 82*q**5 wrt q.\nAnswer: -1740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 9 + 7 + 3. Let s be t(-3). Let h(x) = 11*x + 2. What is the units digit of h(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*n + 587 + 2192, 2224 = 4*u + 2*n. Suppose 0 = 3*x, 2*t = 7*t + x - u. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 5243.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352\/17 + -12413\/510. Let t = o + 19\/5. Are t and -74\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -3*(-6)\/(-18). What is the remainder when 52 is divided by (10 - p)*105\/45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -2 + 3200\/(-100)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 117*v + 460. What is y(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2532 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.6808 - -0.0192. Let f = -55 - -83. Let t = g - f. Which is the closest to 2\/5? (a) -5 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 10*h - 3*h. Let a(k) = 930*k**2 - 51*k - 51. Let l(n) = 73*n**2 - 4*n - 4. Let b(j) = 4*a(j) - 51*l(j). Give d(b(y)).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 219600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7633 (base 15) to base 11\nAnswer: 17889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7391 divided by -4.\nAnswer: 7391\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/120 + h**4\/24 - 2*h**3\/3 + 2*h. Let w(b) be the second derivative of r(b). Is w(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = -3. Let f(d) = d - 1. Let z(b) = -1. Let c(r) = -6*f(r) + 6*z(r). What are the prime factors of c(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctcxfcbbccoccfc. What is prob of picking 1 t, 1 x, and 2 f?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 260 = 2*o. Which is the nearest to 0.1? (a) 0.1 (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 14*l + 55*l + 9*l.\nAnswer: 75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kjd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531132 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 5:43 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) -4 (c) 215.8 (d) -8 (e) -5 (f) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/52)\/(8141\/4652).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1731205832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12473 - 12468. Solve d*c - 59 = -89 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/o**3*(o*o\/(o*o\/o**(-6)))\/(o\/o**(2\/9)*o*o*o)*o**0\/(o**(1\/3)\/o)*((o\/(o*o**(-2)))\/o)**47 assuming o is positive.\nAnswer: o**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-3 + 5\/(-3) + 3). What is the second smallest value in 4, h, 1.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2597 - 1201 - 3771 - 6495*d - 619*d wrt d?\nAnswer: -7114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/100)\/((-34)\/85))\/((-4)\/(-50)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 10*m - 136. Calculate the remainder when 134 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*t + 370*t - 930*t.\nAnswer: -1774*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:50 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11096 + 11097. Let r be (-2)\/4*(-8)\/22. Which is the nearest to -0.1? (a) -1\/5 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12982 + -7662. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 12 + 0*c**3 + 6*c**3 + 15.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*b = 362*b - 978. Let f = b + 819\/5. Factor -16\/5*g + 12\/5*g**3 + 0 + 0*g**2 - f*g**4.\nAnswer: -4*g*(g - 2)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -14. Let q = -16 - z. Let u = 9 + -14. Which is the closest to 0.2? (a) u (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11230 + 13?\nAnswer: -11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/3 of a day in minutes?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) + sqrt(343))**2*-2*5.\nAnswer: -13720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzbqq. What is prob of sequence bqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5066)\/(-7) - 123\/287 - (-2)\/(-7). Is x greater than or equal to 3616\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5376.18 - -5343.1353. Let s = c + 33. Round s to three decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let y(s) = 299092*s**2. Calculate y(b(w)).\nAnswer: 299092*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*k**2 + 2616*k**2 - 874*k**2 - 876*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = -6. Let r be 1\/11 + (-1846)\/(-22). What is the highest common factor of k and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*n + 120*n + 110*n + 125*n + 123*n + 114*n + 138*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -94.9+-0.2\nAnswer: -95.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = 3*z, -1 = -4*n + 15. Solve z = -5*j + 9 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9249 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 362.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:21 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 40. Put 1, 4, h in descending order.\nAnswer: 4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32073375 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -41, -1 in decreasing order.\nAnswer: -1, -41, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**3\/3 + 4*c**2 - 4*c - 8. Let i be b(7). Is (12\/(-10))\/(i\/(-10)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(125) + 0)**2 + 4 + sqrt(125)*1)*3.\nAnswer: -1484 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 709*y - 43. Let s be g(2). Suppose 3*q - 3*b - 4125 = 0, -q = 4*b - 2*b - s. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60882 + -10675. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(7) + -1 - 6*sqrt(112)).\nAnswer: -25*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758.66047 rounded to 1 decimal place?\nAnswer: -2758.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*z + 3*z + 6*z)*(3*z**2 - 3*z**2 - z**2) - 3 + 2*z**3 + 3 as o + v*z + d*z**2 + m*z**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 3, 521, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130548 and 17627016.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/390 smaller than 11\/6690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 2*d**3 + d**3 + (83*d**2 - 38*d**2 + 149*d**2)*(3*d - 2*d - 6*d) - d + d + d**3.\nAnswer: -971*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:14 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.04. Let b = -0.06 + y. Is 0.1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.0302 - 0.0302. Suppose 2*h + 80 = 3*n, n - 122 = 3*h - 4*n. Let p = h - -203\/6. Is p greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/3 - 1673*n**3\/3 + 212824*n**2 + 17975940*n - 466250400 = 0?\nAnswer: -88, 21, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 378\/238707*(-18)\/(-4). Suppose -5*d + 1 = -4*d. Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*w - 16, 2*g + 3 = -2*w - 5. Let o be 342\/10 - w\/(-20). Suppose -3*l + o = -14. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**3 + 25*k**3 - 12*k**2 - 18*k**3 + 14*k**2.\nAnswer: -6*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/24 - 3*q**2. Let m(s) = 3*s**2 + 4*s**2 + 0*s**2. Give h(m(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {z: 4, g: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 242623*w + 1455742\/3.\nAnswer: -(w - 727871)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -70*k**2 - 1539*k = 0.\nAnswer: -1539\/70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 51 = -x - 4*l, x - 41 = -l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -29*j - 16. Give g(5).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001265831018 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460484662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86837, 5, -3, 4 in descending order.\nAnswer: 86837, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from qzpqpo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*z - 182 = 1188, 4*s = -4*z + 1824. List the prime factors of s.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 535255 and 12054.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -481 in -0.98, -1\/4, 7\/4, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235.92 - 236. Which is the closest to 0.1? (a) y (b) 1\/3 (c) 3\/8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 3*t**2 + 4*t**2)*(3 - 3 + t)*(-28 - 2*t + 28) + 7*t**4 + 7*t**4 - 3*t**4 to the form u*t + j*t**3 + k*t**4 + m + s*t**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.1 + -2.1. Let b = 10 - a. Let l = b + 9.8. What is the nearest to 1 in l, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7752 - 7667.3. What is the second smallest value in -1, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7450346 divided by -2.\nAnswer: -3725173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/54 - (-9394)\/549 - -17?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:18 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64285, -256943, -578041, -1027579, -1605557, -2311975?\n\"Answer: -64220*h**2 + 2*h - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h = -5*x, 5*h - 16 = 3*x. Let b be 0\/(h\/(-3)*3). Calculate the remainder when 2 is divided by (b - 0)\/1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twv when three letters picked without replacement from {v: 1, z: 8, t: 1, c: 5, w: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10433051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 18*k - 19*k - 5, j = -k - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-12)\/(-20)*(-4)\/24.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 4, s: 4}. Give prob of picking 1 q and 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -466 * 0.4\nAnswer: -186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.3 - -15.3. Let i = 0.4 + -1.4. Sort -0.5, 3, i, m.\nAnswer: i, -0.5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04347121 - 0.0435. Round b to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -12. Let v be (-12)\/(-42) + 2\/h. Let k(z) = 5*z - 7. Let w(q) = 2*q - 2. Let j(t) = 3*k(t) - 8*w(t). Give j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*c**2*p**2 + 274*c**2*p - c*p**4 wrt p?\nAnswer: 68*c**2 - 12*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2356585287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - 6*x**4 - x**4 + (4*x**2 - 3*x**2 + x**2)*(-2*x + x + 4*x + 3)*(2*x - 3*x + 0*x).\nAnswer: -9*x**4 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150385, -301035, -451709, -602419, -753177, -903995, -1054885, -1205859?\n\"Answer: -2*k**3 - 150636*k + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, 0.3, -3\/16, 0.5?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*(-12)\/(-32))\/(-177).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48358957561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1074 and 1009202?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {o: 1, t: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*h - 0*f - 38, 3*f + 62 = -5*h. Let p(u) = -u**2 - 13*u + 13. What is the remainder when 15 is divided by p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09911 times -940.1?\nAnswer: -93.173311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2360*s - 916*s + 38988 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5232000*u - 81*u**3 - 106*u**3 + 5231999*u.\nAnswer: -187*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*w - 428 = 3*p, -25 = 5*w. Let t be (((-30)\/4)\/5)\/((-3)\/908). Is p > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m. Let l = m + 18. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 2. Let i be s(1). Suppose -i*z + 3631 = -2*y, 4*z - 5157 = 5*y - 318. What are the prime factors of z?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = 38 - 338. Suppose 18 = 5*r - 4*o, 4*o - 4 = -v. Solve -3*k - 2 = -r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 153351, 613393, 1380125, 2453547, 3833659?\n\"Answer: 153345*s**2 + 7*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -505 + 503.53. Let t = k - 2.53. What is the nearest to 0.2 in -5, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/2 - d**2 + 3*d + 3. Let x(c) be the first derivative of v(c). What is the derivative of x(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -446, -437, -390, -293, -134?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15010123981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f**2 + 14484*f - 3327181 wrt f?\nAnswer: 34*f + 14484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1 (c) -4 (d) -248 (e) -2\/45 (f) -28.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55553 (base 9) in base 7?\nAnswer: 212406","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -0.5, 0.5, -27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.6206547ns?\nAnswer: 0.00000000000028496128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(32\/5)*g**(5\/6)\/g**3 assuming g is positive.\nAnswer: g**(-257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 5*m**2 - 21. Let s(z) = -z**3 + 2*z**2 - 11. Let b(f) = 238*f - 709. Let g be b(3). Give g*s(x) - 2*c(x).\nAnswer: x**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l = -11, 3*f - 4*f - 17 = -5*l. Solve 8\/5*r**2 + 4\/5*r + 0 - r**f = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = z + 4, -3*z + 3*f = -f - 4. Let c be (-77)\/(-33)*z\/14. Is 1\/13 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 324*z**2 - 745*z - 77165. Calculate v(327).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201\/4 + 17077\/340. Let u(o) = 98*o**3 + o**2 - 3*o - 3. Let b be u(-1). Let j = -96 - b. Are m and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4369, -8344, -12319, -16294?\nAnswer: -20269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 721 - 720.7. Let w = 1.7 + -2. Let v = w - -0.4. What is the second biggest value in -5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 0)*2\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 15.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1260 and 267270?\nAnswer: 11225340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -317, -517, -705, -851, -925, -897, -737?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 780776.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 11595.2586?\nAnswer: 23190.5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.1. Let s = 0.7 + n. Let y = -1 + 4. Which is the smallest value? (a) s (b) y (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/(u*(u**(-2)\/u)\/u))))\/((u\/(u\/u**(-6)*u))\/u) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2725.801 to zero decimal places.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = u - 26, -u - 4*k = 2*u - 26. Suppose 5*g - 18*d + 9 = -u*d, -2*d = g + 13. Let q(p) = p**2 + 6*p + 3. Calculate q(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10688 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 27567*g + 60*g**3 - 117*g**3 + 3*g**2 + 27567*g.\nAnswer: -57*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/1470)\/((-1)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**12\/t)\/(t*t\/((t\/t**(-12))\/t))*(t**(-5\/2)\/t)\/(t**(-2)*t))**50 assuming t is positive.\nAnswer: t**975","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 486*j - 378. Let o(i) = i - 1. Let a(s) = 2*m(s) - 756*o(s). Let c be a(1). Suppose c = 3*z - z. Round z to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 5*z**2 - z - 7. Let o = -20 - -16. Let b = -9 - o. What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23020, 46051, 69080, 92107, 115132, 138155, 161176?\n\"Answer: -l**2 + 23034*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-x**2 + 2*x**2 + 0*x**2) + 2*x**2 - 3*x**2 + 2*x**2 + (-4763*x + 2590*x + 2579*x)*(6*x - 2 + 2) - x**2 - 4*x**2 + 3*x**2.\nAnswer: 2436*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, -656, -0.067 in decreasing order.\nAnswer: 0, -0.067, -4, -5, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v - 4 + 4)*(-2 + 3 + 2) - 3*v + 0*v + 0*v - v + v - 4*v)*(-2*v + 3 - 3).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 363518 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2803 - -2800. What is the smallest value in 19, -5, g, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 31.3. Let l = 60 + f. Which is the closest to 1.5? (a) 3 (b) l (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + 21*n**2 - 7*n**2 + 297.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393770.\nAnswer: 2, 5, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let b(q) be the second derivative of -1\/3*q**3 + 3*q + 0*q**2 + 0. Calculate a(b(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -499, -4004, -4 in descending order.\nAnswer: -4, -499, -4004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 16885486.2689?\nAnswer: -16885486.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56\/24*-1*2\/(-49)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154844 is divided by 30965.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - 2067?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5274 - -5278. Which is the second biggest value? (a) 1\/65 (b) 7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295819 is divided by 147895.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)*(-3 + -1). Let z(n) = n**3 - 4*n**2 + 4*n + 1. Let t be z(3). Differentiate b - t*y**4 + y**4 - 8 with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 + 45*o**4 - 363*o**3 - 1329*o**2 - 1404*o - 480 = 0.\nAnswer: -20, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -879, -880, -881, -882, -883?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - l, 0 = 2*x + 3*x + 4*l - 10. Suppose -x*a = -4*a. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 9 - 11 - (-1 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 - 11*w**3\/6 + 39*w**2\/2 + 13*w + 2. Let n be q(5). Solve -5*o + n = 2*r, -3*o = -2*r - o - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1200)\/sqrt(6))**2.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from wpqqwwawqa?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 3, s: 2, e: 2, n: 2}. What is prob of sequence enn?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 588*y**2 - 16508*y + 128820.\nAnswer: -4*(y - 113)*(y - 19)*(y - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182278 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjljljjjjljjll.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.793 times 0.03?\nAnswer: 0.02379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 16785*m**2 + 450100*m - 1831500.\nAnswer: 5*(m - 3330)*(m - 22)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 8 = o, -5*o = 3*c - 5*c - 34. Let q(u) = 3*u**2 + 0*u**2 - 5*u**2 + o*u**2. Let a(d) = 7*d**2 - 298822*d + 298822*d. Give q(a(l)).\nAnswer: 196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306, 21, 12.\nAnswer: -306, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n**(2\/5)*n)\/n)\/n*n*n**(-4)*n**(-6)*((n\/(n**3\/n))\/n)\/n*(((n**3*n)\/n)**(1\/9))**5 assuming n is positive.\nAnswer: n**(-149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -22, -9, 20, 71, 150, 263?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30108 and 13769028.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1720*r**3 - 15247*r**2 - 58428480 with respect to r.\nAnswer: 5160*r**2 - 30494*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-4))\/((4\/(-38))\/((-2676)\/(-12711)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 7*t - 3*t - 114, -2*z = -4*t + 248. Let c = 259 + z. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 96*v**2 + 96*v**2.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181536 = -4*p - 4*k, -4*p = k - 243220 + 61690. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1256067 and 729?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.078761 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q**2 - 35*q - 35. Let y(i) = -i - 1. Determine j(r) - 35*y(r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99485 is divided by 8290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208100574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2537 less than -1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289375?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from {g: 8, y: 4, v: 1, a: 2, f: 4}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.25 + 0.95. Which is the nearest to -22? (a) -1 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - ((-176)\/440 - (-1 + 252\/20))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 + o + 1 - 1 - 17*o**2.\nAnswer: 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*a + d + 37 = -263*a, 5*a + 3*d = 76. Solve -8*u + 10*u = -5*y - a, 3*u = 2*y + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 5*l + 6. Let p(b) = 5*b**2 - 4*b + 5. Let d(j) = 3*p(j) - 2*v(j). Let s be d(2). Does 10 divide (-2)\/(-2) + s + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from {v: 3, u: 1, a: 4, p: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:29 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 76, 253, 592, 1147, 1972, 3121?\nAnswer: 4648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/(3*(-4)\/108). Solve 4*c = o - 6, 0 = x*c - 4*o - 0*o + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (6 + -11 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -670 + 679. What is the closest to 1\/2 in -2\/7, y, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y)\/y*y**(-1\/8)*y*y*y*y*y*y**(-6)*y*y**(2\/11)\/y assuming y is positive.\nAnswer: y**(357\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 495*y**6 + 5*y**5 + 1934*y**2?\nAnswer: 59400*y**3 + 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2 + (-3 - 0)). Let p(o) = -o - 1. Let f(s) = 3*s + 6. Determine q*p(u) + f(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1279369)\/(-14886) + 11\/198.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3843 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psf when three letters picked without replacement from ifnsiefspenisspn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70226, -140709, -211192, -281675, -352158?\nAnswer: -422641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12486 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 60*m - 2747. What is n(45)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccttcccccc. Give prob of picking 2 t and 2 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -32*f + 994. Let d be n(32). Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-8\/5)*i)\/i**(-5))\/((i*i*i**1*i*i)\/i**(-5)) assuming i is positive.\nAnswer: i**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104958, 104993, 105046, 105117?\n\"Answer: 9*a**2 + 8*a + 104941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 - 661*t + 2591. What is k(4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 110889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4779 - 4765. Solve d + h*y = 11*y + 2, -4*d - 3*y = -8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -1\/3*v**3 - 1\/5*v**5 + 0*v - 4*v**2 + 0*v**4 + 147 + 71\/6*v**6. Find the third derivative of r(t) wrt t.\nAnswer: 4260*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -2898, 0, 1.3, -2 in descending order.\nAnswer: 11, 1.3, 0, -2, -4, -2898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234286 is divided by 188.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2487.3 + -2359. Let n = j + -128. What is the nearest to 1\/4 in -3\/5, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*n**3 + 1443 wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13611663351 - -4?\nAnswer: 13611663355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 131?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24180415739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w = -18*w, 4*w + 10 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 8. Let q be x(8). Suppose -i = u - 3*i - 1, i = -3*u + q. Let n(v) = 13*v - 3. Let d(l) = -9*l + 2. Let t(o) = u*d(o) + 5*n(o). What is t(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 307 + -303. Suppose -2*m + 5*n - 4 = 0, m + y*n + 24 - 35 = 0. Solve -6 = 3*h + m*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d. Suppose -2*x - u = -33, d = -2*u - 2. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -380, -4, 2, -1 in increasing order.\nAnswer: -380, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29250509*c**4*h - 4*c**2*h + 925922*c**2 wrt c.\nAnswer: 702012216*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-47*a**3 + 6954 - 6954) - 4*a**3 + 4*a**3 + 2*a**3.\nAnswer: -186*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/5 (b) -6 (c) 1.27 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11 - 3*a + 11 + a. Let o(w) = -w**2 + 3*w - 3. Let i(q) = 4*q**2 - 16*q + 16. Let n(v) = -3*i(v) - 16*o(v). Determine g(n(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 12. Suppose m = 5*m + 492. Let p = -77 - m. What is the remainder when p is divided by l(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + -57460?\nAnswer: -57433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:14 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 22*t**2 + 76*t - 1. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 + a**2 - a - 22. Let c be o(1). Solve t + c = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5049, 5046, 5033, 5004, 4953, 4874?\nAnswer: 4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = -11. Let p(d) be the first derivative of 0*d**2 + 0*d + 2\/3*d**3 + s. Let b(n) = n**2. What is p(b(f))?\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a81 (base 12) in base 16?\nAnswer: 42c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6086*s**3 - 10*s + 2*s**2 + 9*s + 6087*s**3 - 403 in the form c*s**3 + g*s + a + z*s**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 16*b + 14. Let v be u(-16). Let i = v - 195\/14. Calculate the common denominator of 121\/10 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62394490 minus -4?\nAnswer: -62394486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*q**2 + 0*q**3 + 5*q**3 + 154*q**2 - q**3 - 6*q**3 to the form r + o*q + s*q**2 + l*q**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/4 (b) 14 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**2. Let d(v) be the first derivative of -v**2 - 23. Give p(d(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3 + 37*g**2 - 27*g**2 - 21*g**3 wrt g?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*sqrt(143)\/sqrt(176).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 plus 0.32034?\nAnswer: 0.70034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 4*c**3 + 6*c**2 - 19. What is the second derivative of w(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -2*h. Suppose 3*p = -h*r + 2*p + 5, 5*p + 1 = r. Let d(j) = 20*j + 1. What are the prime factors of d(r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5269*v + 216360. Determine p(41).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*(0 - (-305)\/20) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(231)*1)\/sqrt(7))\/(-1*sqrt(704) + sqrt(704) + sqrt(704)))**2.\nAnswer: -sqrt(3)\/4 + 67\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(1 + 3 - 1)*(-2*r + 8*r + 0*r)*(4*r - 2*r + 0*r)*((2 + 1 - 1)*(0 + 1 - 2) + 2 - 1 - 2).\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2, -5*b = -4*o + o - 453. Let w be 3*(34\/(-85) + 116\/b). What is v in 8\/3 - w*v + 2\/3*v**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2 + (-7498)\/184 + 48?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8 - (1356\/(-80) + 392\/(-7840))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/((-39)\/(-2010)) - (2 + -1). Let x = b - -1339\/2. What is the third biggest value in x, 1, 74, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301834931 to the nearest integer?\nAnswer: 17373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43550.1410889 and 0.3.\nAnswer: -43549.8410889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24134.5 rounded to the nearest one hundred?\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 60145?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x**7\/21 + 7*x**6\/10 - x**4\/6 + 129*x**2 - 82*x - 2. What is the third derivative of m(r) wrt r?\nAnswer: -240*r**2 + 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.965649 - -72596589?\nAnswer: 72596593.965649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -12047?\nAnswer: -12043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 2.79. Let b = y + 7.11. Let f = b - 6.9999944. Round f to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10652*k**2*l - k**2 + 10*k*l + 3*k - 70*l - 830 wrt k?\nAnswer: 21304*k*l - 2*k + 10*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36686, 36603, 36516, 36425, 36330, 36231?\nAnswer: 36128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*3\/18*-14. Suppose 69 = 4*c - n. Let i = 1 + 3. Solve 0 = i*z - 3*v - c, -4*z + 4*v + 18 = -6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*1*5)\/((sqrt(80)\/sqrt(10) + sqrt(2))*5))**2 + 3.\nAnswer: 269\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 216\/37 (b) 2.3 (c) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)\/(b\/(b*b*b\/(b\/b**(1\/7)*b)*b*b)))\/(b**(-4))**(-1\/6) assuming b is positive.\nAnswer: b**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2331 and 3552.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 347 + -2605785?\nAnswer: -2605437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 6 - 10 = 0. Let o be 7 - (-3 + 7)\/s. Suppose 3*d - 86 = 2*d - 3*n, o*d - 472 = -n. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 u when four letters picked without replacement from {u: 3, o: 5, x: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 692.821 - 698.1. What is s rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 12*d - 78. Let x be (3875\/(-45))\/(-5) + 26\/(-117). Give f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 0.5755\nAnswer: -0.03453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385277759\/660 - -583754. Calculate the common denominator of 113\/330 and h.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1092\/1196 - 2\/(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.02 + 46. Round n to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.56 - -18.86. What is the closest to 2\/3 in 2\/5, 1, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 3. What is the highest common factor of 9 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.2. Let z be (-76)\/14 - (15 + -14)*(-1 + -4). Which is the smallest value? (a) o (b) 2 (c) z (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3104, 3102, 3100, 3098, 3096, 3094?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48912406300 - -9.9\nAnswer: -48912406290.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 5, 0.4, -1464, -0.23 in descending order.\nAnswer: 5, 0.4, -0.23, -0.3, -4, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 2*n**3 + 5*n**3)*(-n + 2 - 2 + (1 - 5 + 2)*(0*n - 4*n + 6*n) - 3 + 3*n + 3 + 9*n - n - 2*n).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.71 * -0.9.\nAnswer: -0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 9.23.\nAnswer: 0.2769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a + 26*a = 552 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*r - 4*r**5 + 3*r**2 - 13*r wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12022122201 (base 3) to base 6\nAnswer: -2124501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = 8*t + 42. Sort 21, 0, -5, t in decreasing order.\nAnswer: 21, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/4)\/((-618)\/3296). Which is bigger: 89\/2 or w?\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 11*c**2 + 45*c + 23. What is the units digit of r(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 7*a**4 - 14*a**2 - 3 + 0*a**3 + a - 6 + 3*a**3 + 16*a**2 as f*a**3 + n + y*a + z*a**4 + u*a**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-145)\/435)\/(3\/(-45)))\/((-6)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 6*u + 7. Let s be c(-5). Let r be 14\/6 - 4\/s. What is the derivative of 2*y + 0*y + 4 - r wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -697.98 + 78315\nAnswer: 77617.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1))**(1\/9)\/((t*t*t*t**(3\/10)*t*t*t*t)\/t*t**4\/t) assuming t is positive.\nAnswer: t**(-817\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 85080.\nAnswer: 510480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*i + 12*i**2 + 285*i - 28*i**3 - 18*i**3 + 50*i**3 wrt i?\nAnswer: 24*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 43 + 40 - 5*y**2 + (0*y - 2*y + 0*y)*(y + 2*y - y).\nAnswer: -10*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148540 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*(5 + -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 161 (b) 24 (c) 1\/166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/6*8*(-60)\/5. Find the third derivative of -1226*q**2 - q + d*q**2 + 0*q + 53*q**4 wrt q.\nAnswer: 1272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.2, -0.5, -8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898751?\nAnswer: 457, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2 - 8*y**3 - y + 7*y**2 + 7*y**3 - 2 - y**2. Let z be (-2)\/1 + 5 - -1. Let q be f(z). Calculate the greatest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1021 - -5?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l + 3. Let w be t(6). Suppose w = 5*z - 19. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 9. Let g be t(-8). Let l = 10 + g. Let d = l - -1. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32676 and 9.70331.\nAnswer: 32685.70331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (260 - 756 + 157)*(0*c + 4*c - c)*(-1 + 3*c + 1).\nAnswer: -3051*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 9 - (-5 + 2). What is the third biggest value in 4, 0.02, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1369, -2688, -3939, -5122, -6237?\n\"Answer: 34*b**2 - 1421*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101753 - 4505 + 14283 = -2634*l - 6999 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 + 2 = 0. Suppose 0 = -b + 5, 5*p - b - m*b = 0. Put -5, 4, -49, p in decreasing order.\nAnswer: 4, p, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.775 rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 + 2*k - 2. Let r be f(2). Let p(y) = 2*y**3 - y**2 - 4*y - 3. Give p(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let p(m) = -6*m**2 + 2*m. Determine -3*g(j) + p(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -436020 (base 13) in base 9?\nAnswer: -2873830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 16 = -0, 4*z = 2*c + 88. Suppose z = 8*f - 76. Suppose 0 = -13*k + f*k + 26. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152016?\nAnswer: 2, 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 19*k**2 - 25*k + 23. Let j(z) = -8*z**3 - 39*z**2 - 43*z + 47. Let f(i) = -5*g(i) + 2*j(i). Determine f(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*v**5 - 2*v**3 - 5*v**2 - 18?\nAnswer: -3720*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:14 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -603.6 - -607.6. What is the nearest to 2 in z, -2\/41, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*w = 311, l + 153 - 52 = w. Calculate the remainder when -1*(3 - l)\/(-2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -980 + 1004. Calculate the remainder when 910 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -7 - 9) + (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4535*x = -4540*x - 19, 5 = 5*k - 4*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 43*w + 18. Let y be x(20). What is the common denominator of (8\/y)\/(180\/(-966)) and 34\/125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 5457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321790 to the power of 1\/2, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2*-3*2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veo when three letters picked without replacement from lelovlv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**2 + 5*d + 3. Let i(n) = -n**3 - 48*n**2 - 15*n - 8. Let w(l) = 3*i(l) + 8*u(l). Factor w(x).\nAnswer: -x*(x + 5)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2 - -4)\/(-2). Let n = 1 + -2. Let f = 4.906819 + 0.093181. Which is the nearest to f? (a) 5 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(2448)*-2*2 - (-1*(sqrt(425) - (sqrt(425) + -1)*-5) + -1))**2.\nAnswer: -624*sqrt(17) + 103444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 14) in base 10?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + y. Let h be (-34)\/6 - (-1)\/(-3). Let q be (-15)\/h*24\/20. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0194 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5649236*f - 2655172 wrt f?\nAnswer: 5649236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/20 + 18\/8. Let s(i) = 2*i**3 + 0*i**2 - 1 - i - 2 - 3*i**o - i**3. Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-32))\/((-9438)\/5808)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21626 divided by -1966.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -388 - -388. Let k(w) be the third derivative of 0*w**4 - 1\/10*w**5 - 12*w**2 + 0*w + 0*w**3 + n. Let d(c) = -c. Determine d(k(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -400467.\nAnswer: -240280.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -212012110 (base 3) in base 13?\nAnswer: -7911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -16. Let w be 77\/18*2*15\/2. Let y = w + -64. Which is the closest to -1? (a) y (b) 1\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*j = -3*j + 6, 0 = -4*a - 2*j + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3 (b) -850 (c) -3 (d) -606\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 150, 226?\n\"Answer: 76*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 + 401. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 38*u**3 + 0*u**4 - 99*u**3 + u**4 + u - u + (2*u + 0*u - 5*u)*(u**3 + 4 - 4).\nAnswer: -u**4 - 137*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b - 290. Let m(t) = 29*t - 289. Let y(r) = 4*k(r) - 3*m(r). Let u be y(23). Solve -6*z - u = -8*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 147, 352, 651, 1050, 1555, 2172, 2907?\nAnswer: 3766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*t = -73*t - 73*t - 33. Let r be ((-1)\/(-2))\/(3\/2). Which is the second biggest value? (a) -5\/2 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a - 11 - 2*a**2 - 6 - 2 + 28. Calculate k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 - 7 = 0. Let u = 19 - 15. Suppose -5 = -u*j - f. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9314.618947185 - -6861460.618954385. Let v = x + -6852134. Let g = -12 + v. What is g rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 365413*r - 365411*r - 268 - 330 as y*r + u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 52*w**2 - 54*w - 118. Determine r(27).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 3*j - 14. Let g be w(7). What is the highest common factor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 1599\/43?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155\/63 + 26\/9. Let o = -1278.7 - -1279. What is the third smallest value in 4\/9, j, o, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**2. Let l(z) = 23472*z. What is i(l(a))?\nAnswer: 6611217408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1609 + 1609.2. Is m != 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2\/(-14)*504\/360). Let n(z) be the second derivative of -3\/5*z**c + 0*z**2 - 2\/7*z**7 + 0 + 15*z + z**4 + 4\/3*z**3 - 14\/15*z**6. Factor n(p).\nAnswer: -4*p*(p + 1)**3*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.4, 29 in increasing order.\nAnswer: 0, 0.4, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/181 in -1, -5, -157.2, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -26. Let u = h + 51. What is the remainder when 56 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/6)\/(((-84)\/64)\/21). Sort 8, -1\/2, z in descending order.\nAnswer: 8, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3 + 6 + 2. Suppose -9*h = -l*h. Which is greater: h or -2\/25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 41*q - 22*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4350+2\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.22 (b) -4 (c) 3 (d) -7\/19 (e) -0.3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -3 - 2\/7. What is the nearest to -2\/5 in 4, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z**2 - 2*z - 3. Let v(c) = -8*c**3 + 3*c**2 + 3*c + 1. What is the remainder when v(-2) is divided by o(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -199071.1?\nAnswer: 199071.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -25*j - 46. Let q be s(-2). Suppose 3*r - 11 = 19. Suppose -r - q = -2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.54? (a) -9 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let d(g) = 5*g**2 + 3*g + 3 + 0 + 0*g**2. Let m(u) = -4*u**2 - 2*u - 2. Let k(q) = 2*d(q) + 3*m(q). Calculate k(w(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 78*m**2 - 1 - 73*m**2 + 25*m**2.\nAnswer: -126*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w - 1. Let s be h(4). Let l = s + 24. What is the third derivative of -9*j**2 - 544 + 544 - 22*j**l wrt j?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -862624 (base 10) to base 14.\nAnswer: -186520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2989617887 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 66282?\nAnswer: 66286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*l + 11*l - 57 + 12*l + 11*l + 12*l in the form k + r*l and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53106 smaller than 53098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 22 = 2. Suppose -4 = z*f + 71. Let g be 73\/3 + (-10)\/f. What is the highest common divisor of 225 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000992 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose -p - p + 4 = z. Solve -2*a - 3*o = 1 + p, a - 1 = o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0851135 micrograms in grams?\nAnswer: 0.0000000851135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 22\/3. Let x = -0.41 + 0.01. Which is the third biggest value? (a) x (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - 1.5. What is the closest to 1\/4 in 0.1, r, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 + 8000*x**4 - 4584588*x**3 + 558828016*x**2 + 2295232192*x + 1731811584 = 0.\nAnswer: -3, -1, 172, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m + 134. Let t(l) = 5*l + 133. Give -4*q(h) + 5*t(h).\nAnswer: h + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2728 and 12408?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -42. What is the second derivative of -v*f - 27*f + 51*f - 3*f**4 wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 14. Suppose -2*c - 2 = v, -3*c - 4 + 11 = 4*v. Suppose -f*j + 5*z + 56 = -636, -219 = -j + v*z. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 4*c**3 + 4*c**3)*(2 + 0 - 3) + 2*c**3 - 4*c**3 + 3*c**3 + (-1 + 2*c**2 + 1)*(-4*c + c + 5*c) + c**3 + c**3 + 0*c**3 - c**3 + 2*c**3 + 2*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 9, b: 1, i: 1, p: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1362, -2547, -3732, -4917, -6102?\n\"Answer: -1185*a - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 75*t + 1206. Calculate s(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 - 33*l + 115. Let w be t(-11). Let x(q) = q - 1. Let j(c) = 5*c - 5. Determine w*x(b) + j(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 - 72*o - 625. Let m be i(-8). Solve u + 5*g = 5*u + m, -3*u - 3 = -g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*a - j, 7*a - 22*j + 3 = -20*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.05 + -0.85. What is the closest to -2\/3 in 5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**2 - 6*n + 3. Suppose -318*f + 261*f = -171. Give d(f).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*k**3 + 90*k**2 + 1841*k**3 - 47*k**2 - 43*k**2.\nAnswer: 2054*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000215431 to six decimal places.\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -2\/929 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44819129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 252017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 21, -9592 in increasing order.\nAnswer: -9592, 21, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910 and 10114.\nAnswer: 353990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 4*w - w + (11*w + 22*w - 3*w)*(4 - 1 - 5).\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 111*n + 1048. Calculate u(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 457 + -421. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - y - 18 = 62, o - 44 = -4*y. Let q = -20 + o. Suppose -4*v + 4*j = -44, v - q = 3*v + 4*j. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -0*o - 39. Let m(x) = x**3 - x**2 - 3*x - 1. Let i be m(-2). Let v(g) = -2*g**2 - 5. Let q(k) = 4*k**2 + 11. Determine i*v(n) + o*q(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 559 + -665. Let i = 151 + t. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*q - 443*q = 66 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 2\/5 (c) 816 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*f + f. Let s = f + -7. Let t = s - 3. Which is the third biggest value? (a) -1 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 9) to base 7\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 203520c (base 14) to base 11\nAnswer: 8634337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**8\/1680 + 3*j**5\/40 - 5*j**4\/12 - j. Let n(f) be the third derivative of i(f). Differentiate n(k) with respect to k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -570725425 - 153320.\nAnswer: -570878745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*l + 10 = 2*h - 209*l, -4*h + 8 = -5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 568\/(-426)*(2 + 14\/(-4)). Let n(h) be the second derivative of 0 - 1\/20*h**5 + 1\/6*h**3 - 9*h + h**j - 1\/6*h**4. Factor n(c).\nAnswer: -(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -2, 4, 302, -14 in ascending order.\nAnswer: -14, -2, 2, 4, 9, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -2. What is the lowest common multiple of 30 and f?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -21178, 2, -3 in ascending order.\nAnswer: -21178, -3, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874 take away -1155.34954?\nAnswer: -718.65046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -19*k**3\/3 + 27*k**2\/2 - 12*k. Suppose -4*v - h = -2*h + 32, -4*v - 40 = -3*h. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 592.28 - 610. Let i = -4 - q. Let o = i - 14. What is o rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2999760?\nAnswer: 2999760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - q + q)*(q - 3 + 3) + q + 18972 - 17421 - 10927 + 2*q**3 to b*q + u + g*q**3 + v*q**2 and give u.\nAnswer: -9376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.2 + -7.6. What is the fourth smallest value in -0.5, -2, d, -16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -78. Let l(m) = -m**2 - 13*m + 30. Let w be l(d). Is w less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 13*s**2 + 13*s - 4. Let u be o(-6). What is the tens digit of 136\/u*(-3290)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 8*q + 2. Let a be o(7). Let g be 136\/6*a\/3. Suppose 3*t - g = 2*x, -3*t + 5*x + 64 + 16 = 0. Calculate the least common multiple of t and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d + 2*d + (d - d + 2*d)*(-3 + 3 - 2*d) - d - 2*d**2 + d - 2550 + 135*d**2 - 243*d**2 + 106*d**2)*(4*d - 3*d + d).\nAnswer: -18*d**3 - 5100*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-228)\/(-209))\/((-2)\/(-11)). Is 358\/f*(-4 - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2 + 11. Calculate the remainder when 20 is divided by d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 4531670?\nAnswer: -1\/348590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -299 and 3.8167679.\nAnswer: -295.1832321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + 19) - -26\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c53 - -499a2?\nAnswer: 4a815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 9384*m - 1511712 = 0. What is m?\nAnswer: -2172, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.286 (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*k = 11, -15*k = 5*x - 11*k - 7. Which is the third smallest value? (a) 2\/15 (b) 0.1 (c) 83 (d) 0 (e) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -11984*b**2 - 3028*b - 8 = 0.\nAnswer: -1\/4, -2\/749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/168)\/(10\/(-560))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*j + 10 = 0, -4*j + 8 = -0. Let t be (i*(-1)\/5)\/(2\/2). Solve 5*d + 11 = b, -3*b + t = -3*d + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10278540 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 9*d + 0*d)*(d + d + 0*d)*(-2 + 2*d + 2 + (d - 3*d + 3*d)*(-2 - 2 + 5) + 4*d - 6*d + 3*d - 1 + 3 - 4 - 3*d).\nAnswer: -26*d**3 + 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:16 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 5:31 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 22*p - 71 + 31*p to t*p + g and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-13)\/((-234)\/8))\/(1\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14049359*n**2 + 2*n + 279012 wrt n.\nAnswer: 28098718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxtkxzk. Give prob of sequence kxh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367652 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -6249 in descending order.\nAnswer: 4, -1, -6249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92297311*u**5 + 189234744*u wrt u.\nAnswer: -1845946220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 550 - 2752\/5. Let m = 6 - 5.6. Let g = 415\/42 + -61\/6. Put m, g, x in descending order.\nAnswer: m, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034199398 to the power of 1\/2, to the nearest integer?\nAnswer: 45102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:42 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21409, 40821, 60231, 79639, 99045, 118449?\n\"Answer: -l**2 + 19415*l + 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/66 + (-6269458)\/(-734272). Let z = 3\/4768 + j. Calculate the common denominator of (5\/(65 + -10))\/(2*2\/(-214)) and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + -3 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, 1\/10 in decreasing order.\nAnswer: 1\/10, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -882.\nAnswer: -1\/882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*a - 4*q - 40 = 119*a, 4*q = -2*a - 40 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -32. Suppose -7*w + r + 40 = -2*w, -5*w + 40 = -3*r. Solve 5*y - f = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183495\/23 <= -7978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001127079384 rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - 76. Let k = b - -167. Which is smaller: k or -2\/25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/7002 and -131\/1283700.\nAnswer: 3851100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/(-3)*3. Let l be 47*(0 - (n + 9)). Let p = -138 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403524674 divided by -6\nAnswer: -233920779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 6) in base 10?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -35*o - 2132. What is b(-69)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 3*j + j = -50*j + 1876 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-14)\/p)\/(p\/p**(-5\/2))*(p**(2\/13))**(-1\/19) assuming p is positive.\nAnswer: p**(-8155\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*r - 189*r + 12375 = 0. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1746119 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1914 and 17\/2.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 4*c - 40, 0 = 2*s - 4*c + 5*c + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c**2 - 90*c - 27. Let t(m) = -m**2 + 7*m + 2. Give -2*k(d) - 27*t(d).\nAnswer: 3*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -13, 2\/11, -33\/10?\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:52 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(sqrt(11)*-1))\/(6*sqrt(4)*2))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 37*j - 228. Suppose 5*g = -2*q - 20 + 98, 0 = 3*g - 12. Let a be h(q). Solve -3*p - 1 = -a*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.559 - -23.56299969. Let l = 0.104 - 0.1. Let z = s - l. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 7)*(4*b + 2*b - 4*b)*(0 - 2 + 0)*(0*b**2 - 10*b**2 + 0*b**2).\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 951247476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*d - 4356 = 7560 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -915, -960, -1003, -1044, -1083, -1120, -1155?\n\"Answer: j**2 - 48*j - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + j - 2, -2*w - 14 = w - 2*j. Let k be (-1 - w) + 0\/1. Suppose 2*o - 8*b = -9*b - 5, 3*o = -4*b - 5. Sort o, k, 2 in decreasing order.\nAnswer: 2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2\/8 + 9165505*b\/8 + 381896 = 0.\nAnswer: -3055168, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203 - 5603 - 12555 - 2*k.\nAnswer: -2*k - 16955","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3420 by 14.\nAnswer: -1710\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 6, n: 8, b: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52724 * -5\nAnswer: 263620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*n**3*v + 3*l*n**3 - 13*l*n**2*v - 12*l*n*v + 394*l*n wrt v?\nAnswer: 2*l*n**3 - 13*l*n**2 - 12*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849207.\nAnswer: 1849207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2370\/(-900) + 8\/60).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4\/5 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 15*p + 45. What is the tens digit of (-25480)\/(-90) - 1\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9465984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x - 843 = 9*x + 543 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32074200 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let t(m) = -m. Let i = -35 + 39. Suppose -i*l + 15 + 1 = 0. What is l*t(v) + p(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(2*w + 0*w + 0*w) + w + 4 - 4 + (-3 + 4 - 2)*(-1 - w + 1) + 1 + w - 1 - w - 2*w - 4*w)*(2*w + 5*w - 5*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5.04 + 0.02\nAnswer: -5.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61583369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 394 + -46. Let b = 52 - p. Let z = 414 + b. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*t + 3761145 = -2120038 - 2312015. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:52 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/30*(-12)\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 20. Let w(l) = -1. Calculate g(k) + 3*w(k).\nAnswer: -2*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -7*v**4\/8 - 25*v**3\/3 + 142*v**2. Suppose -3*r + 40 = -2. What is the least common multiple of w(-4) and r?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from fgakaqfakqaqaqqf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1867 - -1871. Let f(b) = -6 - 4*b**2 - 2*b**2 + 2*b**3 + 0*b**3. Let l(z) = 2*z**3 - 7*z**2 - 7. What is p*l(a) - 5*f(a)?\nAnswer: -2*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/10 + 55*r**4\/6 - 101*r**3 + 441*r**2 - 10578*r. Factor g(s).\nAnswer: -2*(s - 49)*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgm when three letters picked without replacement from aragarrragagrrmrrr?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 + 2*b - 9. What is j(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = j - 64, -3*j - g + 3*g = -137. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14750247 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/11 - 2490*n\/11 + 224812\/11 = 0. What is n?\nAnswer: 98, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by 1550388.\nAnswer: -185\/1550388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/33 + -17\/132. Let i(w) = w**2 - 5*w - 5. Let t be i(6). Which is the nearest to -0.3? (a) t (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**19\/m*m)\/m**(-4))\/(m**(-2\/25)\/m*m**15))**31 assuming m is positive.\nAnswer: m**(7037\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 297*v**3 + 10935*v**2 + 177147*v + 1062882 = 0. Calculate v.\nAnswer: -27, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014377 rounded to six dps?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 21. Suppose -2*l - 12 = 4*g, -5*l - 1 - r = 5*g. Solve l = 2*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-90) - 1\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 3*f - 1. Let b be m(3). Let z = 7.6 + -7. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -624836 and 167.9?\nAnswer: -104909964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4 + 8*m - 4)*(5026*m - 2118*m - 543*m).\nAnswer: 23650*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)*g**(5\/3) assuming g is positive.\nAnswer: g**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) -2690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0 + 8. Suppose 0 = 3*n - h - 26, -2*n + 12 = -c*h + 4*h. Determine s, given that -s**3 - n*s - 5 + 0*s**3 + 3 - 5*s**2 - 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 9*d + 9. Calculate the remainder when 39 is divided by j(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9297, -1.7, 1\/10, 41 in descending order.\nAnswer: 41, 1\/10, -1.7, -9297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkkkklkklkk. What is prob of picking 3 k?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.5200010373 + 31.52. Round y to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 7521, -0.3, -0.7, -5.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 65 = -2*t. Let n(a) = -a**2 + 15*a - 5. Let h be n(14). Put t, h, 5 in descending order.\nAnswer: h, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(12)\/sqrt(4)) + 5 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) -122 (c) -0.07 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 12, 4*l - 2*l = -z - 127. Let y = l + 619. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/8 (b) -5 (c) -1\/3 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*(-71)\/(-3976))\/((-132)\/(-14)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 4078074?\nAnswer: 24468444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 4) in base 3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 - (7 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + 26\/6. Suppose z*i - 3 = 2*d + d, 4*i = -2*d + 18. Let x(t) be the first derivative of -t**2 + t - 13. Calculate x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940\/25*(6 - 1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 4*u - 42 = 0, -4*j + 5*u - 25 = 0. Let d(p) = -p**3 - 9*p**2 + 8*p - 13. Calculate the remainder when 19 is divided by d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 21*p + 2. Let j(i) = 42*i + 4. Let y(d) = 5*c(d) - 3*j(d). Is 9 a factor of y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-5)\/3)*48\/(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 82*v - 342. Let s(w) = w**3 + 6*w**2 + 4*w + 21. Determine s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(102\/7752).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + 863?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8816, 8643, 8470?\nAnswer: 8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474722.5us in minutes?\nAnswer: 0.041245375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004864566056 rounded to seven dps?\nAnswer: -0.0004865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182268\/84 + -2 + 16\/14?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -667, -1538, -2635, -3958?\n\"Answer: -113*b**2 - 532*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let b(x) = -x. Let o(y) = 3*b(y) - 2*f(y). Let g be o(-2). What is the first derivative of 2 - 2 - u**g + 1 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(21\/56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90605101 is divided by 3527?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.860653t in milligrams?\nAnswer: 860653000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, g: 9}. Give prob of sequence qq.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -1161, -1737, -2309, -2877, -3441?\nAnswer: -4001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:19 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 33*n**2 + 6*n**2 - 52*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-40))\/(2\/10). Let b(y) = y**2 - 3*y + 2. Let z be b(d). Solve 3*t - 12 = z*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 1\/3 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/6373241 and -23\/238252.\nAnswer: 25492964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165107455 and 30475?\nAnswer: 6095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -472*r**2 + 28*r + 27951?\nAnswer: -944*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.5 (b) 7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1840 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(15\/(-84)))\/((-259)\/(-2590))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1480050763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 2976*h**3 + h**2 + 2976*h.\nAnswer: -h*(h - 1)*(h + 1)*(h + 2976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 - 1. Let d be g(-3). Let m be (-3)\/(2 - d) - 1. Let y be m*((0 - 0) + -2). Solve 4*o - y*n - 18 = o, 4*n = -5*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbvbbbbbb.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29*o**2 + 70*o - 285. What is w(4)?\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 44*u**2 + 3*u + 1. Suppose 3*j = 7*j + 12. Let t be i(j). Suppose -7*h = -3*h - t. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 + 622*b**4\/5 + 6676*b**3\/5 + 22904*b**2\/5 + 31248*b\/5 + 2880 = 0. What is b?\nAnswer: -300, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2 + 3*z**2 + 20 - 15.\nAnswer: -5*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d**3 - 2*d**2 + d. What is the tens digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 39) + (-395 - -426).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -255, -215, -169, -123?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2001 = 2*j, 3*j - 4*f + 1404 = -1581. Let v = -4936\/5 - j. Calculate the common denominator of v and -95\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 87. Let x(v) = -4*v**2. What is x(b(t))?\nAnswer: -64*t**4 + 2784*t**2 - 30276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 8*i**3 + 20*i**2 - 24*i.\nAnswer: -4*i*(i - 3)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -4 - (-9)\/((-855)\/(-1225))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 10*y - 12. Let m be w(-8). Suppose k - m = -h, 5*k + 7 = 3*h + 27. Solve h = -2*i - 4, r + 3*i = -2*r + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (35 + -23 - -5) - (-2 - 40)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 38. Let k be j(21). Let q be (3 + k)*1 - -1. Solve -21 = -q*l + 3*l - 3*d, 2*l + d = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n**2 + 0)*(-n**3 - 2*n**3 + 4*n**3) + (-7*n**4 - 6*n**4 - 2*n**4)*(n + 11*n - 3*n).\nAnswer: -136*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210440 (base 8) to base 16.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + -32. Let f = -30 - u. Solve -f = 4*k - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 2*l + 1436 + 3*l**2 + 2*l**2 - 1449 to the form f + j*l + u*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, -3 in increasing order.\nAnswer: -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3588 - -7041\/2. Let f = 66 + d. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 33 (b) -0.5 (c) -1 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276291185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 1 - 1 + 15*c.\nAnswer: -c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:22 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:39 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 939*t - 24074. What is p(26)?\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c**2 - 5*c**2 + 3*c**2 + 0*c**2 + (-6*c + c + 3*c)*(-c + c + 2*c))*(-12 + 13 - 8).\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 - 2*n - 1. Calculate the least common multiple of 4 and f(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/8 + 4*m**3 - 67*m**2\/8 + 17*m\/4.\nAnswer: m*(m - 1)**2*(m + 34)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -31. Suppose 2*s + n = 9 + 12, -3*s + 4*n + b = 0. Let l = s - 1. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -65. Suppose -z*h + 78 = -34. What is the smallest common multiple of h and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*sqrt(121) + (sqrt(121) - sqrt(121)*4*3))\/((-3*sqrt(77)*2 + sqrt(77))\/((sqrt(7) - sqrt(28))*2 + sqrt(7))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**5\/5 - i**3\/3 - 2*i - 2. Let x(u) be the first derivative of r(u). What is the second derivative of x(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-72))\/((-29)\/(1160\/250)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15 = 0, 2*b - 2*b - b - 44 = -6*s - 5*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25530897 - 51061783 + 15*w**2 + 25530886.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 4*i**4 + i**4 + (-i**2 + i - i)*(2*i**2 + 2*i - 2*i) + 4 - 2*i**4 - 4 - 2*i**4 - i**4 - i**4.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o - 151*o = 12*o + 1864 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/(-37)*(-64)\/112?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022 (base 5) in base 8?\nAnswer: -1567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, -5, 2, 1 in ascending order.\nAnswer: -5, 1, 2, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -5*o**4\/12 - 2*o + 2133. Let t(s) = -20*s**2 - 9*s. What is t(q(c))?\nAnswer: -500*c**4 + 45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -10*x - 640000. What is x rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57709 or 57708?\nAnswer: 57708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b**3 - b**3 + 2*b**3)*(b + 4*b - 3*b) - 29*b**4 + 177*b**4 + 40*b**4)*(-4 + 28 + 27 - 8).\nAnswer: 8170*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 427?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 - -319. Suppose -6*o + 3*z = -h*o - 6, 2*o - 4 = 5*z. Solve t = 3*j - o, 4*t + 8*j - 4*j = 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 971.4 and 0.9?\nAnswer: 970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 2. Let d(j) be the first derivative of -j + 842. Let b be 1 + 192\/(-102) + (-2)\/17. What is b*n(y) - 3*d(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 2*o**5 + 3*o**2 + (1 - 1 + 2*o**2)*(23*o**3 + 5*o - 5*o).\nAnswer: 44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543309?\nAnswer: 971, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -58*n + 3. Suppose -l - 5*l = 18. What is the units digit of h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, -3285, 13\/7, -2\/109 in decreasing order.\nAnswer: 2, 13\/7, 0.4, -2\/109, -3285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 31 - 11. Solve -n*s - 37 = 5*b + 2*s, -4*s = 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*p + 9*p. Solve p + 13 = 5*u + c, -3*u - 3 = -4*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 + y**3)*(2*y + 5*y - 5*y) + (-4*y**3 + 4*y**3 - 2*y**3)*(-69*y + 54 - 54).\nAnswer: 140*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 2. Let c be r(-1). Which is smaller: c or 3\/104?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a day in minutes?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 19*s**2 - 35*s + 8. Let k = 703 - 720. Let z be d(k). Solve -5*b = -2*w - z, 15 = 5*w - 2*b + 5*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 714\/(-153)*(-381)\/2. Suppose -7*m = -f - 2177. What is the remainder when m is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 2*a**3 - 5*a**3)*(143 - 14*a - 143)*(0 - 6 - 1).\nAnswer: -294*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w - 25*w + 3*p + 11, -2*w + p = -5. Solve -w*b + 3*x = 8, 8*b - 4*b + 4 = 4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 109, 2.\nAnswer: -2, 2, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*(-3)\/(-21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318638 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: Calculate 5.54 - 0.29.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 35, 34, 31?\n\"Answer: -d**2 + 4*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20128.619 to the nearest 10.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 16*i + 11. Suppose 0 = -4*r + r + 48. Let c be a(r). Suppose 2*s - 85 - 223 = 0. Calculate the highest common divisor of c and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 118*y + 63*y + 54*y - 24 = 7*o - 2*o, -4*o - 118*y - 382 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/64 and 139\/8280?\nAnswer: 66240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = -15, -5*n = -a + 1860. Let h = -131 - n. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236341.\nAnswer: 7, 19, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106974*t**2 + 320921*t**2 - 106964*t**2 - 106982*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r**2 + 52*r**2 + 67*r**2 - 210*r**2 + 44*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4215 in -0.4, 8, 1\/104?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5 and (17\/(-6))\/((-7)\/35) + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54284 and 0.2?\nAnswer: 10856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-1)*(-1182)\/(-4728)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 16*i**2 - 28*i - 145. Let j be p(18). Which is the closest to j? (a) -2\/5 (b) -4\/3 (c) -6 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386139 smaller than 386142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 3*h + 0*h + 4 + 0*h wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + d - 18*d**3 - 18*d + 44*d**3.\nAnswer: -d**3 - 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143.18 - -142. Let q = z - -0.78. Let n = -43\/94 - 2\/47. Which is the nearest to n? (a) 3\/5 (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4450537 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 13. Let i = 23 + -23. Let s = i + 3. Solve -s*z + 6 = l - 8*z, 3*z = -o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 27 - (-1 + 2 + 3 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928624?\nAnswer: 2, 120539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*q + 25*q + 607 = 238*q - 1486 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -120?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 3 + 0*q**5 - 2 - q**5 - q**5 + 4*q**5 + (q**2 + 0 + 0)*(2*q**3 + 4*q**2 - 4*q**2) + 0*q - q**5 + 0*q.\nAnswer: q**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (256\/160)\/(6\/(-10) - -1). Let i be x\/6*(-75)\/(-10). Let g(z) = -6*z + 7*z - i*z - 5*z**2 + z**3. Calculate g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -9, -0.3, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w + 13 - 38. Let k(n) = -31*n + w + 0 - 4 + 69*n - 33*n. Give k(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/8 + b**4\/24 - b**2. Suppose -4*o - 4 = -0*o. Is r(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321578 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412787.\nAnswer: 61, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 2*c - 15. Suppose 3*v + c = 512. Suppose -243*z = -329*z + 1720. Calculate the least common multiple of v and z.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/49539540 and 127\/12.\nAnswer: 49539540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 5*r - 11*r)*(2 - 7 + 3)*(1 - 2 + 0).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 795.7975.\nAnswer: 795.7975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142515 - -142508.9957. Let k = -6 - m. Round k to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 480. Let v(o) = -o + 11. Let q be v(10). Find the common denominator of m\/9 - q - -2 and -1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 52. Suppose q*y - 3*y = -16. Let u = 27 - y. Solve r = -4*r + 4*l + 32, -5*r + u = 3*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - -343\/2. Let m = -8 - b. Factor 1\/2*d + d**2 + m*d**3 + 0.\nAnswer: d*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167168 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 782068 a multiple of 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119)*-2 + sqrt(119))*-2 + sqrt(119) + sqrt(119))\/(sqrt(175) - -2*sqrt(175)) + -4.\nAnswer: -4 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 34 = 40 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19847 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 59, 14, -4\/9, -4\/3, 1.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6767*k**2 + 7*k - 81453.\nAnswer: 13534*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 966 - 966. Solve h = 3*z - 3*l, -5*z + l = -2*l - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/165 - 26124\/7700*5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/894 and (6\/(-4))\/((-14)\/70*(-3576)\/38).\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {c: 2, u: 9, o: 3, v: 5}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 10. Suppose -x = -4*j + j. Suppose p + p + 8 = j*m, 3*p - 3*m = -6. Solve -4*n + 16 = -p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 5*s - 1. Let h be k(2). Is h greater than -20\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2114.289 and -2.23.\nAnswer: 4714.86447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25165, -25145, -25107, -25045, -24953, -24825, -24655?\n\"Answer: w**3 + 3*w**2 + 4*w - 25173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5236, -10471, -15706, -20941, -26176?\n\"Answer: -5235*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.311 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/(2\/(-6)). Suppose a*s - 3 = 41. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -2941.5?\nAnswer: 2942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/35)\/(3\/(-6) - -1). Let v = w - -44\/21. Do v and 4\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6413*g - 56486. What is v(-9)?\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -65\/6*c**3 + 11\/210*c**7 + 0*c**5 + 0*c**6 + 0 - 64*c**2 + 0*c**4 + 0*c. Differentiate b(h) wrt h.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 - 3.7. Sort -7, 0.1, z in descending order.\nAnswer: z, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -57069, -1 in descending order.\nAnswer: 84, -1, -57069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*z - 0*q + 187, -435 = 5*z + 4*q. Let x = z - -181. Suppose 8*r = 10*r - x. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31525862 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 5*(-3 - -2). Let i = 3 - -2. Let f be (2\/(-3))\/(4\/(-6)). Solve f = 2*o + 3*w + 6, 0 = -i*o + l*w - 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -0.1 (c) -287\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -507a3 + 0?\nAnswer: -507a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i. What is t(-5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 12*g**2 + 11*g + 4. Let i be v(-11). Let k be 146\/3 - i\/6. Let m be ((-2)\/4)\/((-1)\/24). What is the highest common factor of k and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 1. Let o be s(-1). Let m(y) = -y - 16. Let c be m(o). What are the prime factors of (c\/10)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133 or 9?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 2. Let p be l(-4). Suppose 3*g = -3*o + 4365, 2*o - 1066*g + 1069*g - 2917 = 0. Suppose -p*w = -2*w - o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 14 - 21)*(10*l + 0*l - l).\nAnswer: -306*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249852 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 y when four letters picked without replacement from zzzzyzzyzyzz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147301411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 115, 153, 175, 175, 147?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.01852 nanograms to grams.\nAnswer: 0.00000004301852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 26. Suppose h = 3*s + 29 - 2. Let n be s*(-1)\/(3\/1). Solve 0 = n*t - 3 - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*g + 2*g + 22, -11 = -2*s + g. Which is the closest to s? (a) -2 (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 7325500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 2*w + 50. Give m(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -45, -65, -85, -105, -125?\n\"Answer: -20*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13127 + -9334.\nAnswer: -22461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -1\/3, 175, 0.2, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*q + 1, f - 4*q + 3 = 0. Let x(g) be the first derivative of -g**4\/4 + g**2\/2 + 76. Let v be x(f). Let j(b) = b**2 - b + 3. Determine j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -133*w**2. Let t(d) = 26*d. Calculate j(t(r)).\nAnswer: -89908*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + v - 3. Let d be m(3). Which is the biggest value? (a) -1\/2 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 + -3248.24\nAnswer: -2963.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.6? (a) -1.6 (b) -2\/15 (c) 0.5 (d) -0.1 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 48 = 2*u, 0 = -4*d - 3*u - 68. Let g be (0 + d)\/(5\/10). Let o = 70 + g. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 22*c - 19*c. Let u(i) = 28*i**2 - 11*i + 5. Does 76 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -4 (c) -7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 5244201?\nAnswer: 5244201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 1147*n - 1151*n. Let g(s) = -16 - 27*s + s**2 - n*s + 30*s. What is g(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038452727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-7)\/140).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 - 3*h - 13. Suppose 0*d - 5*d = 3*x + 7, 3*x - 5*d + 47 = 0. Let j be s(x). Solve p = -p - 4*a + j, -22 = -5*p + 3*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2205843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 5*z - 1. Let y be n(4). Find the third derivative of -f**2 + f**2 - 2*f**5 + f**5 + y*f**2 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 15447.\nAnswer: -53\/5149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18544.9 grams in micrograms?\nAnswer: 18544900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -91*v**3 + v**2 + v - 2. Let d be y(3). Let l(u) = 1231*u + 54. Let a be l(-1). Let r = d - a. Round r to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.14. Suppose 3*m = 21 - 9. Let p = -269 + 264. Which is the third biggest value? (a) d (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25559, 102252, 230073, 409022, 639099?\n\"Answer: 25564*f**2 + f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.588 + -3.882. Round z to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(176)*-2.\nAnswer: -8*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (-228)\/(-22)) + 652\/1793?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 39. Let l = y - -19. Suppose 2*r - 3*i + 483 = 7*r, -5*i + 5 = l. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11558 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 2*x - 18 = 31*p - 29*p, 6 = x + 8 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p + 3694 = -50*p + 11907 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 947*m**4 - 2*m + 11991?\nAnswer: 3788*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5*p**2 - 1418*c**2*p**2 + 2*c*p**2 + 2*c*p - 5*p**2 wrt c.\nAnswer: -40*c**3*p**2 - 2836*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - 13*j - 30. Let b be h(-8). Solve -7*k = 25 + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 16 + 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-4) + -1)\/((-81)\/(-324)). Suppose 2*w = -3*l + 14 + 21, h*w + l - 49 = 0. Calculate the smallest common multiple of w and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/3 - (-6 + 8). Let b be (-1)\/(-5) - 168\/i. What are the prime factors of 4\/22 + (-1164)\/b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26407 divided by -13.\nAnswer: 26407\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -70) + (-51 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -59. Solve 4*h + 0*h + r = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 31 = 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -78 in decreasing order.\nAnswer: 5, 3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -168*k + 3. Let s(u) = 340*u - 5. Let i(v) = 6*s(v) + 10*y(v). Let f(z) = 2*z. What is f(i(h))?\nAnswer: 720*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:09 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3628 = -2*m, m - 1830 = 3*n + 2*n. What are the prime factors of m?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 11 = -3*d + 14, 3*d = r - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, x: 1, w: 1, a: 3, k: 2}. What is prob of sequence axwa?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ydddqydbdqxddddd.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 62 = -4*x - 2*p, 0 = -5*x + 4*p + 58. Let h = x - 184\/13. Suppose 6 = 4*g + 10. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*s - 2*s. Suppose -3*u = -s*a - 11 + 171, -3*a + 2*u + 96 = 0. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**3 + 28*z**2 + 5*z + 5. Let o(p) = 8*p**3 - 29*p**2 - 6*p - 6. Suppose -26*x = 2*y - 28*x, 2*y = 4*x + 12. Determine y*u(a) - 5*o(a).\nAnswer: 2*a**3 - 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/7910 and -21\/100084.\nAnswer: 395832220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 + o + 10. Let z be x(-6). Suppose i + i = i. Suppose i = -z*a + 3*a + 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8304721732.\nAnswer: 2, 463, 4484191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/(sqrt(100) + -4*sqrt(100)))\/(1*(sqrt(2) + (sqrt(648) - sqrt(2)))))**2.\nAnswer: 13\/72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43089, -2, -4 in increasing order.\nAnswer: -43089, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29337350 divided by -769\nAnswer: 38150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -430, -3\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7737\/2)\/(13\/((-208)\/(-6)))?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 857 + 963 = 0. Suppose -86 + 346 = 5*g. Calculate the greatest common divisor of g and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 435\/10*6\/(-9). Let v = q + 34. Suppose -4*l = -v*i - 94, 3*l + 3*i - 2*i - 61 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*161.72775\nAnswer: -64.6911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/13 + -11\/26. Suppose -692*w = -626*w + 66. What is the fourth biggest value in i, -3, -2, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-1\/2)))**(-2\/81))**(-3\/13)\/(q\/q**(-4)*q\/((q**0\/q)\/q)*(q*q\/(q\/(q*q**0)))**(-1\/51)) assuming q is positive.\nAnswer: q**(-47485\/5967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*r - 108, -4*f + 0*r = -3*r - 337. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17*w**2 + w - 34. Is 18 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/13 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -932, 38, -1 in decreasing order.\nAnswer: 38, -1, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*w - 170, -w + 929 - 95 = 5*p. What is the remainder when 984 is divided by p?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfppzlxl. Give prob of picking 1 z, 2 p, and 1 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 3638*g + 10932.\nAnswer: -2*(g - 3)*(g + 1822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 19*s. Let d(c) = -20*c + 14. Let l(a) = 11*a - 8. Let o(y) = -8*d(y) - 14*l(y). What is o(m(u))?\nAnswer: -12*u**2 - 114*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 4*l**2 - 4*l**2 + (-5*l + 3*l - 8*l + (0 + 2*l + 0)*(0 + 1 - 2) + l + 0*l + 0*l)*(l**4 + 2*l**4 - l**4).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/3 + 2*l. Let q(t) = 150*t - 48. Let i(v) = -30*v + 10. Let x(j) = -24*i(j) - 5*q(j). Calculate y(x(p)).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*z, -1 = g - 4*z + 16. Suppose g*c - 3 = -2*i + 11, -5*c = -3*i + 21. Solve -4*t = -5*s + 13, -i = -4*s - s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 93*k**3 - 309*k**2 wrt k?\nAnswer: 24*k + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22670 or 22699?\nAnswer: 22699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 - 3*r. Let b be j(4). Suppose b*x + 202 = 5*m, 0*x + 67 = 2*m + 3*x. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 + -0.31. Let n = -1.94 + q. Sort n, -5, 0.4.\nAnswer: -5, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6875 - 687. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/2 + 184887*a\/2 - 1109106 = 0 for a.\nAnswer: 12, 61617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-660) - (-213)\/510 - (-1434)\/(-51).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57)\/(-15) + (-8)\/10. Suppose 0 = -0*o - a*o. Solve w = -1 - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:46 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -662 + 294 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let d = -2 + z. Let p = 1329 - 1301. Solve d*h + 2 + 12 = -c, 0 = -3*c + 5*h + p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-52)\/2))\/(4\/(-8))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82393079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 327999941*q*y - 681622942*q wrt y?\nAnswer: 327999941*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -26*q + 555. Let z be s(20). Solve b - z = -40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385592063.\nAnswer: 3, 1667, 277063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 - 3*m. Let d(x) = -8*x**2 - 6*x. Give 6*d(h) - 13*i(h).\nAnswer: 4*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9004c (base 14) in base 5?\nAnswer: -42031222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -37.4. Let c = s - 0.9. Let q = 3.446 - c. What is q rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, n: 3}. What is prob of picking 1 k and 1 n?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21151 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmzzggg. What is prob of sequence mgz?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -968, -1931, -2882, -3815, -4724, -5603, -6446, -7247?\n\"Answer: y**3 - 970*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51037 and 842269.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -2) + (4 - -42) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486\/5 + 32\/3*p**3 + 1296\/5*p - 2\/5*p**4 - 468\/5*p**2 = 0. What is p?\nAnswer: -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -625.8 + 596.434. Let g = 0.134 - y. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4 - 7*z**2\/2 + 4. What is the second derivative of t(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101011101000101110100 (base 2) to base 3\nAnswer: -112112021200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 4*l**2 + 3*l + 4. Let y(d) = -2*d**3 + 5*d**2 - 4*d - 5. Let n(j) = -5*p(j) - 4*y(j). Let z = 75 - 74. What is n(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 184945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 + -237. Which is smaller: -6\/31 or o?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yww when three letters picked without replacement from hhyhzyyyhyyyywezzzhy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*(-12)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 8. Let x(f) = 12*f + 2802. Give 9*i(b) + x(b).\nAnswer: 3*b + 2730","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 i, and 1 c when four letters picked without replacement from {i: 3, x: 8, c: 7}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97517432 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Suppose -5*c + 86 = -g*c. Suppose -c = -4*w + 69. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 23. Let s be p(14). Suppose 0 = -7*z + 2*z + 2*w + 11, -4*w - 7 = -s*z. Suppose -126 = -z*f - 0*f. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = 6. Solve 2*g + d = 4*y + 3, 15 = 5*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1279 = 1276 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 + 4*c - 1. Let q = -53 + 77. Let t = q + -20. Let b be z(t). What is the highest common divisor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 494 = -2*t, -4*x + 4*t - 88 = -5*x. Let h = x - 87. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 + 1 = n, -5*n - 85 = 5*x. Let a = 20 + n. Let m be 2 + (-4)\/(-2)*2. What is the greatest common divisor of a and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggvv when four letters picked without replacement from vvgvvvgvgv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.7, -0.3, 1478?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43380529.0488 and -0.3.\nAnswer: -43380529.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4318112665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 23*g + 19 + 14.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 27*k**2 + 145*k - 253. Give b(-12).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*v + 49, 4*v + 86 = -4*f + 34. Let p = -10 - v. Suppose h + 4*m + 2 = 19, -p*m - 102 = -3*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27854 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 5*s**2 - 5*s + 1 + s**3 + s. Let a be h(-4). What is the units digit of 190\/20 - a\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14501, 57916, 130249, 231500, 361669, 520756, 708761?\n\"Answer: 14459*v**2 + 38*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:50 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2203*b + 1168*b + 2*b**2 - 4 + 4 as w + s*b + c*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498402491 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 12*g**2 + 14*g + 9. What is b(-6)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by (-12)\/3*(156\/(-8) + 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 105 = -15. What is the units digit of (b - -4)*(-1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.016, 2\/3, 16, -25?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(9\/8))\/(i*i**(2\/9)))**19 assuming i is positive.\nAnswer: i**(1235\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9437 + -9439. Let z = 5.9 + -6. Let f = 0.4 + z. What is the second smallest value in w, -6, f, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.95 - -0.05. Let t(k) = k**3 - 4*k + 7. Let y be t(2). Let w be 18\/y - (-3)\/2*-2. Put w, v, -2, 0.2 in increasing order.\nAnswer: -2, w, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004028 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Find the first derivative of -u**3 - 2 + n + 0 + 3 wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 62 + 8*c - 115 + 57 as f + w*c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-245)\/105).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5327422 is divided by 1775806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 75\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 4 - s + 3*s - 3. Let t = 5 + -3. What is the units digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3141498 times 11\nAnswer: 34556478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 634384799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i**2 + 34*i**2 + 27*i**3 + 2*i**3 - 3*i**3.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.03, 39532, 29, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*x + 2 + 3831*x - 1951*x.\nAnswer: 23*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(30\/(-9) - -3). Let p be ((-10)\/8)\/(h\/8). Let g(i) = -p*i**2 + 11*i**2 - 7*i - 2*i**2 - 4. Calculate g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(500)\/((sqrt(90)*4)\/sqrt(9)))\/(sqrt(50)\/(sqrt(40)\/sqrt(8)*3)).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/16 + 72\/(-33). What is the third smallest value in 5, 42, o?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 68*i - 445. Give w(12).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 1500*d - 1125000.\nAnswer: -(d - 1500)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102200020 + -222?\nAnswer: -102201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1316 and 10?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 98*u + 5940 = 98*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 4*h + 0*h)*(2*h - 6*h + 2*h) - 2*h**2 - 20 - 25 - h + 40 to t + n*h + q*h**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let f = 5 - 3. Suppose -1 = -f*j - 4*s - 5, -2*j = -2*s - 14. Let v(o) = 2*o**2 + j*o**2 - 2*o**2. Give v(y(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - i**4 + 2*i**2 - 37*i**3 + 0 - 39*i**3 + 78*i**3 in the form p*i**2 + y + f*i + l*i**3 + n*i**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6451 (base 13) to base 9\nAnswer: -21081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 80.5, 0.08, -1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2889, 2890, 2891, 2892?\nAnswer: 2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 381\nAnswer: 190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*o - o**3 - 45*o - o**3 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121156 and 65947?\nAnswer: 1141410676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 111106.8098 to the nearest 100.\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10686*r**4 + 7753*r**2 + 44639188 wrt r?\nAnswer: 42744*r**3 + 15506*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m**3 - 5*m**2 - 11*m + 38. List the prime factors of j(4).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 10 = -4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 336 * 0.1.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 7*h + 1 - 12 - 2 + 4.\nAnswer: 7*h - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386593*k - 190436*k + 1742279*k.\nAnswer: 1938436*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8422635ml to litres.\nAnswer: 0.0008422635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n**2 + n + 7. Let p(t) = -t**2 - t + 2. Let l(x) = p(x) + s(x). Let r(j) = -j**2 - 1. Determine -l(h) - 9*r(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k + 1. Calculate the common denominator of 7\/4 and s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from zyty.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 68546*u - 3. Let g(w) = -16*w. Calculate g(q(p)).\nAnswer: 16*p**2 + 1096736*p + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*r + 7*t = 131*r + 15, -19 = -5*r + 5*t + 16 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -295\/47029 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*l - 248*l - 5152 = 0. Solve l*i - 190*i + 30 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-1612)*31*46\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:51 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 4172*j**3 + 4347206*j**2 - 8773748*j - 65333535.\nAnswer: (j - 5)*(j + 3)*(j + 2087)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 46*b**2 - 660*b + 2088 = 0. Calculate b.\nAnswer: -58, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 2 - (-38 + 33) - (48 + -48).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6102 = -69*s + 408*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*x - 22*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 2, n: 1, k: 6}. Give prob of picking 2 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {n: 2, m: 6, q: 1, j: 3, x: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 5) to base 12.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -1 + 0*o**2 + 0*o - 3\/4*o**4 + 2\/3*o**3. Find the third derivative of p(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 1. Calculate the remainder when (105\/360 - (-18)\/48) + (-496)\/(-3) is divided by f(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u + 1. Let a(r) = -8*r. What is 4*a(v) + 6*o(v)?\nAnswer: 28*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 56*h**2 - 5*h - 7. Let x be u(-1). What is the highest common divisor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 439 - 1057 + 618 + 68*z - 625*z**2 + (-3*z + 0*z + z)*(0*z + 3*z - 4*z) in the form x + u*z**2 + n*z and give u.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 - 286 - k + 73)*(0*k - k + 2*k).\nAnswer: -k**2 - 414*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + -4 + -4*(-4 + (sqrt(2299)*2 - sqrt(2299)) + 4 + (-2*(sqrt(2299) + 2) - sqrt(2299))))**2.\nAnswer: 14960*sqrt(19) + 737125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**(-1)))\/(a*(a\/a**(-6))\/a)*a**(-1\/5)\/a*a**(-1\/3))**(-9) assuming a is positive.\nAnswer: a**(339\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2832590.\nAnswer: 1\/566518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 17*t**2 - 38*t + 443. Give h(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 306293515*l + 222945427?\nAnswer: 306293515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (sqrt(102) + sqrt(102) + (sqrt(102) - sqrt(102)*-1))*6 - sqrt(102)))\/((sqrt(96) - sqrt(6))*3)*-3 + -5.\nAnswer: -5 + 23*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7)*g)\/g*g**(-2\/5))**(-10\/9) assuming g is positive.\nAnswer: g**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 + 302. Suppose 30*b - 51 = z*b. Let t(p) = 3*p**2 - 2*p - 2. Calculate t(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/4)\/((-3)\/12) - 2. Let p(l) = l. Let r(j) = 14*j - 17. Let o(h) = i*r(h) - 3*p(h). Is 31 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = u - 0*u, -d + 6 = -4*u. List the prime factors of 6*d\/4 + 49.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p - 49. What is the smallest common multiple of 12 and z(-11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 143*d + 2*d**4 + 143*d + 3 + d**3 as z*d**4 + v*d + b*d**2 + x + f*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 529\/480 - 17\/15. Let j = 2.7814 + 0.2186. Which is the second smallest value? (a) r (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236524 divided by 4.\nAnswer: -59131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 682301654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*(7 + ((-11718)\/(-72))\/(-21)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126590 to the nearest one thousand.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28582 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z. Let o be d(0). Solve o*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -3ab12b?\nAnswer: -3ab12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/57 and -16\/10598557?\nAnswer: 604117749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/591 and -23\/23049.\nAnswer: 23049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from usssuusuusussuusussu.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 2*z - 4*z)*(3*z + z - 2*z)*(6179*z + 1411 - 1411) as i*z**2 + j*z**3 + o + l*z and give j.\nAnswer: -24716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83.2641km?\nAnswer: 83264100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -2860.\nAnswer: -2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2045 - 2043*k + 4075*k - 2034*k to the form j + i*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-8))\/((-6)\/8)*-3339 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b3 + 4a?\nAnswer: 81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 11*a - 6*a + (4 + 6 - 4)*(-6*a + 4*a + 3*a) as w*a + d and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4152)\/120 + 36 + -3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/23589 and 53\/654.\nAnswer: 5142402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -1124?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21140.67 centuries to decades.\nAnswer: 211406.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -654, 16, 12, 0.3, -0.078?\nAnswer: -654","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-28)*(-174)\/(-87)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2260*l - 2264*l + 7 = -5*f, 5*l = -2*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 209*o + 0*o**2 + 209*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/4 + 11*q**3\/2 + 36*q**2 + 22*q. Suppose d(k) = 0. Calculate k.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**8\/84 + 2*o**7\/15 + 3*o**6\/5 + 4*o**5\/3 + 4*o**4\/3 + o**2. Factor w(j).\nAnswer: 4*j*(j + 1)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/3, -753.3, -1\/2, 4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/428, 3, 25\/4, -0.8, -1\/5?\nAnswer: 1\/428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -145, -345, -635, -1021, -1509, -2105?\n\"Answer: -k**3 - 36*k**2 - k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 6. Let z be u(-6). Suppose -2*b = -4*p - z, -20 = -4*b + p + 3*p. Solve 0 = 2*c - b + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac2c8 (base 13) to base 10.\nAnswer: -312476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3375*-4.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266\/112*5 - 3\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 4*a + 6046. Is u(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 2}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 178 - 256)*(4 + 0 - 2)*(0 - 1 + 2 + 2 + 4 - 4 + (1 - 2 - 1)*(-3 + 7 - 2) - 1 + 6 - 3)*(2*o + 0*o + 0*o) in the form f*o + g and give f.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**3 + 35*d**3 - 17*d**3)*(2*d - 3*d + 2*d)*(0 - 3 + 0).\nAnswer: -93*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6\/(j*j*j\/(j**(-4\/7)*j))*(j**1)**(-29)*((j\/j**(-4)*j*j)\/(j**5*j*j))\/((j\/(j**(-5)*j))\/j**1) assuming j is positive.\nAnswer: j**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 0*i - 3*i + (i + 3*i - 2*i)*(1 - 3 + 1) + (-2*i - 1 + 1)*(5 - 2 + 0).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 + 2*s**2 + 1 - 4*s - 7 + 6. Calculate the remainder when 73 is divided by x(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 3*l + 8*l + (76 + 68 - 119)*(-1 + 1 - l) as m + x*l and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + sqrt(350)*3)*-5)\/(-2*(-6*sqrt(4))\/sqrt(2)).\nAnswer: -25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -1 - (24 - 7). Let j(m) = -3*m + 4*m + 13*m - 12 + m**2. Let t be j(o). Solve -6 = -t*z - 2*z - 3*w, -2*z = -w + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8435389.62 to the nearest one thousand.\nAnswer: -8435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5329000 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 4*l. Let v be t(-4). Let n(j) = -j**2 + j - 3. Let x be n(v). Which is bigger: -1\/7 or x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b - 55*b + 1112*b**2.\nAnswer: 1112*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 15. Let b be h(-10). Let c be ((-39)\/b)\/(5\/(-25)). Suppose -c = -p - 2. Calculate the remainder when 108 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + (55 - 6) + 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994500 divided by 36.\nAnswer: 27625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1860.999776 - -1861. Round v to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9153408 <= 9153405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*g**4 + 70776*g**3 + 1619877 with respect to g.\nAnswer: 72*g**3 + 212328*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 201020, 202848, 205892, 210152?\n\"Answer: 608*m**2 + 4*m + 200408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12030460 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 22*h**7\/105 + h**4\/12 - 23*h**3\/6 + 78*h**2. What is the second derivative of v(r) wrt r?\nAnswer: 528*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*s + 78*s + 32*s + 447*s.\nAnswer: 826*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -45. Solve v = 3*k - 7 + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from bybbbybbbbbtybtyybbb.\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49730*k**3*y + 7*k*y - 684 wrt k.\nAnswer: -298380*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 17*p = 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.374*341.\nAnswer: -127.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 - 16*z + 6. Let u be t(8). Let j = 651 - u. Let w(a) = a**2 + 3*a + 2. Let q be w(-5). Solve -j*c + c + q = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2868 + -2869. What is the fourth biggest value in v, 0.3, 0.6, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 3573742*l\/7 + 1786872\/7.\nAnswer: -2*(l + 893436)*(2*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*(-495)\/(-2160))\/(1\/4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18410, 18411, 18412?\n\"Answer: w + 18409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 + -173. Suppose -4*v + 3*b + 66 = -v, -2*b = -l*v + 65. Solve 9 - v = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26124273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.89 + 111.11. What is the closest to 1 in -0.1, -4\/5, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*p**2 - 24 + 28*p - 9*p**3 - 160*p**2 + 10*p**3.\nAnswer: (p - 6)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:37 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 2*k + 45. What is the remainder when y(7) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 151560, 303126, 454690, 606252, 757812?\n\"Answer: -o**2 + 151569*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 1. Suppose -2*z + 3*c = 0, -6*z = -z + 3*c. Let q be y(z). Let v be 2*(1 + (-18)\/17). Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = 0, 3*o = -v - 108 + 903. Suppose o*j - 271*j + 469 = 0. What is the lowest common multiple of j and 5?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 170\/45 - 4 - (-39345)\/27. Suppose -9*i = -h - 1594. Suppose -5*g - 10 = 5, -3*l + i = 2*g. Does 31 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 2195, 3286, 4361, 5414?\nAnswer: 6439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/185757 and 13\/1100.\nAnswer: 18575700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z + 2. Let m be t(2). Let j be 2\/(-8)*(-8)\/m. Let n(v) = 9*v**2 - v. What are the prime factors of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, -4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*j - c**3 - 31*c**2 - 4*c*j**4 + 4281*j**2 - 47 with respect to j.\nAnswer: 2*c**3 - 16*c*j**3 + 8562*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9133155, -9133153, -9133151, -9133149?\n\"Answer: 2*c - 9133157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 8 + 64. Let z(r) = -7*r - 3. Let q(m) = -3*m - 1. Give v*q(u) - 4*z(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.315 rounded to one decimal place?\nAnswer: -17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1 - (-135 + -4). Suppose -4*t + t = -u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from vvxxviivvvxffvfxx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -74, 2, 494, -5, -4.\nAnswer: -74, -5, -4, 2, 4, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:11 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + n + 2*n)*(9 - 3 + 3)*(294*n - 294*n - 57*n**2) to the form i*n + g*n**3 + m + q*n**2 and give g.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3*n - 3. Let d be c(-2). Let v be ((-48)\/(-10))\/((-4)\/(-20)). Let r = 29 - v. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -777, -3115, -7011, -12465?\nAnswer: -19477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -52*q**3 - 7*q**2 - 2*q - 8. Let f be v(-3). Is f at most as big as 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -872, -1729, -2574, -3401, -4204, -4977, -5714, -6409?\n\"Answer: q**3 - 864*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 21374, 0.15, -4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918480453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v + 52*v + 5*k + 35 = 0, v - 2*k - 5 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 360\/78793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:57 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517 plus 322?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -18*u**7\/5 - 817*u**3\/6 + 382*u**2. Differentiate x(g) with respect to g.\nAnswer: -3024*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(6\/4 + -1)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38657, -77314, -115971, -154628, -193285?\n\"Answer: -38657*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/7 (b) 2\/1267 (c) 5 (d) 53 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5045*w + 253399 = 66734 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/91 - (1 + (-5)\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 27 + -14 - (-11 + 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 - -0.14. Let j = f - -6.19. Let d = j + -5. Which is bigger: d or -2\/21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 - (-5 + 6 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6002 = -4*f + 2*f - 2*d, 3 = 3*d. Let i be -20 + 24 + 31700*f - 4. Round i to the nearest one million.\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = 2*w. Let s(r) = r**3 + 2*r**2 - 2 - 8*r**2 + 10*r - 4*r**2. What is the units digit of s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398 + 397.9. Suppose 0 = 2*w - d - 8, -2*w - w + 7 = -4*d. Which is the nearest to -0.1? (a) -0.5 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 + 4*q**2 - 2*q - 3. Let i(k) = -4*k - 7. Let u be i(-3). Let y(g) = 7*g**3 + 7*g**2 - 4*g - 5. Calculate u*o(p) - 3*y(p).\nAnswer: -p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 - 167363*x + 84031121307\/2.\nAnswer: (x - 502089)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897 - 2173*s + 899 + 6523*s - 2159*s - 2169*s.\nAnswer: 22*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let o(b) = 2*b + 2. Let k be o(-4). Let j(n) = -n - 3. Let g be j(k). Let i(x) = -g*x + 3*x + 2*x. Calculate i(z(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 20 + 16 - 1 - 194*f + 0.\nAnswer: -194*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16 and -99\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16590000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*c**2 + c - 28 + 463*c**2 - 33*c**2 + 146*c**2.\nAnswer: 793*c**2 + c - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879 + 827 = 52*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114759746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z + 2978. Let r(w) = 31*w + 2. Calculate r(b) + 4*u(b).\nAnswer: 31*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Suppose -5*n - 1 + 11 = 0. Let h(p) = p**2 - 3*p**2 - p**n + 6*p**2. What is h(d(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 189.103. Let k = -6.803 + x. What is k rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**8\/80640 + t**7\/5040 + t**6\/720 - t**5\/20 - t**2. Let x(a) be the third derivative of m(a). What is n in x(n) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 6*j - 1. What is the remainder when 13 is divided by t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 2457770439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -12*c**4 - 800*c**3 + 16620*c**2 + 29360*c + 11952 = 0?\nAnswer: -83, -1, -2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 5*q + 3. Let z be a(-5). Let w = z + -4. Sort 9, 1, w.\nAnswer: w, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*b**3 - 20*b**2 + 22*b**2 + 1 + 3*b + 45*b**3 - 4*b as r*b**3 + o + i*b + c*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124571250 and 4950?\nAnswer: 1370283750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/2)*t)\/t)**17\/(t\/t**21*t)**(1\/2) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19060588.\nAnswer: 2, 353, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 12\/2 - 0. Suppose -3 = 3*x - 15, -3*x = -q*i - 6. Suppose 0 = -p + 2*s + 17, 2 + 34 = i*p - 3*s. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 18*r**2 - 45*r + 1. Let j(k) = k**3 - 5*k**2 - 2*k - 9. Let v be j(6). Let n be m(v). What is the greatest common divisor of n and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 24508 + 19*r**3 - 24508 + 6*r to the form s + a*r**3 + y*r**2 + n*r and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24990 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 (base 8) in base 7?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n**(-2\/19)*n))\/n*n*n)**(-12)\/(n**(3\/7)\/n)**(13\/7))**(16\/7) assuming n is positive.\nAnswer: n**(-360512\/6517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 542575 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 + 12 = -3*r, -4*r - w + 7 = 0. What is the closest to 2\/3 in 4, r, 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.22 + 0.22. Sort 3\/7, -0.2, h in descending order.\nAnswer: 3\/7, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, -4 in decreasing order.\nAnswer: 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-7)\/((-42)\/4)). Suppose 5*j + 4*v - 7035 = 0, -2416 - 1768 = -m*j + 5*v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 31912, 5.\nAnswer: -28, -3, 5, 31912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 23*o**3 - o**4 + 9*o**2 + 28*o**3 - 3*o**4 - 4*o to l*o + x + v*o**3 + d*o**2 + h*o**4 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8db (base 14) in base 5?\nAnswer: -24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(832)*2 - (sqrt(832)*-1 + 1)))**2.\nAnswer: 112*sqrt(13) + 40769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v*v*v**(-2\/27))\/(v*v**12*v*(v*v**(3\/13))\/v) assuming v is positive.\nAnswer: v**(-48211\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429768?\nAnswer: 2, 17, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v - 45*v + 8*v**2 - 11*v**2 + 74*v - 18*v**2 + 5*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -108978 divided by 11\nAnswer: -108978\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114840 and 210928.\nAnswer: 3027871440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 25*n**2 + 3504*n + 434. Calculate x(48).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*t + 20, -3*q - 9*t + 10*t - 15 = 0. Sort q, 3, 6 in ascending order.\nAnswer: q, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 2)*(z - 2*z + 2*z)*(4*z - 3*z**2 - 4*z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w - u, -2*w + 18 = -w - 3*u. What is the second derivative of -2912 - 2*t**4 - 2*t**4 + t**w + 3*t**4 - t + 2989 wrt t?\nAnswer: -12*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 2.92. Let d = -30.04 + 30. Which is the smallest value? (a) 1\/8 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-24)*8\/(-14). Let p = 0.162 - 101.162. Let v = p + 98. Which is the second biggest value? (a) 3 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1398, -40.\nAnswer: -40, -1, 5, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o = 1397 - 4294 - 3354. Sort -3, 1, 0, o, 4 in descending order.\nAnswer: 4, 1, 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*v - 19 - v**3 - 5 + 688*v + 25 in the form c + o*v**2 + n*v + j*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 327405467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 71. Let y = -12 - -33. What is the tens digit of a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-9)\/(-24)*(-8)\/(-20). Let w = -2.01 + 0.01. Sort -3, z, w in descending order.\nAnswer: z, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, q: 5}. What is prob of sequence qqqf?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09796 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30851, 28632, 22599, 10844, -8541?\n\"Answer: -318*h**3 + h**2 + 4*h + 31164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5960)\/(-15)*759\/92?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 774403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/26226 and -73\/14570?\nAnswer: 131130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3300))\/(sqrt(3) - ((4*(1*sqrt(3) + sqrt(3)) - sqrt(3)) + sqrt(3))).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 19296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38922655200768805171 - -813561339273101141252921\/20902. Let t = -12756270961 + h. Let x = 6\/1493 - t. Find the common denominator of 73\/10 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 851*w - 7588. What is the units digit of d(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 2. Let z(p) = p - 1. Let x = -1868 - -2723. Let c = 854 - x. Determine c*v(h) - 3*z(h).\nAnswer: h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3 + 12*s**2 - 18*s + 8 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*j - 11683, -2*j + 13 = 17. List the prime factors of g.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2824, -3331, -3836, -4339, -4840, -5339?\nAnswer: -5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28114 is divided by 1404?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -355, 0, 18\/29?\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x)\/(x*(x\/(((x**(-9)*x)\/x*x)\/x))\/x)*(x\/(x\/x**(-1)))**(-18\/13) assuming x is positive.\nAnswer: x**(-125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, p: 1, y: 11}. What is prob of sequence iiiy?\nAnswer: 385\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -176, -616, -1344, -2354, -3640, -5196, -7016, -9094?\n\"Answer: v**3 - 150*v**2 + 3*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 12, -369 in decreasing order.\nAnswer: 12, 9, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 2*k)*(k + k - 4*k) + k**2 + 0*k + 0*k + 5*k**2 - 2*k**2 - 2*k**2 + 3*k**2 - 7*k**2 + 2*k**2 + (-182 + 182 - 21*k)*(-k + k + k).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12861850 to the nearest ten thousand.\nAnswer: -12860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.84 - 94.84. Let z = -98 - t. Put z, 1, 22 in descending order.\nAnswer: 22, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*b + 300*b - 34440 = 103*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvz when four letters picked without replacement from vvvzvvvv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y**2 - 242*y**3 - 60*y**2 + 68*y**3 - 133*y**3 - 95*y**3.\nAnswer: -402*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 905, 1787, 2649, 3491, 4313, 5115?\n\"Answer: -10*z**2 + 912*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1288503 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 18 - 16. Let w = 118 + r. What is the highest common factor of 56 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3597 = -5*w - 3961, 3*g = -2*w + 22657. Suppose 4*j - g = 1163. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*n - 257*h + 261*h, -5*n + 79 = -6*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 283 = 781. Let w = k - 2239\/9. Let p = -3 - -3.5. Sort 2, w, p in increasing order.\nAnswer: w, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - b - 349916, -5*b = -5*d + 230031 - 35651. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 18, w: 1}. Give prob of picking 3 s and 1 w.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 5*d - 1. Let a(u) = -312*u**3 + 6*u**2 + 221*u + 6. Let t(f) = -a(f) - 6*h(f). What is the second derivative of t(c) wrt c?\nAnswer: 1872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 7. Let v = k - 3. Solve 5*r + 4*s - s = -3, 2*r + 3*s - 6 = v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l*l)\/l)**21*l**(-2)*l*l**(-1\/10)*(((l**(-2\/5)\/l*l)\/l)\/l*l)**(-3\/11)\/(l**(2\/5))**47 assuming l is positive.\nAnswer: l**(2473\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2111 * 707.9\nAnswer: -1494376.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52687 and 1388919?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*q**3 + 85*q**3 + 49*q**3 + 51*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3961692\nAnswer: 19808460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*t - 61, 112*v = 109*v + 2*t + 73. Calculate the greatest common factor of 9288 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let g = 45 + -63. Let f = g - -75. Let a(j) = 30*j**2 - f*j**2 + 25*j**2. What is a(t(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - -195576018?\nAnswer: 195576043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/3 - 49250*f**4\/3 - 1892287*f**3 - 1875870*f**2 = 0. Calculate f.\nAnswer: -114, -1, 0, 49365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264374 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 36. Let b = -18 + q. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81338\/27 + -3012. Find the common denominator of 157\/30 and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 683 = -595 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298693919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11.11. Let x = -7.11 - v. Let m = x - -4. Which is the third biggest value? (a) -1\/4 (b) -6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 42. Let q = -17 - -74. What is the highest common divisor of q and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2453, 2386, 2321, 2258, 2197, 2138, 2081?\n\"Answer: p**2 - 70*p + 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, s: 4, g: 3, j: 1}. Give prob of picking 2 s and 1 g.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-69)\/92*(-2)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 481 = -3*h - 0*h, 5*h = 5*d + 860. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 7 - 8. Suppose 0 - g = -l. Suppose l*x - 32 = 5*h - 2, 3*h - 11 = -4*x. Solve x*z = -2*b + 25, 3*b + z - 28 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24579\/715 - 445\/13. What is the common denominator of -22\/85 and i?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 69 - (20 + 4 + -1 - -5)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (36\/30)\/(3\/(-10)). Calculate the highest common divisor of 5 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n + 565. Let j be h(6). What is the greatest common divisor of j and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 804100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/45*(-10)\/4*2. Let q = -10 + 16. Does 4 divide (255\/(-10))\/(q\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -279\/4?\nAnswer: -279\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 - 195*c + 191*c - 16*c**3 + 22*c**3.\nAnswer: -30*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/42 - -2\/7. Let i(r) = r + 14. Let w be i(-12). Let s be w\/(-6) + (-28)\/(-48). What is the closest to s in -3, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270860.8 litres to millilitres.\nAnswer: 270860800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-22 + 22 + 24*d)*(3*d - 5*d + 0*d)*(6*d + d - d).\nAnswer: -288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19684419 + 2276\nAnswer: -19682143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8191 divided by 4168\nAnswer: -8191\/4168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (153 - 153 + 64*c)*(3*c**2 + 0*c + 0*c + (-3*c - c + 2*c)*(90*c + 122*c - 343*c)) to q*c + a*c**3 + b*c**2 + s and give a.\nAnswer: 16960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/20*1850\/222)\/10\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 0*t**2 + 0*t**2 + (0*t + 3*t - 2*t)*(t**4 + t**4 + 0*t**4) - 10 + 10 - 5*t**5 - 50*t**5 + 12*t**5 - 11*t**5.\nAnswer: -53*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 33*b + 273. Let l be k(17). Suppose -2*j = -t - 2, -5*t = -4*t - 4*j + 2. Sort -5, 0, t, l in descending order.\nAnswer: l, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -935895 divided by -645\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2759\/4?\nAnswer: 2759\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = 2*c, -2*c + 7*c = 3*v + 16. Solve -5*h = -5*m + 15, 4 + c = -5*h + 2*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2*i**(-10)*(i**34*i)\/(i*i**(-1\/3)*i) assuming i is positive.\nAnswer: i**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19296990 divided by -64755.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*b + 7786 = -34609 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664 = -203*l + 418 + 824 - 3450 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*j - 14 = 0, -5*q + q + 5*j + 1 = 0. Suppose -11 = -q*o - 3. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 46*h**3 + 9*h**2 - 13*h + 5. Let a be c(1). Let l be (-283)\/(10\/6 + -2). Suppose -7*b + l = -a. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18337102 divided by -2619586.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22723.7 decades to years.\nAnswer: 227237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d - 7. Let i(h) = -25*h + 13. Suppose -2*q - 2*w + w + 18 = 0, 5*w - 13 = -3*q. Let c(s) = q*n(s) + 6*i(s). What is the units digit of c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.41294 months?\nAnswer: 2.117745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3 - 1)*-1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -2.08. Let r = -18 + 14. Let w = r - -4.4. Which is the closest to -2\/7? (a) -0.2 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/7)\/p*p**1)\/(p**(1\/3)\/p**(-2)) assuming p is positive.\nAnswer: p**(-37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*g = -64, -5*g + 0*g - 60 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 less than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30*(18\/3)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) - 10\/(-12). Is 13 a factor of (2 - 0) + 23 + x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -2*f, 2*b + 5*f = 17 + 5. Let a be (2 + (-36)\/22)\/(2*b). Sort -0.2, a, 17.\nAnswer: -0.2, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + r**2 + 2 + (-248*r + 248*r + 8*r**2)*(0 - 2 - 3) + 7*r - 13*r**2 - 7*r in the form q*r + n + x*r**2 and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (386*v - 583*v + 1793*v)*(-3 + 0 + 1)*(2*v - 1 + 1)*(3*v - 3*v - v**2) to y + d*v + n*v**4 + g*v**2 + t*v**3 and give n.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1688 rounded to 3 decimal places?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.578403 decades?\nAnswer: 789.40836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -2. Let h = t - 6. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/11)*b*b*b**1)\/(b**1)**(-1\/43))**(-35) assuming b is positive.\nAnswer: b**(-47040\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 13\/12*i**4 + 0*i**3 + 2*i + 2 - 2\/3*i**2 - 7\/12*i**5. Let c(v) be the first derivative of q(v). Factor c(s).\nAnswer: -(s - 1)*(5*s - 2)*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 19*k + 23. Let w be l(20). Suppose -3 - w = -3*z. Put z, 5, -1, -5 in descending order.\nAnswer: 5, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - 0.3. Let i = -8 + 13. What is the smallest value in z, i, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3, -1, -37, -2, -1734, 0 in decreasing order.\nAnswer: 75, 3, 0, -1, -2, -37, -1734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29.5 (b) -1 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56\/75 - 2\/25. Let c be (-2)\/(-10)*5\/4. What is the second smallest value in c, -2\/3, k, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 11*u**2 + 11*u + 4. Let j(m) be the third derivative of m**6\/120 + m**5\/30 - m**4\/12 - 7*m**3\/6 - 18*m**2. Let a be j(-3). What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 19*b + b as n*b + h and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 5 = 0. Suppose -68 = 2*p - 5*n, x*p + 55 = n - 117. Find the common denominator of (1\/(-1))\/(p\/118) and -17\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23043 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 2 (c) -1\/1705\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 1\/21*p**4 + 2\/21*p**3 + 0*p**2 + 0 + 10*p. Factor i(m).\nAnswer: 4*m*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(75))**2 - sqrt(75).\nAnswer: 5*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 56*u + 90. Determine v(-23).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 87, 64, 25, -30?\n\"Answer: -8*p**2 + p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -583, -1071, -1551, -2017, -2463, -2883, -3271, -3621?\n\"Answer: r**3 - 2*r**2 - 489*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*v - 1380 = -1280*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p - 1. Let j be r(2). Suppose -j - 13 = -4*s. Let n be s\/(-12) - 3\/(-2). What is the biggest value in 5, n, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3945832649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 17 = 5*n + 4*p, -4*n - p + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 950140275 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -1 - 2. Suppose -12*g - 1270 = -1414. Sort g, -1, r in decreasing order.\nAnswer: g, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (883 - 913)\/(3\/12*-6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)\/(m*m**(5\/2))*m**(1\/8)*m**(3\/8)*m)\/(m**(2\/11)*m**(3\/2))**15 assuming m is positive.\nAnswer: m**(-1885\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n**(1\/3)*n*n))\/((n*n*n**5*n*n)\/(n*n*n\/(n\/(n\/n**(4\/5))*n)*n)) assuming n is positive.\nAnswer: n**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 2\/(-1) - 0. Let c(g) = g**2 + g - 2. Let i be c(s). Solve -12 - 4 = i*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b = -29*b + 39*b + 3285 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -2*k + 64 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.7243006 - -44667.3394694. Let t = 44429.065 - j. Let c = -279 - t. What is c rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2238 divided by 21\nAnswer: 746\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -345 times -0.2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/180028 and -149\/18?\nAnswer: 1620252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 10*y + 2. Let q be w(-10). Find the first derivative of -1 + 8 - 2 + q*a - 4*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -141, 1, -1 in decreasing order.\nAnswer: 4, 1, -1, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -33. Let a = -6 - r. Suppose -23 = -a*w + 33. What is the lowest common multiple of 16 and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22026 = 64*r - 67*r. Round r to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**3 + r. Suppose 3*p - 3 = -6. What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130861*c**5 - 27*c**2 + 34341526*c wrt c?\nAnswer: -2617220*c**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83*z**2 + 251*z**2 + 949 - 79*z**2 - 15*z**2 wrt z?\nAnswer: 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 1. Let j(x) = 665 + x - 665. Calculate -a(f) - j(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**19*t)**(-26)\/(t**(-4\/7)*t**(-15\/8)) assuming t is positive.\nAnswer: t**(24889\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -24*b + 12. Is 53 a factor of (-70668)\/(-169) + b\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:14 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/26 + 4180\/130. Let w = y + -32. Let o(s) = s**3 + s**2 + s - 9. Give o(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148533198 to the nearest integer?\nAnswer: 12187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.4769 to 1 decimal place.\nAnswer: 101.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 3*x + 3. Let c(r) = r**2 - 2*r + 2. Let i = 43 + 56. Let p = 97 - i. What is p*u(a) + 3*c(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -151\/8 (b) 9 (c) -5 (d) -4 (e) 5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29745 - 3186. List the prime factors of j.\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19921597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -131. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -145, -2 in decreasing order.\nAnswer: 0, -2, -4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*r + 3*r - 3, 5*h - 3 = -3*r. Suppose -4*u + 0*u + 56 = h. Suppose 4*a = q - 45, q - u - 37 = -2*a. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 4*o**2 + 1. Let d(b) = 8*b**3 - 5*b**2 - 1. Calculate 2*d(f) + 3*x(f).\nAnswer: -2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, o: 9, k: 2, n: 4}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - -178704?\nAnswer: 178653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -5 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((0 - -2) + -3). Differentiate 0*c - 10 + v*c + 9 - c with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*d = 13731, -5*s + 4*s + d + 13755 = 0. Let x = -3100 + s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 805888001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - j)*(-6 + 4 + 1)*(-9 + 10 + 6) + 3 - 3 - j + (3 - 2 + 1)*(-j - j + 0*j) - 3*j + 3*j - 2*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 1439\/11. Let r = 15 + -11. Suppose -r = 3*i - 1. Do i and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 43*l + 115*l + 151*l.\nAnswer: -l**2 + 309*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12)*(-72 + 84).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4342 + 6?\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -25, -5, 1, 2, -2, -182 in increasing order.\nAnswer: -182, -25, -11, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*z - 94 = -3*r, -4*r - 5*z - 364 = 0. Let o = r + 94. What is the remainder when ((-3)\/2)\/((-1)\/10) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 311cc0d?\nAnswer: -311cc10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3536202 and -0.7.\nAnswer: -2475341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752687 divided by -6?\nAnswer: 584229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -1\/20*j**4 + 1\/5*j**2 + 1\/15*j**3 + 0*j + 1. Factor d(b).\nAnswer: -b*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {d: 4, o: 1, e: 2, i: 1, l: 4, m: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2 (b) -32 (c) -0.21 (d) -0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 11 = j, 3*f + 31 = 5*j. Suppose 5*y + 3 = 33. Let g(o) = -4*o + 26. Calculate the remainder when j is divided by g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 - 69*m**2 - 44*m + 99. Let w be v(12). Suppose -1\/2*y - 5\/6*y**2 + 1\/6*y**4 - 1\/6*y**w + 0 = 0. Calculate y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 4*k + 91. Let x be 4\/(-18)*-18 + -15. Give w(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-8) - (-6)\/(-24). Suppose -4*l = -y*l. Suppose l - 10 = -u. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-32)\/96)\/((-2)\/(-24)) - 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(18)\/sqrt(9)) + -5 + -1 + (2*sqrt(11)*-2)**2)*2*-3.\nAnswer: -1020 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -42*v, 4*o - 5938*v = -5931*v - 30 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((172\/4)\/1)\/(84\/(-84)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 76821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 2*q**3 - 5*q**3 - 28*q**3 - 38*q**3 - 38*q**3 + 489.\nAnswer: -111*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 592*j**2 - 2284*j + 2880.\nAnswer: -4*(j - 1)*(j + 5)*(j + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 24320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(13) - sqrt(13)) + 5)**2.\nAnswer: -60*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/7, 0.47, -646, -3, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2784 - -4453. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4 - 62*j + 149*j - 84*j - j**2. Determine g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 56*r + 60.\nAnswer: -4*(r - 15)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110110000 + -100011011101101?\nAnswer: -100111010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(18\/12 + 0). What is the common denominator of (-30828)\/(-13104) - c\/3 and 91\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641283029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 18202\/617?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e32 (base 15) to base 5.\nAnswer: 2033242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 2. Let z be f(2). Let t = 350.9 + -351. Which is the biggest value? (a) -5 (b) t (c) z (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1.5 (c) -13\/16 (d) -3\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 929\/(-9) - 12\/54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + (-1*sqrt(171) - sqrt(171))) + (sqrt(171)*-2 - sqrt(171))*-1)\/(4*(sqrt(9) + sqrt(45)\/(2*sqrt(5) - sqrt(5)))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3360 by -14.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1208782*l**3 - 919954*l**2.\nAnswer: 7252692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39816)\/1264*(-4)\/56.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -345400 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*f, -2*d - f - 30 = -3*f. Suppose m - 8 = 5*m. Let c be -1*5*1\/1. Sort d, m, c.\nAnswer: d, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**22*j)\/j)\/(j*(j**(2\/9)\/j)\/j*j))**48 assuming j is positive.\nAnswer: j**(3136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.829 + 0.329. Put 2\/3, u, -9, 2\/7 in ascending order.\nAnswer: -9, u, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654702135 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 27, 18, 5, -12, -33?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1452 (base 6) to base 4.\nAnswer: -12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21547185\/604 + 35674. What is the common denominator of n and 113\/24?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/3, -1\/2, 7 in ascending order.\nAnswer: -1\/2, -1\/6, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 701732 (base 8) to base 4\nAnswer: 320033122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 549*a**5 - 2*a**2 - 110 wrt a.\nAnswer: 32940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) -1\/4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(5*sqrt(1152) + sqrt(1152)))\/((sqrt(7) - (sqrt(56)\/sqrt(200) + sqrt(7))) + sqrt(784)\/sqrt(7)).\nAnswer: 5*sqrt(3)\/1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-328))\/(3588\/9568).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176171*t**2 + 1150*t**4 - 176171*t**2 + (3*t - 2*t - 2*t)*(0 + 0 + t**3).\nAnswer: 1149*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x - 24. Let f be v(1). Suppose 3*p - 1251 = -9*h + 12*h, 4*p - h - 1680 = f. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2198 + -0.2198. Is q < 4225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5, 0*p + 4*w = 4*p - 4. Let i(u) = 3*u - 3*u + p*u**2 + 3*u - 3*u**2. Let h(f) = -2*f**2 - 2*f. Determine 5*h(y) + 4*i(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*-2*sqrt(5)*-6.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210407 > 210410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 65. What is the remainder when 61 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 + 12.8. Let c = 20.1 - j. Let q = 6 + -7. What is the closest to -1 in q, c, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 10*s + 8. Let y(w) = -w**2 + 11*w + 7. Determine -5*b(v) + 6*y(v).\nAnswer: -v**2 + 16*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9375, 0.8, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/((-24381)\/(-86)) + ((-4)\/21)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6690687 is divided by 6890?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 1. Let p be l(-1). Suppose 5*j = -2*g - 1 + 6, j = 3*g + 18. Solve j*x - 28 = -5*k, x + 7 = p*x + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 62*h + 7. Let m(l) = 18767*l. Give i(m(z)).\nAnswer: 1163554*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-4))\/(3\/6). Let l = 10 + v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 + 373. Suppose 2*a = -a + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/34866 and 5\/12299652?\nAnswer: 159895476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/27 and -79\/63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341691 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388511*g**2*o**3 - 54*g**2*o + 2*g*o**2 + 31*g*o - 3*o**2 wrt o?\nAnswer: -2331066*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/3 - 752*d\/3 = 0. Calculate d.\nAnswer: -752, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/36 and -13\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -442016 + 10?\nAnswer: -442006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6*z = -18, -30*k + 6 = -13*k - 21*k + 2*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 146?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1345 and 28783.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = -38*p + 27*p - 144. Let n(r) be the second derivative of 3\/8*r**4 + 1\/60*r**p + 0 + 1\/8*r**5 + 7\/12*r**3 + 1\/2*r**2 + 23*r. Factor n(i).\nAnswer: (i + 1)**3*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24184*z + 11068 wrt z.\nAnswer: -24184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1280035128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 706798 less than 706827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -429525247*r**2 + 12442689.\nAnswer: -859050494*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84027.45ml in litres?\nAnswer: 84.02745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 28 = -2*z. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b + 1. Suppose -8 = 3*v - 5*v. Suppose 3*w + v*g + 6 = 0, -w - 6*g - 13 = -g. Let s be (2\/(-3))\/(w\/6). What is z(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Let w be 2 + (-4 - -9 - 8). Which is the closest to 3? (a) 2 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 2, q: 2, l: 4, x: 3}. What is prob of sequence lqrl?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 2*h + 44, 14512*o - 14510*o + 12*h + 344 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187)\/(-561)*-24*(-1)\/(-796).\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392498 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6624403 is divided by 59679.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 726\/847*(-154)\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) -0.044 (d) 5 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -5)*(3 - 1). Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from qqqqqmqqqmqqmqqqqq?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 0. Let m be 7\/(-28) + g\/(-1). Let b be (-4)\/(-8)*(-2)\/4. What is the nearest to b in m, 0, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 756 = -3*r. Let m(h) = -h**2 + 4*h + 12. Let u be m(10). Let w = r + u. What is the greatest common factor of 60 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/546)\/(20\/14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, -1\/3, 5, 5\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2957 - -39.\nAnswer: -2918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = 3*s - 25, -2*y + 27 = 3*s. Suppose -3 = 2*i + 7. Let t = i + 8. What is the remainder when s is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1\/3*t**3 - 20*t + 0 + 3*t**4 + 7\/2*t**2. Find the second derivative of x(p) wrt p.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153\/18918 - 43*1\/186?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8444 rounded to 2 decimal places?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)*51\/(-68). Suppose 8 = 2*y + y - 2*k, 0 = l*k + 12. Find the third derivative of 5*n**5 - 3*n**2 + 3*n**2 + y*n**2 + 4*n**2 wrt n.\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -0.9.\nAnswer: -12, -1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*6\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5454191+-4\nAnswer: -5454195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**3\/3 + 189*g. Let j(c) = 1720*c**2. Determine x(j(w)).\nAnswer: 3440*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/(-180)*(-16)\/6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 - 391. Which is greater: k or -178?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 64*b**3 - 14*b**2 + 14*b - 5. Let g be u(9). Let a be 3\/2 + g\/26. Suppose -6*q - q = -a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a3 + -5?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 2*g**3 - 4*g**2 + 2*g**3 + g**3 - 2*g**3 + (2*g - g + g)*(0*g**2 - 2*g**2 + g**2) + 14 - 37*g**3 - 2 + 39*g**3.\nAnswer: 3*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from nnnbnnb.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3816 and 1765944.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(-27)*k**(6\/11)*k**(1\/4)*k assuming k is positive.\nAnswer: k**(-4673\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 4*t - 2. Let s(q) = -q + 2. Let h be s(7). Let j be o(h). Is 15 a factor of j\/3 + 30 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 9. Let i be o(-9). Let d be 87701 + -14 + -1 + (-2)\/2. Suppose i = -4*x + 376315 + d. Round x to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + (-22 - (-31 - -17) - -4) + 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 239, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1099)\/(-314)*(-4)\/154?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-72)\/(-2) - 3\/(-6))*1\/(-2). Is u >= -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177005 is divided by 25251?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1072 * 0.37.\nAnswer: 396.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 191929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2 - p + 3*p - 14 + 0*p. Suppose 4*x = -5*n + 18 + 18, -x = -5*n + 41. Calculate the remainder when 11 is divided by i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 18 = g - 0*z, -3*g + 14 = -2*z. Suppose -2*l + 4*q = -4*l + 2, 2 = -4*l - g*q. Let w = 32 - l. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/245814 and 27\/566.\nAnswer: 69565362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = -t. Let w(i) = -t - 8 + 3 + 3*i. Let g be w(5). What is the greatest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2446\/15 + -163. Let v(b) be the third derivative of i*b**5 + 3*b**2 + 0*b**3 + 0*b - 1\/12*b**4 - 1\/60*b**6 + 0. Solve v(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 1203784260*b + 72454827231187380.\nAnswer: 5*(b - 120378426)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 72, 2\/17, -0.5, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*j + 3*j + 4*j)*(28 - 38 + 110)*(0*j + j - 3*j) to the form l*j**2 + c*j + y and give l.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - v**3 + 9*v**2 - 52 - 8*v + 46. Let o be t(-7). Suppose -132 - o = -2*x. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19339693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i + 3. Let x be s(3). What is the first derivative of -3*u**4 + 15*u**3 - 15*u**x + 4 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**3 - 10*y**2 - 71*y - 329. What is h(-5)?\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 0*c = 0. Is -0.08 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*q, -11379*h - 20 = -11377*h - 6*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43852?\nAnswer: 2, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((9696\/48)\/1)\/(-2))\/(-1)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 822689500 to the nearest 100000.\nAnswer: 822700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from eemqddmeqqeeqmeqqee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Suppose 0*j = j - f. Solve -j - 2 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 38. Suppose -4*o + 18 = -g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*p**5 + 13*p**4 - 30*p**5 + 119*p**5 + 20*p**2 + 32*p**3.\nAnswer: p**2*(p + 1)*(p + 2)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*v - 18, 24*q + 4*v = 26*q - 2. What is the closest to 2\/3 in 0.12, -4, q?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 144*x**3 + 144*x**2 + 144*x - 144. Let t(d) = d**2 + d - 1. Determine -l(h) + 144*t(h).\nAnswer: -144*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 309*m - 66. Let w(c) = -42*c**2 + 6181*c - 1309. Give 119*q(h) - 6*w(h).\nAnswer: 14*h**2 - 315*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/20 - b**3\/15 + 242*b**2\/5 + 484*b\/5 + 5013. What is y in s(y) = 0?\nAnswer: -22, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36469, -36526, -36591, -36664, -36745, -36834?\n\"Answer: -4*g**2 - 45*g - 36420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 - 391*o**3 - 20*o**2 - 8 wrt o?\nAnswer: -24*o - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1056774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/((-252)\/2160) - -120.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooov when four letters picked without replacement from ovivooiiovii?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 260*0.098592\nAnswer: 25.63392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*w**4 + 148*w**3 - 20*w**2 = 0. What is w?\nAnswer: -10, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:50 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 - 369. Find the common denominator of 3 + ((-4)\/(-66))\/(36\/(-1578)) and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**6\/3 - 8*z**5 - 24*z**4 - 88*z**3\/3 - 14*z**2 - 126. Factor v(x).\nAnswer: -4*x*(x + 1)**3*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose -2*t = g - 17, t + g + 1 - 12 = y. 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 derivative of -2797*n**2 + 3166?\nAnswer: -5594*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/95)\/((6\/20)\/3). What is the hundreds digit of -17*(-2)\/(6*w\/(-348))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*n = 4*n - 54, 4*n = 8. Solve -2*z - d = 2*g, -28 = 5*z - 4*g - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.01873mg in micrograms?\nAnswer: 90018.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, c: 5}. Give prob of picking 3 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 18\/53 (b) 0.1 (c) 0.3 (d) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 5*m + 5. Let d(k) = -k**2 + k - 1. Let g = 7 + -12. Give g*d(c) - b(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 20*r - 600 = 0. What is the smallest common multiple of r and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viviiii. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/20160 + m**7\/5040 - m**6\/60 - 37*m**5\/30 - 4*m**2 + 2*m. Let j(z) be the third derivative of x(z). Calculate j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 + 893. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/20 and 43\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let z = -2074 + 2072.5. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12011871.\nAnswer: 3, 79, 50683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 245*a + 1854. What is the remainder when w(-7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, x: 9}. What is prob of sequence bxxx?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 2*i**3 - 2*i + 3 + 4*i - 19*i**2 + 11*i**2 - 4 + 85*i**4 to the form g*i**4 + m*i + u + r*i**2 + d*i**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-1 + sqrt(156) + sqrt(156))*-4)\/sqrt(6))\/(sqrt(800)*1).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 10556?\nAnswer: -10564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 = -2*b - 45, -27 = 3*b + 2*g. Let o be 0 + (-4)\/8 + b\/(-2). Solve -o*w + 9 = 2*x, 2*x = 6*x + 4*w - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaw when three letters picked without replacement from jfgwa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*i - 2, -3*i + 82 = 5*k. Let j(g) be the first derivative of g**2\/2 + 19*g + 4. Let x be j(-16). Solve -x*s + 2 = k, 2*q = -s - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/5040 + 13*h**5\/30 + 42*h**2. Let m(p) be the third derivative of l(p). Let i(g) = -20*g**2. Give i(m(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10185805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 209 * 79.7\nAnswer: 16657.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = m - 32, -93*p = -95*p + 47*m - 1136 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165702 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 9 = -6*g. Suppose -5*b + 265 = 2*n - 350, -4*n = -g*b + 395. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2981 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Solve -h*q + 8 = 4*j, -3*j = -0*j + 2*q - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Suppose -6*p + 4*p - 3*f = -98, 2*p - 5*f - 114 = t. Let v be 8\/p + (-579)\/(-39). Solve -4*w + w = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*d + 153257 = 8946*d - 291692 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/2619 - 40421\/5238. What is the common denominator of 3\/1078 and u?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -8b940?\nAnswer: -8b918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111 (base 2) in base 12?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/45 - 4)\/(3\/(-27)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let b be 9*5\/(-15) - -11. Give p(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -66*s**3 - 9*s**2 + 2*s - 11. What is the hundreds digit of g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = -4*v. Solve 2*z - v = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14217 + -6580. Let o = x - 3384. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233704 divided by 308426?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33236 is divided by 16051.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*l + 2 = -2, -1 = 3*w + 5*l. Let x = 1 + w. Suppose -6*y = 7 - 25. Put x, -5, y in increasing order.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 30*x + 218. Let t be q(-36). Let y = 13 + -13. Solve y*u = u + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11159180 divided by 2789795?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.4 (c) -0.2 (d) 1\/2809000 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4923, 4929, 4935, 4941, 4947?\nAnswer: 4953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 2. Let l = -6 + n. Let q = 8 + l. What is the second biggest value in -2, 2\/5, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3016840 divided by 40.\nAnswer: -75421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 2. Suppose 0 = 5*b - 4 - s. Let m(h) be the second derivative of h**3\/6 - h**2\/2 + 8*h. Calculate m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210030 (base 4) in base 7?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -4) + 2 + 1. Suppose t = -a + 1 + 2. Suppose -3*z + 24 = -a. Calculate the remainder when 43 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -189a?\nAnswer: 189c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1270471*h**4 - 300325*h?\nAnswer: 15245652*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 135, 371, 825, 1569, 2675, 4215, 6261?\nAnswer: 8885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-7)\/(1260\/(-9)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423360 divided by -5?\nAnswer: -84672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36405 greater than 182022\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 - 1105\/(-1326)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 2*n + 3*n + n - 2*n + 3*n + 4*n + 5*n - 4*n + (n + 2*n - n)*(3 - 3 + 2) + 0*n + 0*n + n - 7 - 4*n + 7 + 2 + 1 - 3*n + 2*n.\nAnswer: 6*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000151576 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 179*h**3 + 9*h + 8. Let c(m) = 360*m**3 + 16*m + 14. Determine 3*c(j) - 5*z(j).\nAnswer: 185*j**3 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.63769mm in kilometers?\nAnswer: 0.00000863769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1\/3, -1.2, 2, -1998 in ascending order.\nAnswer: -1998, -1.2, 0.08, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v - 3. Let w be m(-2). Suppose 3*l - 49 = -j + w, -5*l - 3*j = -198. Suppose -l = -5*a + 2*a. Calculate the remainder when 40 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -14*x + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 481*g**2 + 61*g - 511. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 0.2 (c) -8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzkk when four letters picked without replacement from zkkkzkkkkkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96760 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**3 - 46*y**2 - 8*y + 38. Calculate q(5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 2, -3, -4, 5, 30, 77?\n\"Answer: h**3 - 7*h**2 + 11*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9)*18\/24. Put 5, m, -2 in increasing order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 4. Let x be h(-7). Is ((-4)\/(-12))\/(2\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -25355219202?\nAnswer: 25355219203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -4, -28255, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073 is divided by 337?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 2 - 2 + 36*w**3.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326 + 543. Suppose q = 13*z - 6*z. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5774*s - 5774. Let i be o(1). Let m = 10 - 7. Let v = -6 + 10. Solve 3*c - 3*w = m, 3*c - 2*w - v = -i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1686019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -12*t + 5*q - 2695, -2*q = -10. Is -532 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 5*z + 358 = -20*w, 0 = -6*w + 5*z + 1154. Calculate the smallest common multiple of w and 330.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*c*x + 116*x with respect to c.\nAnswer: 129*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j + 74*j + 144 = 0. Is -23 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3651 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, 1\/5.\nAnswer: -3, 1\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-5 + 8 - -1). Suppose -1995 = -17*n + r*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -641736\nAnswer: 20535552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 39 = 2*c, -5*c = -5*z - 119 + 4. Suppose 2*t = 32 + 8. Calculate the lowest common multiple of c and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1254*l = -1211*l - 343269. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -2\/5, 2158\/15, 0.5, 25\/6, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -90, -99, -102, -93?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from hhhhhhoooyoohohhyh.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 - 585 = -22*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4632 + -4507. What is the highest common divisor of 8000 and b?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*9\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)*i**(-8))\/(i**(1\/7)\/i**0))**(-4\/5) assuming i is positive.\nAnswer: i**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + -2 + -4 - -7) - -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -33. Let h = -33 + u. What is the units digit of -1*(-46 + -2 - h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or 322\/3?\nAnswer: 322\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c + 2 = 0. Let f be -3 - (5 + c + 9). What is the units digit of 2 - 3 - f - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24477, 1219, 3.\nAnswer: -5, 3, 1219, 24477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 r when four letters picked without replacement from sssrrssrrssssssssrs.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.03\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -796 - -791. Let b be (-54)\/8 - (-1)\/(-4). Sort b, 2, x in decreasing order.\nAnswer: 2, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 20*f - 62\/3.\nAnswer: 2*(f - 1)*(f + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(21)\/(sqrt(30)\/(-2*sqrt(10) + sqrt(10)) - sqrt(3)) + -3)**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33679 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let a be (-1)\/(-1*z\/(-5)). Solve 10 = -m + 2*q, 30 = -3*m + a*q + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 27 = -4*w. Calculate the remainder when w is divided by ((-75)\/(-325) + 36\/13)\/((-6)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -5*t**4\/24 + 4*t**2. Let u(y) = 4*y. What is -5*j(c) - 6*u(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1756473 and 57963609?\nAnswer: 57963609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:32 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 21a8?\nAnswer: 21aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231960 divided by -267?\nAnswer: -77320\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140027, 280163, 420307, 560465, 700643, 840847?\nAnswer: 981083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - 32*f**2 - 16*f + 9. Let h be c(7). Suppose 48 = m - 2*n, -h = 4*m - 5*m + n. What is the greatest common factor of 640 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + 12112?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 3*q + q + 0*q - q + 0*q + (-3 - 2 + 4)*(-3*q + 6*q - 2*q) + 0 + 0 + q - q + 0*q - q - 2*q + 3*q - 2*q + (17*q - 4*q + 29*q)*(4 + 1 - 2).\nAnswer: 119*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*g + 45 = 0, 3*s = s - g + 15. Solve o - 3*n = 0, -3*o - s = -2*n + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 71861*v + 790474. What is w(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00186666 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*b**4 - 183*b**4 + 146*b**3 - 2 - 255*b**3 to the form d*b**4 + s*b**3 + g + v*b**2 + f*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321937 and 814?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 8*x + 555. Suppose 5*c + 112 = 4*a, -a + 6*a + c = x. What is the greatest common divisor of a and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 84. Let r be v(41). Solve 0 = -r*q + 10 - 0, -2*q = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**7\/98 - 33*a**6\/70 - 279*a**5\/140 - 13*a**4\/4 - 15*a**3\/7 - a - 16. Factor r(s).\nAnswer: -3*s*(s + 1)**3*(s + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0836 to 3 dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.06, -2\/3.\nAnswer: -3, -1.06, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 17*w - 2. Suppose 0 = g + 1 - 18. Let z be j(g). What is the remainder when (-9852)\/(-108) + z\/9 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59*(-47)\/(-16638) + ((-2)\/(-48))\/(-1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16547 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1417\/5 - 60\/(-100). Let a = 7 + -4. Suppose -s = -a*f + 79. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 p when four letters picked without replacement from {p: 8, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 3 + (-21 - -17). Solve g = p + 19 - 17, p + 5 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.15 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u + 13 + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.097*-107119\nAnswer: -10390.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 29*l**4\/24 + 22*l**2. Let c(s) = -15*s. Give c(q(v)).\nAnswer: -435*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*78\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2995 and 20.\nAnswer: 11980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37066442 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 495\/(-80) + 6 - (-20126)\/8352\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -884 and 18.42834.\nAnswer: -865.57166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k - 87*k - 4878 + 28*k + 31*k.\nAnswer: 2*k - 4878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16023798 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 48. Let j(h) be the first derivative of 30*h - 2*h**5 - 30*h + 0*h**5 + 19 + 10*h**v. What is the second derivative of j(g) wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 + 3*j**3)*(-5*j**2 + 2*j**2 + j**2) + 3*j**5 + j**3 - j**3 - 2*j**3.\nAnswer: -11*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*((5 - 3 - 4)*(2*o - 6*o + 3*o) + 3 + 3*o - 3).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {m: 1, k: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*sqrt(475) + 5*(3 + sqrt(475))**2 - (4*sqrt(475)*1 - (sqrt(475) + sqrt(475)*3*2 - sqrt(475))**2).\nAnswer: 145*sqrt(19) + 19518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (14 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3 - 24) + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99) + 1 - sqrt(99)) - ((-1 + sqrt(99) - sqrt(99))*2 + sqrt(99)))**2*2 + (-6*(-2 + sqrt(99)) - (5 + (sqrt(99) + 1 - sqrt(99))))**2)*-6.\nAnswer: -22896 + 1512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32407830 divided by -24570.\nAnswer: -1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -24. Let h be 143*2*(-1)\/q. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 335811008 and 3776.\nAnswer: 335811008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/(10\/15). Suppose -6 + 26 = 3*u - 2*b, 4*b + 16 = 3*u. What is the remainder when 17 + (-12)\/(-4)*g is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -1. Suppose -4*u - 4 + 24 = 0, -3*i = -3*u + j. Suppose 5*v + 11000000 = i*v. Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*g + 827*g = 2508 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) - (-198)\/(-220)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*k + 740 - 515, 0 = 3*d + 2*k - 522. What is the greatest common factor of 840 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36347825 to the power of 1\/2, to the nearest integer?\nAnswer: 6029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 8. Let h be s(-6). Let d = h + -6. Find the second derivative of -o - 17*o**d + 0*o + 20*o**4 wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2)**(2\/65))**(-6))**28 assuming p is positive.\nAnswer: p**(-672\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.4 + -0.6. Let n = -10.2 - y. Put 4, -6, n in increasing order.\nAnswer: -6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.57 - -17.57. Which is the nearest to 0? (a) 0.5 (b) -1\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672523 divided by 41\nAnswer: -16403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136952028 divided by -2?\nAnswer: 68476014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 + 8*i**4 + 10*i**3.\nAnswer: -2*i**3*(i - 5)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*g**3 - 147*g + 147*g + (-4*g + 3*g + 2*g)*(0*g**2 - 5*g**2 + 4*g**2) - 3*g**3 + 0*g**3 + 5*g**3.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/3 (b) -1 (c) 2.946 (d) 0.4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 2*n - 1 = n. Solve -m + a + 3 = -n, -3*a = i*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 5\/4 (c) 0.3 (d) 2\/21 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**5 - 72*m**4 + 368*m**3 + 288*m**2 - 1408*m = 0.\nAnswer: -22, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 1292.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10645 + 255553\/24. Calculate the common denominator of d and -68\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 17*a**2 - 34*a + 310. Calculate h(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + 6*t - 19. Let k(i) = 1742*i**2 - 4*i + 4*i - 1743*i**2. Calculate g(k(p)).\nAnswer: -6*p**4 - 6*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 3. Let w(q) = -8*q - 3. Let t = 2297 - 2299. Give t*w(c) - 3*m(c).\nAnswer: -5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 - t**5 + 0*t**5 + (4*t**2 - 7 + 0*t**2 + 9)*(8340*t + 188*t**3 - 8340*t).\nAnswer: 751*t**5 + 376*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -582, -1282, -2248, -3474?\nAnswer: -4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 5413, 12297, 21967, 34423, 49665, 67693?\nAnswer: 88507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.05 (b) 2\/17 (c) 1\/72 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61792 + 13?\nAnswer: 617a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:08 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6724536.21291 + -128.21291. Let a = -6724771.9707 + h. Let k = -364 - a. What is k rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 146. Let g = -24 - -11. Is g < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/195 - 13\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 148 = -30*y - 41*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11605453 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30276 is divided by 1210?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1141 (base 6) to base 11\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 894*(-4 - 72\/(-16)). Suppose 11*z - p = -172. What is the lowest common multiple of z and 26?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Suppose d = 5*k, -o*k - 16 = -4*d - k. Suppose 2*n = d*n - 6. Solve 4 = n*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let m = 0.04 + 4.36. Let c = 4 - m. What is the closest to j in 1, c, -5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**2\/5 - 4718*x\/25 + 118\/25.\nAnswer: -2*(x + 59)*(40*x - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-682)\/(-372)). What is the biggest value in -0.1, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 983304 and 2212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/15 - 56*z**2\/15 - 126*z\/5 - 108\/5.\nAnswer: -2*(z + 1)*(z + 9)*(z + 18)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.206 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-5))\/((-8)\/100*-5). Suppose a - 16 - 19 = -4*s, -g*s = 4*a - 20. Suppose -3*y = 13 - 253. What is the highest common factor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15785, -31580, -47375, -63170, -78965?\n\"Answer: -15795*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/5))\/(s\/s**(5\/11)) assuming s is positive.\nAnswer: s**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5780 is divided by 263.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1472 + 14.\nAnswer: 13.8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27ac94 (base 15) in base 12?\nAnswer: -7811aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 886180 and 5570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**3 - 1 - 15*k**3 + 7*k**3 + k**4 - 2*k**2 + 9*k in the form r*k**4 + l*k**3 + q + y*k**2 + n*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(2) - sqrt(5))**2 + (sqrt(5)*5*-6 + sqrt(5))**2 - (sqrt(60)\/(sqrt(12)*5) + 2 + sqrt(5) + 1).\nAnswer: -6*sqrt(5)\/5 + 4327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c**3 + 67*c**3 + 3*c**5 - 44*c**3 - 2388*c**2 + 2*c**4 + 83*c**3 + 256*c**3 wrt c.\nAnswer: 180*c**2 + 48*c + 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*r - 30*r + 106*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*5)\/sqrt(12) + 1*(-2 + sqrt(7)).\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1490940 by 24849.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -95 + 32. Suppose 5 = -4*h + 4*v + 1, 0 = 5*h - 2*v - 4. Suppose h*d + 24 = 6*d. What is the remainder when t is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 o when four letters picked without replacement from {o: 4, d: 4, s: 1, w: 2, c: 2, i: 1}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002200713531 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8897\/14 - (0 + 1\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563470071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -3 - -15169 - (-97 - -107)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92a31741 - -5?\nAnswer: 92a31746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*q - 382, 4*q + 4*s = q + 283. Let n = -54 + q. What is the greatest common divisor of n and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 52, 119, 224, 373, 572?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265*a*n**3 + 140*a*n**2 - 2*a*n - 5*a - 1160*n - 2 wrt n?\nAnswer: -1590*a*n + 280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126819248.\nAnswer: 2, 53, 149551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -2, -4, -2, 4, 14, 28?\n\"Answer: 2*l**2 - 12*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 651 - 388. Let x = -263.0199 + u. Round x to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 789*l**6 - 410*l**2 wrt l?\nAnswer: 94680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -55 - ((12 - 10) + 1 + (3 + -10 - -12))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 - (-16 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 178*d**2 + 6*d**3 - 95*d**2 - 2*d**3 - 82*d**2 to the form m*d**3 + n*d + l + q*d**2 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070310396 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83559754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 + 79. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - 2*c**2 - 4*c**2. Let z(p) = 5*p. Calculate v(z(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12097460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -41 + 99\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by 196\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:24 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 - 4794*t\/5 + 236691\/5.\nAnswer: 3*(t - 1547)*(t - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272) - ((sqrt(272) - (sqrt(272) + 1))**2 + 0)) + 1*(2 + sqrt(272))**2.\nAnswer: 20*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 5*x + 20, q + x - 2 - 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/111 (b) -1 (c) -3\/7 (d) 1\/2 (e) -4 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 60*l**2 - 80*l**2 + 18*l**2. Let v(p) = 356*p. Let z(h) = -178*h. Let c(r) = 2*v(r) + 5*z(r). Give c(s(j)).\nAnswer: 356*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 - 2234*g**3 - 115450*g**2 - 1458750*g = 0.\nAnswer: -25, 0, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 9*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 25 = -2*m. Suppose 0 = -5*b + 2*c + 70 + m, -3*b = -3*c - 51. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 1. Suppose v = -3*v + 3*q + 184, -c*v = -2*q - 92. Suppose -5*o = -221 + v. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333332 (base 5) in base 9?\nAnswer: -41450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -5, 0.2, 6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let x(m) be the first derivative of -3*m**3 + 16. Give k(x(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + y**3 + 0*y**3 + (-2*y**2 + y**2 + 3*y**2)*(6 - 6 - 20*y).\nAnswer: -38*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 65. Suppose -3*n + 3*r - r - 2 = p, n - 2*r - 6 = 0. Let s(m) = -618*m + 19. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 32*f - 140. Let r be o(-36). Let c(j) = -30*j**3 - 25*j**2 + 25*j - 25. Let s(l) = 5*l**3 + 4*l**2 - 4*l + 4. What is r*c(y) + 25*s(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/24*(-378)\/(-105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2600a57 (base 12) to base 14\nAnswer: dc5031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a2 (base 12) to base 14.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:18 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 + i. Determine x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 + 60279120939?\nAnswer: 60279120941.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 119*z + 756. Calculate l(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 296063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -8)*(-15)\/(-15). What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/18 and -43\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**7\/630 - x**6\/90 - 2*x**2 + 10. Let p(u) be the second derivative of c(u). Determine a, given that p(a) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484930.\nAnswer: 2, 5, 71, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -208313*n - 9582395. Determine g(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*x + 4*b = -615*x + 310*x + 3*b + 16, 120*b - 468 = -2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 48558. Let o = -2679 - q. Round o to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11120583*y**2 - 97*y - 46618?\nAnswer: 22241166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2124, 2\/15, 0.5, -3, -5, 1\/16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-175))\/((92\/368)\/((-7)\/4))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04543 and -0.085.\nAnswer: -0.03957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -199 and -200 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let x be l(3). Suppose x*s = -3*j + 3*s + 639, -4*s + 430 = 2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/2240*-48)\/(27\/312)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 766.9?\nAnswer: 766.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -6*f - 63 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/((-3440)\/(-5289)))\/(6\/(-4)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.534 - 0.134. Let z = -92.6 - a. Let k = z + 93.00045. What is k rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 92348*j\/9 + 8650130.\nAnswer: 2*(j - 45315)*(j - 859)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 430 + 87*y**3 - 430 - 3*y**3 + 96*y**2 + 16*y - 74*y**4 - 122*y**4.\nAnswer: -4*y*(y - 1)*(7*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 7*j**2 - 9*j - 17. Let k(p) = 2*p**2 + 14*p - 4. Let r be k(-8). Suppose 4*u = r*u + 48. Let m be f(u). Is m at most -4\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16395.8 - 2535.\nAnswer: -18930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7356 by -1226.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 361, 816, 1453, 2272, 3273?\nAnswer: 4456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67083.122 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*l + 502015*h**3 + 271*h**2*l - 6*h**2 + h - 25 wrt h.\nAnswer: -12*l + 3012090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471738245*r**5 - r**2 - 83753534*r - 2 wrt r?\nAnswer: 9434764900*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -320, -307, -290?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 5\/3*d**3 + 5\/3*d - 2.\nAnswer: -(d - 1)*(d + 1)*(5*d - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 + 8 = 0. Calculate the remainder when 51 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.004 (b) 0.7 (c) 3\/10 (d) 4 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3 - 7*t + 21*t + 3 - 13*t. Let s(b) = 29*b**2. Calculate z(s(n)).\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 25. Let u be x\/(-14) + (-10)\/35. Suppose -5*z + u*z + 30 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3366*y. Let k(o) = -o**2 - 77. Give k(g(a)).\nAnswer: -11329956*a**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0524 + 0.2854. Let l = -132.233 + m. Let p = l + 132.153. Round p to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8\/13)\/(a**(-2)*a))**(-28) assuming a is positive.\nAnswer: a**(-140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/2 (b) 0 (c) -3 (d) 55 (e) -4 (f) 303 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-25) - 0)\/(181\/(-905)). Let u be ((-40)\/15 - -2)*-6. Put -44, u, y in ascending order.\nAnswer: -44, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-3)\/1)*-3. Let x(l) = -l**2 + l + 1. Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23857 - -1.76143. Let b = -0.22 + 0.05. Let m = b - -7.17. Sort s, -0.4, m.\nAnswer: -0.4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22 - 12 - 3*j + 3 wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11950 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 22*l**2 + 6*l - 46. Let x(s) = -24*s**2 - 6*s + 61. What is -4*w(u) - 3*x(u)?\nAnswer: -16*u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/7 + -10\/21. Which is the closest to 1? (a) 0.5 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/3 - (-3 + 0). Which is bigger: m or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110110 + 101101001011001?\nAnswer: 101110011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Suppose 1 + 3 = 4*g, -157 = -5*v + z*g. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/50 - t**4\/15 - t**3\/15 + 2*t**2\/5 + t. Factor g(z).\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k**2\/7 + 680*k\/7 + 2312\/7 = 0. Calculate k.\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4728 (base 12) to base 5.\nAnswer: 223302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 25*x. List the prime factors of g(-21).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/819*-9*4\/14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 - 1231*r**2 + 3827*r + 466. Determine s(202).\nAnswer: -1756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rku when three letters picked without replacement from ruurrkukkkrrrurrruu.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 267209017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(-1*(-6)\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2125507 and 1828?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:31 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 369 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 10 = -5*k - 5*w, 2*k = -3*w - 7. Let d = 8 + -4. Calculate the remainder when -3 + k - -4 - -5 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Solve -d + 12 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/157555561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1297*h - 97237. Suppose -14 = -i + 96. What is the remainder when i is divided by s(-75)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29793981 divided by 6\nAnswer: -9931327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.7, -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvbvhfvubbvhbbvvv. Give prob of sequence fvh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from ooaoaaoaoaao?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 177, -0.06, 8, -3\/4?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*m + 20, -19*y + 18*y + 2*m = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 26*t - 25*t. Let i = t + 104. What are the prime factors of (-4)\/(6\/(-120) + (i - 1))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + -1 + 0 + (sqrt(1872) + sqrt(1872)*-2)**2 + -4 + sqrt(832) + sqrt(832)*-2.\nAnswer: -6*sqrt(13) + 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*p + 65*f**4 + 16*f**3*p + 2*f**3 - 3*f**2*p + 4*f**2 - 3*f*p - 66*f wrt f?\nAnswer: -24*f*p + 1560*f + 96*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g. Let o(k) = -69*k**2 - 2. What is y(o(c))?\nAnswer: -345*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -68*w + 81*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y**3 - 4*y**2 + 4*y + 4. Let n(d) = 273*d**3 + 65*d**2 - 65*d - 65. Determine 4*n(i) + 65*r(i).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*s = -2, -24 = 36*t - 40*t + 4*s for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 + -116. Let b = g - 89. Calculate the remainder when b is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -217, -366, -445, -454, -393, -262?\n\"Answer: 35*a**2 - 254*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.14, -2, 61 in decreasing order.\nAnswer: 61, 2, 0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 13*h - 9*h - 10*h + 4*h.\nAnswer: -2*h - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4180\/(-11)*((-330)\/(-30))\/(-110).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = -23*t + 10*t + 18*t, 0 = -4*z + 23*t + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*s + 264*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1019 and 1019 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13))**(-25)\/(d**(-1\/15)*d\/(d*d**10)) assuming d is positive.\nAnswer: d**(5026\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 10, n: 6}. What is prob of picking 1 w and 1 d?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*s + 5. Suppose 4 = 18*k - s*k. Solve -4 = k*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25823905.\nAnswer: 5, 5164781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38776 - 6827 = 1491*o - 38988 - 31942 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -104452550.6 - -0.1\nAnswer: -104452550.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202431.\nAnswer: 3, 67477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:56 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**2 - 15*x + 15*x + (-6*x**2 + 3*x**2 + 2*x**2)*(-4 + 0 + 8).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 - 20*a**2 + 21*a**2.\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p**2 + 11. Let n(z) = -3*z**3 - 15*z**2 - 14*z + 63. Let f(d) = -5*c(d) + n(d). Determine f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f - 6, -8*f = -3*f + 4*t - 3. Suppose -f*o = o - 36. What is the units digit of (1 - 13)*(-6)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a028 - -6?\nAnswer: -11a022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127755590 and 2778?\nAnswer: 383266770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 0*b = 12. Solve -6 + b = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 12) in base 14?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -513 - 8887.\nAnswer: -9400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:21 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1663*z**2 - 43225*z + 93. Give m(-26).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18539 + -194.81461. Which is bigger: g or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 38*p - 1772080 = -61*p. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.995 rounded to one decimal place?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*l + 40 = 0, 3*l = -c - 4 - 2. Let d be (-48 + 0)\/((-990)\/(-40) - 24). Let g be (c\/(-4))\/((-32)\/d). What is the nearest to 1\/3 in -0.2, -0.3, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -27*c**3 - 6*c**2 - 2*c + 4. Let q be a(-3). Round q to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721144047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3698102+0.33795605\nAnswer: -0.03185415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let b be -2 + 1 + 8*n. Suppose -5*p + b + 8 = 0. Solve d + 4 = t + 12, -p*d = -12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/5, -3\/34, -2.8, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 96. Let s be l*(546\/72 - 8). Solve -3*n = -2*k - 4*n + 12, 28 = s*k + 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 12 = 3*h, -44 = -210*a + 219*a + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96682 - 14*k + 96682.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/148 + 2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 + -151. Let r be 12\/42 + (u\/(-14))\/(-3). Suppose 2*f = -r*v - 10 + 94, 5*f - 140 = -5*v. Solve -3*g + 2*i = 2*g - 23, 5*g + 3*i = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -111100100001111111110?\nAnswer: 111100100001111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/4 + p**3\/2 + p**2 + 31*p. Let f be w(-2). Solve -t = 2*a - f, -2*a + 23 = -4*t + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301218?\nAnswer: 2, 650609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + w - 15. Determine x(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)\/s*s)**(-2\/5)*s**5\/(s*s*(s**(-3\/4)*s)\/s)*s*s**(-1\/6)*s*s**(3\/2)*s*s\/(s**(1\/3)\/s)*s**(-5\/4) assuming s is positive.\nAnswer: s**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 229?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -3 - (-2 - -2). Suppose -13 = 3*y + 3*q - 1, 4*q = -w*y - 13. Let g be (-56)\/21*y\/2. Solve 7*s + 9 = g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a + 20 = 0. Let t = a + 9. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/18)*a**(-10\/9)*(a\/(a*a**(-1)*a*a))**(2\/23) assuming a is positive.\nAnswer: a**(-473\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 0.26, -2.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3049, 3051, 3055, 3061?\n\"Answer: i**2 - i + 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*3*sqrt(114) + sqrt(114)))\/(sqrt(24)*5 + sqrt(600) + 1*sqrt(600)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -41*j**6\/24 - j**5\/12 - j**4\/8 + j**3\/2 + 39*j**2. Let p be a(6). Is p\/(-35) + 2\/7 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 7994206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 306, 1001, 2346, 4557, 7850, 12441?\n\"Answer: 36*g**3 + g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599582 is divided by 15360?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7699*b = 5*t - 7656*b + 47 - 168, 4*t - 5*b = 18 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.3, -3\/34, -58?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let n = 29 + -27. Let c(x) = -29*x**2 + 26*x**2 - 8*x**2 - 18*x**n. Calculate c(y(g)).\nAnswer: -464*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(((i*i*i**(-2\/7)*i*i*i)\/i)\/i)\/i)\/(i\/(i*i*i*i*i\/(i*i**(-9))*i*i*i)))**(-21) assuming i is positive.\nAnswer: i**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2\/5) + (-2 - -4). Solve -2*z - 3 = f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -2 - -26 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - u - 3. Let b be g(-2). Let h be ((-13)\/5 + b + -8)*-40. Calculate the highest common factor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -942.529 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 131000220233 (base 4) to base 8\nAnswer: 35005057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 - 14*s + 18. Let b = -150 - -142. Let f be z(b). Solve -v - v + f*t = 6, 0 = 3*v + 3*t - 21 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3414631 to three decimal places.\nAnswer: 1.341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 5*o + 30 = 7*z + 5, -2*o = -2*z + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - -1) - (5 + -4 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 44*z - 10*z to g + r*z and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:27 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 296*h\/5 + 294\/5.\nAnswer: 2*(h - 147)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:03 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:47 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:56 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*h + 798 + 291 = 0. Let c(p) be the second derivative of -1\/5*p**6 + 0*p**2 - 7\/10*p**5 + 0*p**4 + 0 - h*p + 4\/3*p**3. Factor c(z).\nAnswer: -2*z*(z + 1)*(z + 2)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 8*t - 11. Let h be w(6). Let k be ((-24)\/(-66))\/(-10 + (-1 - -9)). Let a = -0.06 + 5.06. What is the biggest value in a, -0.1, k, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 - 40)*(-h**2 + 2*h**2 - 2*h**2).\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9949 + -9905. Let n = -9 - -13. What is the third smallest value in b, -2, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -968000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1495, -4083, -6671?\n\"Answer: -2588*y + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 69*j - 42. Let x(f) = -82*f + 41. Determine 6*p(m) + 5*x(m).\nAnswer: 4*m - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (64806*f**2 - 30456*f**2 - 4*f - 3*f**3 - 2 - 28957*f**2)*(-4*f + 5*f - 3*f) in the form t*f**2 + x + q*f**4 + k*f**3 + z*f and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573) + 1 + -5)**2 - ((sqrt(1573) + sqrt(1573)*1 + sqrt(1573))*3 + 4 + (sqrt(1573) - 2*sqrt(1573)))**2.\nAnswer: -99099 - 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98271 divided by 389.\nAnswer: -98271\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 1241?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61801.961 - -61768. Let h = t + 34. What is h rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*d**4 - 3*d**3 + 76639*d**2 + 63755*d - 196 wrt d?\nAnswer: 348*d**2 - 18*d + 153278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9589 or 2342?\nAnswer: -9589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-12)*4\/(-30)*(-17)\/34. What is the biggest value in l, 2\/9, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -957283765?\nAnswer: -957283770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 - 4*t - 9. Suppose 9*i = 4*i + 35. What is the tens digit of v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 18*r**3 - 21*r**3 + 8*r**2 + 2*r**2. Let v(y) = -y**3 + y**2. Let q(s) = p(s) - 4*v(s). Determine q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16723537 (base 8) in base 9?\nAnswer: 7317706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjbjjbjbj. Give prob of sequence bj.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 74*t = -77*t - 2127042, 5*c - 4*t - 3545063 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21399395304 and -1.\nAnswer: -21399395305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 28*u**2 - 9*u + 66. List the prime factors of b(-22).\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71540180 to the power of 1\/2, to the nearest integer?\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.4 and -2152055?\nAnswer: 2152058.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -315*u**3 - 25*u**2 + 5*u - 2. What is j(1)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:27 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755400.\nAnswer: 2, 3, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10) + 5\/2. Let v(g) be the third derivative of 0*g**3 + 0*g + 0 + 0*g**4 - 3*g**p - 1\/60*g**5. Let b(c) = 3*c. What is v(b(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47221 - -2193. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkivqqqivr. Give prob of picking 1 i, 1 v, and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from qzt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*z = -175*z + 18. Let s = 18 + -18. What is the second smallest value in s, z, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1620) + (sqrt(1620) + (4 + sqrt(1620) - sqrt(1620)) - sqrt(1620)) + -6*sqrt(1620))**2 + 2).\nAnswer: -4320*sqrt(5) + 243108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -818, -817, -816, -815, -814?\n\"Answer: g - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556 + 572. Suppose -14034 = -x*v + 10*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178420*g = 178352*g - 2652 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(-15 + 26 - 26)*((-1 + 3 + 0)*(-2*w**2 + 4 - 4) + 2*w**2 + 2*w**2 - 2*w**2 - 2*w**2 + 0 + 0) in the form l*w**2 + f + k*w and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9557629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from pzpppppppppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 5, -55, -46 in decreasing order.\nAnswer: 5, 4, -13, -46, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669650723 to the nearest integer?\nAnswer: 25878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**24*t)\/t)\/(t*t\/(t\/(t\/(t\/t**32)))*t) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -214020 (base 5) to base 9\nAnswer: -11115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*w + 4*v, -5*w + 8*v - 4*v + 89 = 0. What is the greatest common divisor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from qfuhwfq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - -1*sqrt(110)*2) + sqrt(110) + -1*sqrt(110)*2)\/(-3*(3*sqrt(360) + sqrt(360))))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -4400.\nAnswer: 39\/4400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1577386769 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25533)\/12717 - 7) + (24 - 15). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120)\/sqrt(4))\/(sqrt(42)\/(sqrt(14)\/sqrt(2))) + -4*(sqrt(320) + (sqrt(320) - (4 + sqrt(320) - sqrt(320))*-4)**2).\nAnswer: -1059*sqrt(5) - 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -375912 divided by 3?\nAnswer: -125304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2002668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t - 1. Let f = -12 + 11. Give y(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2678*t**3 - 3*t**2 - 2748. Let y(p) = 5358*p**3 + 7*p**2 + 5497. Let j(r) = 7*b(r) + 3*y(r). Find the first derivative of j(k) wrt k.\nAnswer: -8016*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let x be -20 + 1 + 4 + -5. Let w be x\/6 - (-1 + -2). Put -3\/4, v, w in decreasing order.\nAnswer: v, w, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5350472, -5350468, -5350464?\n\"Answer: 4*i - 5350476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 3, 11, -0.69, -1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*a = -6975 + 8983 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55*(-7)\/840)\/(990\/(-900))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u**2 - 11 - 1\/90*u**6 - 1\/2*u**4 - 43\/3*u**3 - 2\/15*u**5 + 0*u. Let w(b) be the third derivative of k(b). Factor w(y).\nAnswer: -4*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -83*z + 562. Calculate the remainder when 4859 is divided by k(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261321 by 26.\nAnswer: -261321\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -109*i**2\/2 - 91. Let c(n) = -n. Calculate c(y(k)).\nAnswer: 109*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2397, 2400, 2413, 2442, 2493?\n\"Answer: o**3 - o**2 - o + 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 46*c**3 - 242*c**2 + 11*c - 22. Let n(s) = -16*s**3 + 81*s**2 - 4*s + 8. Give 4*g(t) + 11*n(t).\nAnswer: 8*t**3 - 77*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.372396 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccggqcgqcqgcgcggcgg. What is prob of picking 2 c and 1 q?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dfe - -b?\nAnswer: -df3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.034605 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380173 is divided by 336920.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.4509001217 take away 0.23?\nAnswer: 97.2209001217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/13 (b) -0.3 (c) 2\/9 (d) -2 (e) 4 (f) -0.0022\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2772766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-2)\/16). Solve 0*u + 12 = 4*u + n*x, 9 = 3*u - 4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1049, -10, 6, 2, 4 in ascending order.\nAnswer: -1049, -10, -4, -3, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**6\/15 - m**2 - 3*m - 3. Let l(s) be the first derivative of p(s). Differentiate l(t) wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(125) + 1))**2*3.\nAnswer: 480*sqrt(5) + 6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -16*s + 21*s - 5680, s - 1136 = -2*c. Is s a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6104 and 6.\nAnswer: 18312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8783 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0*o**3 + 8*o**3)*(-3 - 1 + 0) + (-2*o + 0 + 0)*(2*o - o**2 + 0*o + 0*o**2).\nAnswer: -22*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 8 = -26. Suppose 14*r + u = 15*r. What is p in -p - 17*p**3 + 49*p - 5*p**r - 24*p**2 - 3*p**4 + p**3 = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 242 + 265*f - 518*f - 31*f**3 + 2 + 254*f as c + q*f**3 + u*f**2 + z*f and give c.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 2, m: 8}. Give prob of sequence hhnn.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.15 (b) -3 (c) -2 (d) 2\/55 (e) 4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94218, 188476, 282784, 377142?\nAnswer: 471550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*r - 29, -6*r = -3*r - 4*n - 13. What is the first derivative of -5 - r + 8 + 3*p - p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, r: 1, y: 2, n: 2, z: 1}. What is prob of sequence dz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-11))\/((56\/(-44))\/(-7))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i. Let s be h(2). Suppose -3*r + r = -s. Suppose 6*f = r*f - 66. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1200002 (base 3) to base 13\nAnswer: -728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*q = q + 20, 0 = 4*g + q - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1124 - 664002?\nAnswer: -665126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 29*x**3 + x**2 - x. Let q be -2 + 2 - (-2 - -1). Let r be z(q). Suppose -75 + r = -5*o - 4*f, f = -4*o + 28. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 17. Let y be f(13). Let m be (10*(-1 + 2))\/2. Solve -4*x**y + 3*x**2 - 2*x + 2*x**m + x**2 + 0*x**2 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/78 + -6 - -5. Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/(n**(-1\/4)\/n)*(n*n\/(n\/(n*n*n*n*n\/(n\/n**(-1\/3))*n))*n*n)**19)\/((n**(-4\/5)\/n)\/n**6)**(-1\/31) assuming n is positive.\nAnswer: n**(3550081\/24180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5414*z + 2833 wrt z.\nAnswer: -5414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 58 (b) -0.017 (c) 2 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1453, 17096, 59549, 142216, 278501, 481808, 765541?\n\"Answer: 2234*p**3 + p**2 + 2*p - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - -119. Let b be ((-210)\/t)\/((1 + 1)\/8). What is the hundreds digit of (-3)\/(((-45)\/(-501))\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -683.6.\nAnswer: -4785.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -27*a + 124. Suppose -b + 8 = -a. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2420*u - 2502*u - 3280 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-648)\/(-3) - (-2 + -2). What is the highest common divisor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 15*c**2 + 14*c + 3. Let t be p(14). Find the second derivative of 0*s**4 + 4*s**4 + t*s**4 + 9*s wrt s.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t. Let z(r) = -2*r**2 + 8. Let u(j) = -j**2 + 3. Let n(m) = -8*u(m) + 3*z(m). Give d(n(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15228 divided by 324\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 38, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*w + 245, g - 5*w + 56 = -3. Let z = 194 + g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18801 - 18797. Suppose 0 = -5*l - d - 29, 4*l - 4*d = -0*l - 4. Sort i, l, 1.\nAnswer: l, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177029333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*j - 15 + 36, j = 3*m + 16. Let z be 975\/(-1001) + 6\/6. Is j <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14003915?\nAnswer: 5, 2800783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326 + 323 - 3*h + 1552.\nAnswer: -3*h + 2201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/85 and -31\/70?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4720597?\nAnswer: 7, 674371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 2. Let u = g + 7.8. Let f = 8.8 - u. What is the smallest value in 1\/8, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*n + 2*n + 2*d, 2*d - 14 = -n. Let i(m) = 11*m**2 + 7 + 13*m**2 - 27*m**2 + 5*m + 8*m**2. Let u(c) = c**2 + c + 1. Determine n*u(x) - i(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/4 in 90, 2\/21, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110000000000 + 11010100001?\nAnswer: -111010101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*z + 93 + 68 - 102 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/10 - m**4\/3 - 5*m**3\/6 + 3*m**2 - 48*m. Let u(r) = 2*r**3 + 3*r**2 + 4*r - 5. Determine 3*g(b) + 4*u(b).\nAnswer: 2*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3759426052.\nAnswer: 2, 939856513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(1 + 2*(sqrt(700) - 2*(sqrt(700) + 1) - sqrt(700) - -1*(sqrt(700) + -1 + sqrt(700)))))**2.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 220399\nAnswer: 11\/220399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 163377 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-12)*(-267)\/20 and (-850)\/(-24)*2\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 1854*w**4 + 4*w**2 + 672*w wrt w?\nAnswer: 60*w**2 - 44496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -65*b + 150. Let z be o(15). Let l = z - -827. Put -3, -26, l in increasing order.\nAnswer: -26, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = -231 + 519 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311305 - 201088. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 3. Let v(g) = 6*g**3 - 2*g - 1. Let n be v(-1). Let m be n\/3*3*-1. Give d(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) - sqrt(153)*-1))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 + 21045\/115 - (4\/(-6))\/(1\/15).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 155 = -2*o. What is the common denominator of o and -2\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338780759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759?\nAnswer: 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69, 315, 727, 1311, 2073, 3019, 4155, 5487?\n\"Answer: k**3 + 77*k**2 + 8*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 4}. What is prob of sequence lulu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -1862, -4198, -7478, -11708, -16894, -23042?\nAnswer: -30158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + sqrt(5) + -1 + (sqrt(500) - 1*sqrt(500)) - -5*(sqrt(500) + 1))**2.\nAnswer: 312*sqrt(5) + 13529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 29*j**4\/4 + 284*j**3\/3 + 176. Find the third derivative of o(k) wrt k.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 54443?\nAnswer: -54435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 16\/12)\/((-1)\/(-123))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, y: 5}. What is prob of picking 2 y and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.32 - 27.32. Which is the second smallest value? (a) 21.1 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*c - c = 2, -3*p + 3*c = -24. Suppose -p*s + 4*s = -12. Suppose s = -4*u + 26. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 53. Suppose -5*s + h = -i*h - 15, h = 1. Solve -5*t - s*d + 1 = 0, -4*t + 4*d + 5 = 3*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (2 + (9 - 26 - -20))) + -25\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146471077499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*t + 3914 - 3949, 9*o - 48 = 11*o - 4*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 13*h + 17. Let q(d) = 3*d**2 + d - 4. Let c(j) = -4*j**2 + 4. Let m(o) = -2*c(o) - 3*q(o). Calculate -2*i(k) + 9*m(k).\nAnswer: -k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*u - 2435 - 8964 = -149*u + 3433 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/66)\/(2\/5108). Suppose 225 + 5 = 2*h. Let o = h - b. Calculate the common denominator of 16\/5 and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 967\nAnswer: 26\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8cb (base 14) to base 12.\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 - 1782*g**4 + 397826*g**3 - 392490*g**2 - 792100*g = 0.\nAnswer: -1, 0, 2, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 (base 14) in base 7?\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**20)*c**5)**(1\/2) assuming c is positive.\nAnswer: c**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*j + 171, 144 = -9*l + 11*l - 4*j. What is the second derivative of -92*n**3 - l*n**3 - 2*n + 47*n**3 + 3 wrt n?\nAnswer: -642*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560857599*o + 13*o**2 + 560857599*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -1645c1?\nAnswer: 1645c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 314559, 313736, 312363, 310440, 307967?\n\"Answer: -275*l**2 + 2*l + 314832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/(l*(l**(2\/55)\/l)\/l*l)*(l\/(l*l*l**(-24)*l*l))\/l**(-2\/7) assuming l is positive.\nAnswer: l**(11261\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34587684?\nAnswer: 2, 3, 197, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-3)**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 429, -3, 3\/8, -1?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1010 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10*2*-1*138\/(-36).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 2\/11 (c) -1221 (d) -2 (e) 0.4 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -75\/2, 8, -125\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 3:46 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 34*i - 38*i + 620, -5*w - 3*i = -1015. Is 6 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b + 1. Let h(y) = -2*y**2 + y - 2. Let v(l) = -l**2 - 3*l - 4. Let f be v(-3). Let z(c) = f*h(c) - 7*t(c). Calculate z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + sqrt(80)*-1 + sqrt(5) + -6*sqrt(5)*2 + sqrt(5))**2.\nAnswer: -104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1609, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 97462.991 to the nearest 1000.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79269865 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0 + 0)*(-3*z**3 + 9*z**3 - 2*z**3) + 5402*z**4 - 10298*z**4 + 6288*z**4.\nAnswer: 1396*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/11))\/c*((((((c*c**(-3\/7))\/c)\/c)\/c)\/c)\/c)\/c*c)\/(c**(-12)*c\/c**(-1)) assuming c is positive.\nAnswer: c**(492\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1172*c**3 - 3*c**2 + 1155*c**3 - c + 3*c in the form h*c**3 + i + q*c**2 + k*c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194215 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = v - 105 + 4, 5*k - 4*v = 121. Let i(b) = -2*b - 6. Let h be i(-4). Calculate the remainder when 39*h\/(-4)*-2 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610347.\nAnswer: 3, 203449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfjfqqjjjfqqwqbwf. Give prob of sequence fqjj.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4157*b**3*g*p - 11*b**2*g*p + 14*b**2*g + 9*b**2*p wrt b.\nAnswer: -24942*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 34. Let u(c) = 151*c - 896. Let l be u(6). Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204809304*q**4 + 4441*q**2 - 6346.\nAnswer: 4915423296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.074 - -0.103. Let m = -0.02900046 + t. Round m to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 418, -16, 3, 2, 1\/4, 4 in ascending order.\nAnswer: -16, 1\/4, 2, 2.5, 3, 4, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/20 - 9\/(-12). Suppose -403 = n*k - 1723. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 34.\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 3. Let t(l) = l + 1. Let o(k) = 8*t(k) - 3*w(k). Let x = -8 - -4. Let n be o(x). Solve -5*y - 2*g + 4 = 0, -2*y + 4*g = n*y - 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let i be 18 + -21 + 1 + -2 + 23. Suppose -22*y + 17*y = -4*q - 32, 4*y - q - i = 0. Solve 12 = -y*x + 4*h, -h = -2*x - s - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)\/((-24)\/(-8)). Suppose n = l - 8 + 1. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 + 12*m + 38. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:38 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4 + 6354*o - 6355*o - o**2 - 8*o**2. Give g(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 278*b - 115. Let t(j) = 93*j - 38. Let r(u) = 4*h(u) - 11*t(u). What is the first derivative of r(g) wrt g?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6*o - 231. Let a = -31 + o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p**2 + 13 + p**3 + 28*p**2 - 47.\nAnswer: p**3 - 47*p**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-26))\/((-1)\/8). Let u(p) be the third derivative of 1\/30*p**5 - 1\/24*p**v + 1\/40*p**6 + p**2 + 0 + 0*p + 0*p**3. Factor u(m).\nAnswer: m*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-29) + (218701\/(-4553) - (-30)\/10).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-7 - 3 + 7 - 2 + 5 - 5 - 3 - 3 + 3 + (-3 - 2 + 7)*(1 - 2 - 1))*(2*s - 3 + 3)*(-3*s + 6*s + s)*(-2*s**2 + 5*s**2 - s**2).\nAnswer: -384*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.74 to two decimal places.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*3332\/(-3230))\/1?\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvttvvtvvttftvfvvtv. Give prob of sequence tt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -580 - 127. What is the tens digit of v\/(-5) + (-12)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470*o - 491*o + 21783 = -33342. Is 2622 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17910 and 26460.\nAnswer: 5265540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -462, -1243, -2346, -3777, -5542?\nAnswer: -7647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/60 - h**4\/24 + 2*h**3\/3 + h**2. Suppose 10*i + 164 = 134. What is p(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*z**2 - 12004*a*z + 29*a + 30850603*z**2 wrt a.\nAnswer: 2*z**2 - 12004*z + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(40\/22) + 1\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-864) - 3\/24\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 + 3 - 14*m + 4*m - 4*m**2. Suppose -24 = -3*j + 6. What is the remainder when j is divided by n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139?\nAnswer: 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-11))\/((110\/484000*120)\/((-3)\/(-20))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79341 divided by -4.\nAnswer: 79341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002426316 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 34\/9 (b) 4 (c) 55 (d) 0.3 (e) -2 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11574473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 - 1432*l**3 - 1520*l**2 wrt l.\nAnswer: 240*l**3 - 8592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -22, -755 in descending order.\nAnswer: -5, -22, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/2)\/l*l\/(l**1\/l))\/(l*l\/(l\/l**(-1)))**(-1\/17))**(3\/5) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 - -132. What is the smallest common multiple of 2 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-105))\/((-16)\/(-140)*-1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*r - 7*j - 16, -14 = -5*r + 3*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**8\/40320 + q**7\/5040 - q**6\/1440 + q**5\/30 - 2*q**2. Let p(x) be the third derivative of g(x). Factor p(t).\nAnswer: -(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20120100111102 - 11?\nAnswer: 20120100111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516456482?\nAnswer: 2, 349, 739909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634776 is divided by 514?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*f - 241*f + 102*f - 432 + 434.\nAnswer: -361*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -311\/2. Let q = 32 + d. Is 0 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 3. Let l(b) = 2*b - 2. Suppose 717 = 331*g - 92*g. Give g*k(x) + 4*l(x).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = 2*p. Let b = p + 5. Suppose -b*t + 2*y + 158 = -0*t, 306 = 4*t + y. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u + 10349 - 10347 + 46*u.\nAnswer: 117*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 26*r + 24. Let l(b) = -b**3 + 6*b**2 - 5*b - 5. Suppose -13*z = -11*z - 6. Let w be l(z). List the prime factors of f(w).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26*(-2)\/(2\/(-2)). Let p = c - 52. Solve 5*a + p*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5881 = 3*f - 5871, 5*r + f - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10790 = -873*m - 1285*m + 51408 + 108284 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76989\/5 + 15398. What is the nearest to -1\/4 in 8\/31, 3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j**2 + 38*j**2 - 8*j**2. Let s(f) = -f. Let r(g) = g**2 + g. Let h(v) = -2*r(v) + s(v). Determine d(h(q)).\nAnswer: 4*q**4 + 12*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 2*z + 5*z - 58 + 5*z. Let x be j(18). Factor -3*p**4 - 108*p**2 - 12*p**3 + p**4 + x*p**2 + 4*p - 16*p.\nAnswer: -2*p*(p + 1)*(p + 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or 29?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + 0*i)*(-i - 2*i + i)*(12*i - 4*i + 5*i) - i + i**3 + i + (i + 0*i - 3*i)*(i**2 - 2*i**2 + 0*i**2) + 44*i**3 - 113 + 113.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4 + 39508*p**3 - 3*p**2 + 685106 wrt p?\nAnswer: -4*p**3 + 118524*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3*l*v - 24780*d**3*l - 124*d**3*v + 136941*d**2 - 62*l*v wrt l.\nAnswer: -d**3*v - 24780*d**3 - 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3265a + 5?\nAnswer: -32655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*w**3 + 92*w**3 - 50*w**3 + (-3*w**2 + 5*w**2 - 8*w**2)*(-w - w - 3*w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1989562.451 to the nearest 100.\nAnswer: 1989600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 8*t + 7. Let q = 3258 - 23094. What is the remainder when (-4)\/22 - q\/198 is divided by f(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73304 and 81928.\nAnswer: 1392776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -36. Let p be y\/4*(-2 + 2)\/1. Suppose p*l - 5*l = 55000. Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1037 and 2941.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + 13\/21. Let o be (0 - 0) + (-1)\/(-2). What is the nearest to o in -0.2, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045511795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.027 + -389.987. What is x rounded to 0 dps?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/22)\/((57828\/45628)\/79).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 487*o + 3926. Determine f(-170).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2231\/(-679))\/(1\/18). Which is the closest to 0.1? (a) -1\/2 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*y - 5*v - 18, -11060*v - 142 = 4*y - 11037*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 137. Calculate the least common multiple of 72 and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.183902 tonnes in milligrams?\nAnswer: 2183902000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 9016.\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3305, 3275, 3241, 3203, 3161, 3115, 3065?\n\"Answer: -2*t**2 - 24*t + 3331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3\/6 + 87*d**2\/2 - 25*d. What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*x + 2*x - 14, 0 = -5*w - 5*x. Let l(u) = -21249*u**3 - 2*u**2 - u + 2. Let n be l(w). What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*u**5 - 3*u**4 + 7*u**3 - 5257*u?\nAnswer: -460*u**3 - 36*u**2 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-16 - 1) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 44257386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -10. Solve -4*i = -t - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1, -1\/3, 38, -0.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let k(o) be the second derivative of -7*o**6\/180 + 4*o**3\/3 - 10*o. Let f(c) be the second derivative of k(c). Give y(f(n)).\nAnswer: 392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*n - 157, -g - 4 = g. What is the remainder when 341 is divided by n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-176)\/12*(0 - -6). Let v be 207\/11 - 16\/u. Suppose 0 = i - v + 4. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 12 - (-5 - -43)) + -1 + 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/542?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1231?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t - 2*t + (5 - 2 + 0)*(3 + 5 - 5 + (0 - 6 + 4)*(1 + 0 + 0))*(-3*t + 3*t + 2*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(252\/(-9)))\/(2\/112). Let p(f) = -f**2 + 27*f + 24*f - 78*f + l*f + 1. Let y(r) = 3*r**2 + r - 4. Calculate -2*p(s) - y(s).\nAnswer: -s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 409764257 to the power of 1\/2, to the nearest integer?\nAnswer: 20243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-3875.\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Suppose 2*p - 5 = -x. Let y be (p - 3 - 6)\/(-2). Solve 4*f = 3*c - 8, -3*f = -0*f + y*c - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/2 - 27\/(52 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141783, -141706, -141577, -141396?\n\"Answer: 26*q**2 - q - 141808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200066 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -398, -874, -1526, -2354, -3358?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -3*g**4\/4 - 5*g**3 + 3*g**2 - 6*g + 3. Let v(r) = -r**2 - r - 1. Let m(u) = -6*v(u) + z(u). Determine p so that m(p) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((y\/((y**(2\/17)*y)\/y))\/y)\/y))\/(y\/y**(-7\/6)*y) assuming y is positive.\nAnswer: y**(-5\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c + 21 + 63. Let x be c\/(-42) - 6\/(-105). Put -1, x, -0.22 in increasing order.\nAnswer: -1, -0.22, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 5*p + 5. Let u be q(-6). Let n be (2 + u)\/(14\/28). Solve 0 = n*v - 3 - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o = -2515 + 640. Solve 34 = -o*l + 134 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 0) + (3 - 4)\/(-1). Let d(q) = -10*q**3 - 30*q**3 - 5 + 10*q + 39*q**3. Does 14 divide d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208870 divided by 1?\nAnswer: -208870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 640524377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = t. Suppose 0*c - c + 4*a + 47 = 0, 0 = c - a - 38. What is the smallest common multiple of (c - -1)*(-2)\/(-4) and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from byyjbbboonzbnyn.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 256927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3861 or -69.04?\nAnswer: 3861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/7 + 2808*c**3\/7 - 28305*c**2\/7 + 70950*c\/7 = 0. Calculate c.\nAnswer: -946, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 18 - 0. Let c(g) = 21*g**3 + 28*g**2 + 33*g + 20. Let m(v) = 5*v**3 + 7*v**2 + 8*v + 5. Let x(j) = 2*c(j) - 9*m(j). Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/4, -0.2, -87, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370 - 364. What are the prime factors of (42\/l - 12) + 970?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, -24, -1\/5, -0.4 in increasing order.\nAnswer: -24, -3, -0.4, -1\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2 (b) 2\/17 (c) 0.06 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011001101010011010 (base 2) to base 15.\nAnswer: c6752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816665684.\nAnswer: 2, 7, 79, 331, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {j: 1, o: 4, b: 1, i: 2, w: 4, y: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -366?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 19*z**5 + z**3\/6 - z**2\/2 + z. Let g be 2*1 + (-10 - -9). Let h be r(g). What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116172 and 51660?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21120010021 (base 3) in base 4?\nAnswer: -210111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 + 4*q - 4. Let g(w) = w**3. Let n(y) = -b(y) - 2*g(y). What is the units digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-0.4364\nAnswer: -0.34912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151399653 to the nearest integer?\nAnswer: 12304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + (27 - 26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x - 3*x + (-1 - 4 + 6)*(2*x + 0*x + 0*x) + 3*x + 0*x - 2*x - 587*x + 294*x + 295*x + 38)*(-1 + 5 - 2).\nAnswer: 12*x + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1035\/81 + -10 - 4\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:02 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.85 from -6806.6706.\nAnswer: -6804.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 0)*(4 - v**5 - 4)*(0 + 0 + 1).\nAnswer: -7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 70 = -64. Let b = -42 - x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Suppose 8*y + 25 = 3*y, -3*l - 2*y + 92 = 0. Let f = -27 + l. Let p be 1*f\/((-21)\/(-9)). Determine k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1392112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 - (-4 + 3 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 + (-630182)\/19670 - -19 and 7\/1124.\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(((-2)\/(-20))\/((-10)\/(-20))). Let f = -81 + c. What is the least common multiple of f and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*c + 1245*c - 88*c**2.\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + v)*(-4 + 1 + 5) - v - 2*v + 2*v - 5*v - v + 5*v + (3 - 1 - 1)*(-v - 3*v + 3*v) + 14 + 45*v - 14.\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 8464.\nAnswer: 67712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1436 + -0.364. Round m to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108882 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 2 + 2*g - 5 + g. Suppose 2*q - 2*v + 6*v - 20 = 0, 16 = 2*q + 2*v. List the prime factors of t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 7113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -442a (base 15) to base 16\nAnswer: -3868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7759253339889.5 and -4.\nAnswer: 7759253339885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 less than 10.623?\nAnswer: 191.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(104)*-1*-5 + sqrt(104))*1)\/(-4*(sqrt(64) + sqrt(64)*1 + sqrt(64))\/sqrt(8)).\nAnswer: -4 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (sqrt(19) + sqrt(475) + 2 - sqrt(171)\/(sqrt(9) + (sqrt(324) - sqrt(9))))*3 + -5 + 1)**2.\nAnswer: -245*sqrt(19) + 23471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015499 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -65.76. Let d = -1.24 - z. Let x = -45\/2 - -22. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.489 * -0.09\nAnswer: 0.04401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -0*h. List the prime factors of (h\/(-9))\/(6\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35*d**4 - 94*d**3 + 84*d**2 - 29*d + 4. Let a(y) = -35*y**4 + 94*y**3 - 83*y**2 + 28*y - 4. Let k(v) = 3*a(v) + 4*w(v). Suppose k(t) = 0. What is t?\nAnswer: 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 3*m = 165. Suppose -2*n + h = -7250, -7*n + m*h - 14480 = -11*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 4, -2, -10, -20?\n\"Answer: -d**2 - d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 22248?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:43 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 1209139 = 6889099. Suppose -4*s + 0*s + f = -4*d, -4*s + d = -145655. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 980*u - 2633?\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1373.5 + -1373. Which is the nearest to -1? (a) 4 (b) -2 (c) 1.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1996?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, m: 4}. Give prob of sequence mzz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -6956447.3337279\nAnswer: -6956447.2337279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*z - 173 + 37 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + 12*f - 15. Let v be s(3). Let m(d) = -6*d + 16. Let g be m(v). What is the nearest to 0.1 in -3, g, -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2 + 10. Solve 6*z - j*z = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + 43468\/38 - (-1738)\/16511 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98065263?\nAnswer: 3, 877, 37273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/19, 4, -3\/214, -2, 2\/17 in decreasing order.\nAnswer: 5, 4, 2\/17, -3\/214, -3\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcrqcnrrqqovor. What is prob of sequence nq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 7, -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1004759837*c**3 - 543596735*c**2.\nAnswer: 6028559022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306640 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1252 - -1256. Suppose 2*k - k = -5. Which is the fourth smallest value? (a) k (b) 0.5 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23654508 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: In base 10, what is -5 - 48160715?\nAnswer: -48160720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 20*c - 13*c. Let i = -13 + c. Sort -4, i, 2, -20 in decreasing order.\nAnswer: 2, i, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*z = -0*w, 3*z + 15 = 2*w. Let n(g) = -w - g**2 - g**2 + 12*g**3 + 4*g - g**2. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*a**2 - 5311 + 5311 - 3*a**3 in the form k*a + x + c*a**2 + d*a**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/8868721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23936500 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:51 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 39, 115, 263, 507, 871?\n\"Answer: 4*s**3 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56580.69426 + 0.86.\nAnswer: -56579.83426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -474 - -485. Suppose -10*p + l*p - 192 = 0. Does 48 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120112 + 2?\nAnswer: -120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 37. Let z(n) = 401*n - 828. Let a(g) = 5*b(g) - z(g). Find the first derivative of a(q) wrt q.\nAnswer: -391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.039739571 to 3 dps.\nAnswer: -17.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -356 + y + 356. Suppose 19*g + 7*g - 52 = 0. Let d(n) = -8 + 5 + 5*n + g. Calculate k(d(u)).\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -268046*i + 4824819. Calculate n(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774244 is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/1*2 + 50.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21692*y**6 + 103*y**2 - 3*y - 8.\nAnswer: -2603040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q + 4 = 0. Is 14 a factor of 41 + 15 + (-8)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 6, 2\/7, -2.731, 1\/2?\nAnswer: -2.731","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 30. Suppose c = 0, 0*h + c = i*h. Solve h = 2*z - 3 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**4 - 98*l**3 + 3*l**2 - l + 101*l**3 + 2 + 8*l**4 to i*l + s*l**4 + c*l**2 + b*l**3 + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65434\/19 less than or equal to 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*16.817.\nAnswer: 2.01804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.625302 and -39.\nAnswer: -24.386778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oocccoooco. What is prob of picking 4 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*z + 31 = 0, w - z + 2*z - 7 = 0. Suppose -42 = w*f - 216. Suppose 3*r + 2*c - f = -32, -3*c = 5*r - 90. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 660 = h. What is the common denominator of 25\/4 and 4\/(-20) + 117\/h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 15*w - 1. Let z(f) = f**2 + 9*f - 1. Let g(y) = 2*h(y) - 3*z(y). Let p(j) = -2*j**2. Give g(p(c)).\nAnswer: -4*c**4 - 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 o, and 1 n when four letters picked without replacement from cuoonxuccncxc.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19747 and 651?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Do 0.6 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/4 - (-1 + -28) is divided by 8 + 0\/2*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 235, 483, 819, 1237?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275 - 149. Suppose w - 2*w + 3*s = -42, 0 = -3*w - 3*s + o. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 3976?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -783\/4 + 197. What is the closest to -0.1 in -1\/4, -1, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a - 2. Let k be n(-5). Let f = k - 6. Let w = -27 + f. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 4*g. Let r(w) = w + 9. Calculate the lowest common multiple of r(-5) and 1\/((-1)\/g)*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/11)*i*i*i*i))**(4\/21)\/(i**4*i**(-2\/9)*i))**(-21) assuming i is positive.\nAnswer: i**(3695\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19045 + 50?\nAnswer: -18995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-94)\/8. Let w be (-2)\/(112\/(-36) - -3). What is the greatest common divisor of w and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*m - m + 41, 0 = 2*u + 5*m - 33. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192.7 - 258.7. Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 125128*r - 1 - 45*r**3 - 125125*r + 250255*r as p*r**2 + z*r**3 + i + g*r and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1381748880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-10)*(1 - -1). Suppose y - 3*f = 8, -2*y + 21 - 6 = -j*f. Suppose 0*u + 185 = y*u. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 9. Put a, -2, -1, 3 in decreasing order.\nAnswer: 3, -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Suppose 2*q + 32 = 10. Let t = -6 - q. Put c, -5, t in decreasing order.\nAnswer: t, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 2. Let y be l(4). Suppose 5*m - p = y, p - 6*p = -20. Suppose m*w + 7 = 3*w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 19, -2, -43, -110, -209?\n\"Answer: -j**3 - j**2 + 3*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1239, -2481, -3725, -4971?\n\"Answer: -n**2 - 1239*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.76 + 0.96. Let i = -79 + 54. Let p = i - g. Which is the third smallest value? (a) p (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3462444 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7258 (base 14) to base 13.\nAnswer: -8c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/(((-17)\/(-119))\/((-8)\/28))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.134 years to centuries.\nAnswer: 4.02134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 - p**2 + p**2)*(5 - 3 + 0) - 8 + 6 + 12*p**5 + 4.\nAnswer: 8*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + n**2)*((1 + 2 - 2)*(4*n + 0*n - 3*n) + 3*n + n - 3*n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 18.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1179560 by 1179560.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (1 - -24) + -5. Suppose 10*y = v + 39. Solve -4 = -y*t + 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*-1*3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 divided by 19338?\nAnswer: 607\/19338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135236863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211255.\nAnswer: 5, 11, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*m - 28 - 3 = 837*m + 5*o, 5*m - 980 = 198*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let s = b - -21. Calculate the greatest common divisor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9501749 + w + w + 9506894.\nAnswer: 2*w + 5145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*t + 63, -15*n - 55 = -20*n - 5*t for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101, 91, 95, 119, 169, 251?\n\"Answer: f**3 + f**2 - 20*f + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6) + (-50)\/84. Let j = 8 - 8.3. What is the nearest to 0 in t, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(10\/(-245) - 0). Let k = s + 94. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519222817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245 (base 11) to base 12.\nAnswer: -b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*i + 4*i + 4*l, 2*i + l - 13 = 0. Solve -2*f - i + 10 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 306 = -5*u. Let f = u + 230. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62175 - 37906. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -4, -0.4, -0.06, 0.1, -0.34?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k*k\/k**(-8))\/(k**(-8)\/k**1))**20 assuming k is positive.\nAnswer: k**350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 6*w + w)*(104*w**3 - 13*w**3 - 42*w**3) to t*w**4 + k*w**2 + x + l*w**3 + s*w and give t.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 33, 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j)*(-2*j**4 - j**4 + 4*j**4) - 5*j**5 - 5*j**5 + 5*j**5 + (-2*j**2 + 5*j**2 - 4*j**2)*(0*j**3 + 3*j**3 - 6*j**3).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27801694 + -27801694.63000014. Let y = 0.63 + u. Round y to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-11\/6)\/d)\/(d*d*d*d*d*d**(-2\/117)))**(-8\/5))**(-14) assuming d is positive.\nAnswer: d**(-102424\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 16, -4*t - 2*s + 39060 = -58108. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*3*(-1 + sqrt(98) + sqrt(98) + 3) + -4)*4.\nAnswer: -2016*sqrt(2) - 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = 0, -2*c - 10*u = -5*u - 3232. What is the remainder when c is divided by 540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o**3 + 123*o**2 - 25*o + 19. Calculate i(12).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(10) - (sqrt(1210) + 5*sqrt(1210))))\/((sqrt(110) + -5*(sqrt(110) - sqrt(110)*-3) + sqrt(110) + sqrt(110))\/sqrt(11)).\nAnswer: sqrt(5)\/1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 38 = 3*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-92))\/(-4)*23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d. Let x(v) = 2*v - 102. Give r(x(l)).\nAnswer: 16*l - 816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 7*p. Let k be j(7). Solve k*r = -5*d - 4*r + 25, -2*r + 14 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11621 is divided by 726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a. Let t(p) be the second derivative of p**3\/3 - 7*p. Calculate j(t(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let r = 16 - 21. What is the tens digit of b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/542 and 53\/42.\nAnswer: 11382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -743779 - -743846. Let l(p) = -74*p - 1. Calculate the remainder when l(-3) is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let h be 3\/3 + (-3 - -15). Let r = 17 - h. Sort -4, a, r in descending order.\nAnswer: r, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 4.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 5*y**8\/336 - y**6\/8 - y**5\/6 - 33*y**2 - 129*y. Let o(p) be the first derivative of z(p). Factor o(t).\nAnswer: 5*t**2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o - 4*o)*(53 - 101 - 6 + (4 + 1 - 4)*(-3 + 4 - 3)) to the form c + z*o and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 8, w: 5, p: 1}. Give prob of sequence zz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 - -5) + -14 - (9 - 0)) + -17?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2166673*d**3 - 2*d**2 - 3*d - 11481098.\nAnswer: 6500019*d**2 - 4*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 + 543. Calculate the remainder when 178 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269561?\nAnswer: 269561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/495 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - 1d1a?\nAnswer: -1ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*b - 45*b + 134*b - 48*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 10 + 16 + 44)*(-159*g - 80*g + 100*g).\nAnswer: -417*g**2 - 6950*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-3 + sqrt(209)\/(sqrt(33)\/sqrt(3)).\nAnswer: -35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1946 - 7?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2477663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39\/20 + 27\/10. Suppose -6*o + o = 2*h + 17, -18 = 5*o + 3*h. Let p = o - -5. Sort p, 5, w.\nAnswer: w, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/(k*k*k**(1\/6)\/k*k)*(k**(-1))**(-1\/6) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -2*t**7\/21 - 68*t**6\/15 - 124*t**5\/5 - 40*t**4 + 55*t - 15. Factor j(b).\nAnswer: -4*b**2*(b + 2)**2*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -0.1. Let m be (-10 + 4)*(-4)\/12. Suppose 5*z = 4*p + 13, m*p = 8 - 12. Which is the closest to z? (a) r (b) -1\/2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/43 (b) 7\/5 (c) 2 (d) -3 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/360 + d**4\/72 + d**3\/36 + 6*d**2. Factor f(p).\nAnswer: (p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 5)*(5*q - 5*q - 4*q)*(2*q + 11*q**2 - 2*q) as s + p*q + i*q**3 + b*q**2 and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus -0.0127233?\nAnswer: -20.0127233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:38 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48598\/5 + -9719. Let n*g**2 - 114\/5*g + 1083\/5 = 0. Calculate g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*g**4 + g**3 - 23*g**2 + 13521*g wrt g?\nAnswer: 1392*g**2 + 6*g - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -7, 4, 25, 56?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (sqrt(68) - (-2 + sqrt(68))) - (-1*sqrt(68)*-2 + sqrt(68)))**2 + 4) + -5.\nAnswer: -2473 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2399635725.0001558 + -2399634669. Let f = w - 1056. Round f to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*j**3 - 1134*j**2 + 6561*j.\nAnswer: j*(7*j - 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68035 by -5.\nAnswer: 13607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = -13. Calculate the remainder when 27 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140093 divided by 4\nAnswer: -140093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2*(14\/4 - 5). Let b(q) = 0 - 3*q**2 - 3 + 4*q**2 - 2*q**2 + 11*q. Let m be b(11). Sort z, 0, m in descending order.\nAnswer: z, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -1, -0.1, -11 in decreasing order.\nAnswer: -0.03, -0.1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -372*o**2 - 15623*o + 41. Calculate x(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29618893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9446, 18892, 28338?\nAnswer: 37784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 40*a - 124. Let m be b(15). Put -2, m, -5 in descending order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 18. Let b be p*(110\/(-6))\/(-5). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 36 = -27*p - g, 29*g = -3*p + 879 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 6*x - 5*x)*(0*x**3 - 5*x**3 - 10*x**3).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5\/16 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -216 (c) -3 (d) 1 (e) -12229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 6*f - 2. Let s be z(-4). Suppose -4*g - 2 = -s*g. Let u be (7 - 8) + g + -2. Which is the second smallest value? (a) 4 (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8\/11)*y)\/(y*y*y\/(y**(3\/5)*y*y)*y*y*y)*y**(-12)*y*y\/(y\/y**20) assuming y is positive.\nAnswer: y**(378\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 - 62 + 98*o + 15 wrt o?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7615 less than 4.3?\nAnswer: -6.4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**3 - 51*d**3 + 25*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/1129 or 0?\nAnswer: 15\/1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -1283, -4751, -11489, -22583?\n\"Answer: -181*m**3 - 6*m**2 + m + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -40, -89, -176, -313, -512, -785?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 3*s)*(155933*s + 4723*s**2 - 155933*s) + 4*s**3 - 3*s**3 - 3*s**3.\nAnswer: -4725*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/168 and 79\/10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -563.8923 - -576.779142. Let u = -13.1169 + k. Let m = u + 0.23. What is m rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(-22)) + (-7014)\/(-630).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -10100101000100011?\nAnswer: -10100101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123\/20 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2685534.815869 and 1.\nAnswer: 2685535.815869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-6)\/315)\/((4\/(-112))\/((-10)\/(-40)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*b = -5, -3*v + 4*b = 1440 - 2878 + 1453 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 21. Let d(j) = j**2 + 3*j - 2. Let u be d(c). Does 6 divide (u\/6)\/(2\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s + 3. Let m be p(3). Let g = m + 20. Does 14 divide 14 - (-2 - (g - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -83.4?\nAnswer: 333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + x - 11 - 46, g - 11 = -3*x. Suppose 0 = 13*o - 21*o + 544. Suppose 0 = -6*l - o + 272. Calculate the remainder when l is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 < 13401\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 6) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:21 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 114?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - 2 - 1\/(-1)*356. What is the highest common factor of w and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -688803 and 14.431.\nAnswer: -688788.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573254345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1197, -1, 3, 608?\nAnswer: -1197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13056, 52959, 119708, 213309, 333768, 481091?\n\"Answer: l**3 + 13417*l**2 - 355*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 504*j**2 - 1. Let f(z) = -1371788 + 1371788 + 0*z**2 - 2*z**2. Give f(q(p)).\nAnswer: -508032*p**4 + 2016*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6891 - 1081.\nAnswer: -1082.6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 9*b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 2*u - 1. Suppose -3*i + 4*x = 26, 4*x - 18 = 2. Let j be w(i). Put j, -5, 14 in descending order.\nAnswer: 14, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3412 + 3412. Solve p = 8*a + 271 - 271 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 7*u**4\/24 + u**3\/6 - 146*u**2 + 1. Let f(v) = v**2. Let x(k) = -6*k**2. Let c(q) = 39*f(q) + 6*x(q). What is c(w(z))?\nAnswer: 147*z**2 + 42*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*363.\nAnswer: -181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544736850 and 435789480?\nAnswer: 2178947400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 4930, 1\/2, -3 in increasing order.\nAnswer: -3, 1\/6, 1\/2, 4930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 1696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-1*6)**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 3*w**3 - w**3 + (-2*w**3 - 2*w**2 + 2*w**2)*(0 + 1 - 3) + 3*w + 13*w - 17*w**2 - w**3 + 19*w**2.\nAnswer: 5*w**3 + 2*w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*l**3 + 1386*l**2 - 65015*l - 1.\nAnswer: 198*l + 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 2104287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11 - 16 = 0. Suppose -11*l = -d*l - 18. Calculate the highest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3467068 (b) 5\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 0.1, 1.2, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 921\/5602 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23972909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-12))\/((-9)\/10)*36. Let j = z - 52. Which is greater: 15\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j**3 - j + 2*j**2 - 2*j - j**4 as n*j**4 + a*j**3 + t + r*j + o*j**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let r(y) = -2*y. Suppose 29*t = 8 - 61 - 5. Suppose -3*b - 12 = -3*u, -u + 5*b = u - 5. Calculate t*r(d) + u*w(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-88))\/(32\/(-256))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:38 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 8:59 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -127194.74*-1\nAnswer: 127194.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46 (b) -2\/11 (c) -251 (d) -15 (e) 2 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36897789?\nAnswer: 3, 12299263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*y**2 + 375 - 831 + 3*y**2 + 506)*(3*y**2 + 0*y**2 - 2*y**2).\nAnswer: -24*y**4 + 50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b)**(-31) assuming b is positive.\nAnswer: b**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 + 202.9. Let r be ((-1)\/(-3))\/(2\/(-10)*-5). Is m >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1343?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let v be 3\/(-2)*(-8)\/42. Let t = -235\/4 - -59. Which is the smallest value? (a) v (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10303*y - 16351*y - 60480 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + -11.85. Let b = l + 6. Let j = 10 + b. What is the smallest value in 1\/3, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10259, -10078, -9883, -9668, -9427, -9154, -8843, -8488?\n\"Answer: f**3 + f**2 + 171*f - 10432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32427359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9)*(-3)\/2 + 0. Let z be 378\/135 - (w\/5)\/2. Solve -z*o = 7 + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-1) - (-31)\/((-837)\/(-189)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20229*y**2 - 190*y - 85.\nAnswer: -40458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 118 - 58 = -7*j + 3*j, 4*q - 3*q = 2*q - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12958, -12975, -12992?\nAnswer: -13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127893 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -555*h - 8326. Let m be k(-15). Put m, -145, -2, -4 in ascending order.\nAnswer: -145, -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 8 + -47 + 5 + -7 + 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 410988118.\nAnswer: 2054940590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22987295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + s - 6 = -s, v + s = 0. Let b be 1 - (-13 + 4) - v. Is 2*(2 - (-292)\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36322886)\/5377932 - 1) + (-87)\/(-609). Let b = o + 2\/21341. Let l = 1059\/8 - 139. Calculate the common denominator of b and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(11)) + sqrt(176)*2 + 5*(1 + sqrt(11) + -2) + -3 + 4)**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:25 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.93 and 0.4.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 2*z + 3*z. Suppose -9 + 0 = 3*f, 4*f = -5*w + 128. Calculate the highest common divisor of w and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 345917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + x + 1. Let s be w(-5). Suppose -7*h - s = -3*h. Let q = 48 + h. Solve q = 4*z + 5*m, 2*z - 4*z - 2*m = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 39, -1, 0.\nAnswer: -12, -1, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = -27 + 4 - 110 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -63*k**4\/2 - 37383*k**3\/2 + 68112*k**2 + 32214*k - 14328 = 0.\nAnswer: -597, -2\/3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3605.505 meters in millimeters?\nAnswer: 3605505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Let h = -4 + z. Suppose -3*i = -1 - 8. Solve 0*f + 6 = h*f, 0 = i*n - f + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:39 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 8*s + 6. Let j be m(-3). Solve -h - 4*h - 5 = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/35 + 13\/140. Let m(q) be the second derivative of 0*q**3 + 0 + 1\/2*q**2 - 5*q - v*q**5 + 0*q**4. Differentiate m(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1572, -3234, -4896?\nAnswer: -6558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26579666 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3 - 5*p**2 - 5*p + 12. Let u(d) = -15*d**3 + 8*d**2 + 8*d - 18. Let m(a) = 8*i(a) + 5*u(a). What is the first derivative of m(g) wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**20)**(-46)*y\/y**(-22)*y\/(y**(-9)*y) assuming y is positive.\nAnswer: y**(-934)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6352347 to 2 dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12581 is divided by 842?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16450 * 0.1\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148362? (a) -2\/11 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + (sqrt(133)\/sqrt(7))**2 + sqrt(19) + 5).\nAnswer: 2*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 5*k + 4*k)*(5*k - 3*k - k)*(4 - 7*k**2 - 161*k + 161*k).\nAnswer: 21*k**4 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - g**2 + 2*g - 2*g**2 + 4*g**2 + 0*g**2 - 5*g**2 + (-824*g**2 + 8*g - g + 826*g**2)*(1 - 2 - 3) as d + n*g + r*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 2. Let b(q) = 2120*q**2 + 25*q. Give b(p(y)).\nAnswer: 33920*y**4 + 34020*y**2 + 8530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 5:40 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 23, -1, -77, -229, -481, -857, -1381?\n\"Answer: -4*v**3 + 10*v**2 + 2*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/12 - h**2. Let k(i) be the second derivative of -1\/6*i**3 - 2*i + 0 + 0*i**2. Give n(k(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*o**3 + 2 + 5.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + 2 + 5 + -1 + 1))**2*2.\nAnswer: 700*sqrt(11) + 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvkfkvfdvddvdddvdd. What is prob of picking 1 f and 2 d?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l + 3. Let t be j(2). Suppose -10 = t*d, -x + 2*x + 3*d - 59 = 0. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*n + 67*n + f, 11*n + 5*f = 10*n + 274 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2. Let l be q(-5). Let d be -1 - -1 - (-5 + l). Suppose 0*r = -d*r - 20. Which is the third smallest value? (a) -2\/15 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63686443.001145 - -63686625. Let v = -182 + n. Round v to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3306*d**3 - 801 wrt d?\nAnswer: -9918*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2*f**4 + 4*f**4 - 4*f**4) + (-1389*f**2 - 57*f**3 + 696*f**2 + 695*f**2 - 5*f)*(0*f + 11*f - f).\nAnswer: -574*f**4 + 20*f**3 - 50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:31 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbkbbbbbbpbb. What is prob of sequence pk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -y - 24, 5*f = y + 3*y + 138. Let h = -18 - y. Calculate the lowest common multiple of h and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/60 - 7*v**4\/12 + 17*v**3\/6 - 3*v**2. Let k be b(-15). Suppose 4*f = k*f + 104. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l + 54. What is the remainder when (21285\/(-27))\/(-11) - (-2)\/(-3) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-38))\/((-2)\/8)*63\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 793, -3, 3, 2, 0, 1 in decreasing order.\nAnswer: 793, 3, 2, 1, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2)\/((-80)\/(-240)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124713 is divided by 2396?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23455 - h**2 + 23455.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2847 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*c**2 + 43*c**2 + c**2.\nAnswer: 755*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 654*y. Let h(f) = -14*f. Give d(h(v)).\nAnswer: -196*v**2 + 9156*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 439 (c) 240\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-2) + 5 - 10\/(-4). Suppose -2*y + 2 = -n*r + 7*r, -3*r - 16 = 5*y. Let s be -3 - -6*y\/(-10). Solve 5*h - 9 = -4*k - 3, s = 4*k + h + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + d - 3*d)*(2*d + d - 4*d)*(0*d - 4*d + 3*d)*(1 - 1 - 2*d).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.694629 - -0.07\nAnswer: 0.764629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1228498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007800783 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.174 + -3.174. Which is the fourth biggest value? (a) 179 (b) -0.5 (c) p (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-3)\/(-6)*-4). Let g be (1 - -2)\/(w - -2). Suppose -g*y = -n - 56 - 52, -4*y = -4*n - 144. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 1. Let a be 6\/(-12) - 6\/4. Give x(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1638*d**4 - 136?\nAnswer: -6552*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**4 + 29*g**3 + 6*g**2 - 26*g + 4. Let w(x) = -3*x**4 + 88*x**3 + 21*x**2 - 91*x + 14. Let s(j) = -7*u(j) + 2*w(j). Let s(l) = 0. What is l?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:29 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f. Let o(s) = -3*s. Let w(u) = -6*o(u) - 4*v(u). Let c(p) = 11*p**2. What is w(c(j))?\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + 10*d - 7. Let a be c(6). Let m be 3 - (-3 - -1) - 2. Solve -m*u = 4*r - 16, -r - a = -3*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 436, -11, 5 in increasing order.\nAnswer: -11, 5, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18998249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*w - 144*w + 49*w + 48*w - 79 + (3 + 1 - 6)*(-w - 4 + 4) + w + 0 + 0.\nAnswer: -2*w - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 22*o - 39. Let t be v(2). Let z = 1.1 + -1. Which is the closest to 0.1? (a) 1 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let s(x) = -48*x**3 - x**2 + x + 1. Is s(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:17 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 564, 569, 578, 591?\n\"Answer: 2*j**2 - j + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - 3. Suppose 0 = -4*j + k, -5*k = j - 3*j. Sort -0.08, j, f in ascending order.\nAnswer: -0.08, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4672 and 45552?\nAnswer: 182208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106107155.\nAnswer: 5, 7, 11, 197, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*r - 9, 0 = 4*r + 2*o - 92 + 86. Solve -19*v + 21*v - q = -5, 5*v - 3*q + 13 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*g - 93, -2*g = -4*t + 57 + 15. Let n = t - 31. Let i be (-80)\/n + 4\/14. What is i rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/3 - 6304*i + 29805312 = 0.\nAnswer: 9456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3*t**2 + 26 - 26 + (-24*t - 14 + 14)*(-2*t + 2*t + 2*t).\nAnswer: -45*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 58757933022.2.\nAnswer: 58757933020.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, q: 7}. What is prob of picking 1 v and 1 q?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0582 - 0.5418. What is the fifth biggest value in 0.1, s, 0.9, 0.5, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 0 = -h. Does 10 divide (3\/1)\/(h\/(-77))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330260 divided by -235?\nAnswer: 9916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -101, -99, -97, -95, -93?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.2 + -7. Let a = -12.273 - -18.273. Are a and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 34*p**2 - p - 155. Give n(16).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -5*x**2 - 65. Let g(i) = 160 - 18*i - 160. Give g(d(a)).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -31*z**8\/840 + 103*z**4\/24 - 181*z**3\/6 - 27*z**2 - 3*z. Let n(p) be the first derivative of k(p). Differentiate n(d) wrt d.\nAnswer: -248*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 1 - 1 + (-1 - 2 + 5)*(-703*o + 1916 - 1916).\nAnswer: -1407*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34178*d**3*l + 11*d**2*l**2 + d*l**2 + 16*d*l + 6*d + 2*l**2 - 22 wrt d?\nAnswer: 205068*d*l + 22*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -9.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38828 is divided by 268?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + 2*l**2 - 7*l - 5. Let v be a(7). Let b(o) = -o**2 + 3*o + v*o**3 - 1 - 7 - o. Let s be b(-6). Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4.3. What is the nearest to -0.2 in 0, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g**3 - 105*g**2 + 10*g - 17. Calculate h(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753321031?\nAnswer: 83, 151, 60107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2636772430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(19\/3))**(6\/13) assuming f is positive.\nAnswer: f**(-32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwirrzririrbrir. What is prob of picking 1 r, 1 i, and 1 b?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38908 is divided by 4416.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvvxvvv. What is prob of sequence xvv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*p - 709 + 673, -3*r - 4*p - 53 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, 3*g + 3*y + 180 = 45. Let z be 4\/30 + 186\/(-45). Is 8 a factor of z\/2*g\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 23. Let f = a - -6. Suppose 5*v - 16 = -f*m, 7*m - 4*m = -2*v + 12. Solve v = l + 2*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -7. Let x be (9\/h + 2)\/1. Let i be (-2)\/((-70)\/(-115)) - -1*3. Which is the third biggest value? (a) i (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a + 225 = 225. Sort 1, a, -224 in decreasing order.\nAnswer: 1, a, -224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1739 times 27.0667\nAnswer: -47068.9913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 25*i**3 - 352*i**2 + 16*i + 52. Calculate b(14).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 4*k**2 - 4. Let s be v(-3). Let w = s - -27. Suppose 5 = 5*h - w. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874815684 to the nearest integer?\nAnswer: 29577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -7\/6*m**3 + m - 3*m**2 + 2 + 0*m**4 + 1\/20*m**5. Find s, given that o(s) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-2*-4)**2 - (sqrt(33)\/sqrt(3)*-4 + 1).\nAnswer: 4*sqrt(11) + 85183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-16 + 16 + 0 + -21)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377655?\nAnswer: 3, 5, 17, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 36*r + 394. Let s be a(-25). Solve s*o = 667*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/35)\/(2\/240). Let c = g - 33. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**5 + 6*l**5 - 9*l**5 - 2*l**4 + (-13*l**2 + 13*l**2 - 5*l**3)*(-63*l + 7*l**2 + 63*l).\nAnswer: -32*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, -4, 4.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8 + 1)\/(20\/160). Suppose -4 = -3*i + 2. What is the second derivative of i*q**3 - l*q + 3*q + 4*q**3 wrt q?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)\/sqrt(99) - (sqrt(26) - sqrt(52)\/sqrt(2))*2)*6)\/(((1*sqrt(120) + sqrt(120) - sqrt(120))\/sqrt(10))\/((sqrt(126)\/sqrt(3))\/sqrt(7))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = 0. Suppose b = -h + 2*h - 3. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219424 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1030, 1967, 2904, 3841, 4778?\n\"Answer: 937*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + -4*-2*sqrt(102) + 1*(sqrt(102)*-1 + sqrt(102)))*3)\/(1*sqrt(384)*-1*-5).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 12*p + 29. Let s be r(-9). Sort s, 8, 5 in ascending order.\nAnswer: s, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13 + 14 + 254*r.\nAnswer: 254*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + z - 15. Let p be o(-5). What is the second derivative of 245*c - 2*c**2 - p*c**2 - c**3 - 227*c + c**2 wrt c?\nAnswer: -6*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**2 - 9*h - 21. Let s(i) = -23*i**2 + 19*i + 45. Give -13*r(l) - 6*s(l).\nAnswer: -5*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -61*y**2 + 85*y + 12. What is r(-6)?\nAnswer: -2694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(114)*2)\/sqrt(6) - (sqrt(19) + (sqrt(2299) + -1 + sqrt(2299) - sqrt(19) - sqrt(19))**2))*6.\nAnswer: -45606 + 246*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + s. Suppose 3*w - 5*f - 14 = 0, 74*w - 4*f - 14 = 73*w. Let i(b) = 8 + 2*b - 5*b + b. Let d(z) = w*j(z) - i(z). Factor d(p).\nAnswer: 2*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*y = -148*y - 968. Let o = -166 - y. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.51869 rounded to 2 dps?\nAnswer: -4.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {x: 2, s: 4, q: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2 + 21*z - 11. Let l(g) = -7*g**2 + 11*g - 6. Let o(y) = -6*h(y) + 11*l(y). Let f be o(6). List the prime factors of 3\/(-1) - (-48 - f).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111110001000 (base 2) in base 9?\nAnswer: -67568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a + 1 - 6*a - 2*a**2 + a**2 + 7*a. Let u(p) = 3*p + 3. Let b(m) = -3*s(m) + u(m). Let z(x) = 6*x**2. Determine b(z(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 41*p**2 - 34*p + 1. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 != -5603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1663.757 - -6089.8\nAnswer: 7753.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88305000 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 283. Calculate the greatest common factor of 209 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-360)\/(-32)))\/((-4230)\/(-225))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + s = -27, -3*i - s - 2*s = -9. Solve -v - 11 = -i*k + k, 2*k - 22 = -4*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1334 by 2.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 5*c**2 + 6*c - 6. Let q be g(4). Let b(w) = w**q - 3*w**2 + 5*w**2 - 6 + w**2 + 2*w. Is b(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 85*u - 549. Calculate s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-10)\/555 + 0). What is the common denominator of 5\/(18\/204*4) and (-3 + (-215)\/(-70))*h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/((-2)\/12). Let m be ((-18)\/8)\/(i\/(-168)). Suppose 0 = d - m - 54. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and 1019.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -77, -103, -125, -143, -157?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 1\/8 (b) -0.02 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 4*d**2 - 4*d + 3. Calculate the lowest common multiple of 24 and z(-3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683 + -687.07. Let d = g + 0.07. Let o = 226.2 + -225.9. Which is the nearest to -1? (a) d (b) -9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656677 = -5*h - 4*q, -h + q + 525350 = 3*h. Suppose c + 26663 = -h. Round c to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -752 - -751.97831. Round n to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9*d + 2142. Let y be (7\/(-6)*-4)\/(14\/d). Suppose -y = z - 4*z. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.138, -3, 7 in decreasing order.\nAnswer: 7, -0.138, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 3. Let g(m) = m + 1. Let v(u) = 3*g(u) + j(u). Let d(z) = -z**2 + 2. Let k(f) = -4*f**2 + 7. Let q(c) = -14*d(c) + 4*k(c). What is q(v(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*i**3 + 23*i**2 + 271385 wrt i.\nAnswer: 249*i**2 + 46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - z - 1. Let k(a) = -10*a**3 - 10*a**2 - 4*a - 4. Determine k(r) - 4*o(r).\nAnswer: -10*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4600*f**3 + 9198*f**3 - 4599*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1661459\/57 at least -29147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 511*k - 1220. Calculate q(-258).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243091?\nAnswer: 243091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let i(f) be the first derivative of f**4\/24 - f**2\/2 + 1. Let c(u) be the second derivative of i(u). Give d(c(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540 and 225?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45527 = -4008*s + 15905 + 59374 + 39514 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 10*g**2 + g + 3. Let o be c(-5). Let l be (1132 + o)\/((-8)\/16). Round l to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l - 1903 = 58*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 112, -86, -516, -1256, -2384?\nAnswer: -3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -77365, -20 in ascending order.\nAnswer: -77365, -20, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -56\/5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)*-5 - -1. Let i(k) = -5*k**3 + 5*k + 5. Let q(f) = 11*f**3 - 11*f - 10. Let y(n) = j*q(n) - 9*i(n). What is y(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1488)\/(-3))\/2*(-6)\/(-4). Let r = l - 28. Let y = r - 219. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 62*y - 207. Let a(u) = -32*u + 104. Let b(n) = -5*a(n) - 2*z(n). Find the first derivative of b(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -882\/11 or 88527?\nAnswer: 88527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7288*a - 7275*a = 117. Let f(x) = -x**3 + 9*x**2 + 5*x - 5. What is f(a)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8024 = 4*j + 8036, 0 = 2*j - i + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Suppose -2*f = -0*a - 5*a - 29, 2*a = 4*f - 18. Let r(q) = -q + 25. Calculate f*p(l) - r(l).\nAnswer: -l - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111111000010000100111?\nAnswer: -111111000010000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*u)*(3*u**2 + 0*u**2 + 0*u**2).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 37 + 49 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-2 - (-38)\/4). Let j(p) = -p - 29. Suppose -2*r = 8*o - 5*o + 50, 0 = 3*o + 6. Let k be j(r). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248*p**2*s*v*w - 136*p**2*s - p**2*v*w + p*s*v*w + 2*p*s + p*v - 160*p*w + 39*p wrt p.\nAnswer: -496*s*v*w - 272*s - 2*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3415190.87169 - 3415677.871689982. Let k = p + 487. What is k rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -313. List the prime factors of x\/(-32)*1*14.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 134*w**2 + w + 6. Determine a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -80 times 211832\nAnswer: -16946560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (5 - 0 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 962293.5 kilometers?\nAnswer: 962293500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -2\/3, -0.02, 1\/2, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20118 + 17738. Which is greater: -2377 or z?\nAnswer: -2377","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 658031 + 568*a**2 - 658031 to g + i*a + q*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3)\/(2 - 1). Suppose -14*y + 19*y - 745 = f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3630.2 + -3627.2. What is the closest to 9 in j, -2\/9, -1.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*n - 14 = 10, 5*n + 15 = 0. Let a be (147 - -1)*(0 + 5\/10). Suppose -6*i - g + a = -i, -i - 4*g = -b. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.909397167 to three dps.\nAnswer: -6.909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9938745, 19877495, 29816251, 39755013?\nAnswer: 49693781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3 - 567\/9*70\/490\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138996 and 168102.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-75)\/2)\/(7 - (-27)\/(-4)). Let u = -146 - j. Sort -9, -4, -2, u in descending order.\nAnswer: u, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 12*a + 65 = -u, -103*u = -98*u + 3*a + 317 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 446*n**2 - 16*n - 93. Let b be c(-6). Calculate the greatest common factor of b and 303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164984.\nAnswer: 2, 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-468)\/9 - (2 - 0). Does 16 divide (0 + 1)*2 - v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by -38186.\nAnswer: 730\/19093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 552216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:57 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/5 - (-17)\/85. Solve 14 = -5*k + 3*k - 3*v, p*k - 2*v = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6593334 and 726?\nAnswer: 72526674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20897192, 5, 4 in decreasing order.\nAnswer: 5, 4, -20897192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knimnvj. Give prob of sequence im.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 14. Let n be c(-6). What is the common denominator of 53\/16 and n\/(-60)*(-141)\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 + 18*y\/5.\nAnswer: -3*y*(y - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -954, -1906, -2858?\nAnswer: -3810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*n - 2, -98*n + 94*n + 5 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/6 + 16939*s**2\/3 + 3744730*s\/3 + 68764300 = 0.\nAnswer: -110, 34098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8076.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.12 - 0.12. What is the fourth smallest value in 1\/3, -0.6, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -6, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19249445785\/3212 - -5992978. Let s = 1\/292 + u. Is s < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48645756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45, -14307, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/128)\/((-7)\/(-42)). Solve l**2 + f + 11\/4*l - 1\/4*l**3 = 0 for l.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 93 - 2*u**3 - 9*u**3 to the form z + a*u**2 + k*u + l*u**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.57303\nAnswer: 2.29212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + (0 - -2) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56, -56, -60, -68?\n\"Answer: -2*k**2 + 6*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = -4*k - 5*x, 0*x + 2*x + 702 = 5*k. What is the highest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -8889430?\nAnswer: -8889427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 8422032*n**2 - 10 - 1269586*n**2.\nAnswer: 7152446*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 + (14 - 2 - 5) and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530070, -530048, -530010, -529956?\nAnswer: -529886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 23*v + 84 = 0. Calculate the smallest common multiple of 10 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229561 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26\/31 - 537\/62. Let l = d - -10. Let x = -3.04 + 2.94. What is the closest to l in 2\/9, x, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.7 (b) 5\/2 (c) -3 (d) -0.0245 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 - u**3 + 3*u**3)*(-11 + 6*u + 11 + (-u - 4*u + 4*u)*(2 + 1 - 2)) to i + g*u + m*u**3 + l*u**4 + v*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 399, -6, -3, 6 in decreasing order.\nAnswer: 399, 6, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) 671\/24 (b) 0 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 13, 1 in descending order.\nAnswer: 13, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 10:18 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 601 - 601. What is the closest to q in 2\/31, 0.5, 3?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) - -3*(sqrt(320)*-2)**2 - ((1*sqrt(320) - sqrt(320))**2 + 5).\nAnswer: 8*sqrt(5) + 3835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13129 - 4869. Suppose 12*g = -2*g + o. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 - 961940*o**4 + 4809588*o**3 + 2885828*o**2 - 16352680*o + 9619200 = 0 for o.\nAnswer: -2, 1, 5, 240480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(2\/7)))\/(r\/((r**(1\/3)\/r)\/r)))**(-2\/3) assuming r is positive.\nAnswer: r**(58\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 19. Let s be p(15). Suppose -4*l = -2*l, -l + s = -2*x. Let f(n) = n**3 + 2*n**2 + n + 2. Calculate f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126168, -504675, -1135522, -2018709, -3154236, -4542103, -6182310?\nAnswer: -8074857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*o + 1132*o - 314 = 586 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-20)\/v**(-35))\/(((v*v*v\/v**(-2\/53)*v)\/v)\/v**(-2)) assuming v is positive.\nAnswer: v**(528\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -100111?\nAnswer: -100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 0*n**3 - 3*n**3)*(53*n + 3 - 33*n - 11).\nAnswer: -20*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 - 55*c - 4. Let s be a(-9). Calculate the greatest common divisor of 1915 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*t + 35*t + 5. Suppose -3*w + t*c - 91 = -282, 0 = -c + 2. Calculate the remainder when w is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-28) - (-6)\/(210\/155).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2193843118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:44 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(3 + 1) - 4. Let t(c) = 11*c**2 - 2*c + 1. Let f be t(1). Suppose m*u + f = u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 358853, 5 in descending order.\nAnswer: 358853, 5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -5, 0, 5.86?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 3}. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4*h - 4. Let u be c(-2). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-308)\/176)\/((-1722)\/48)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -48. Suppose -5*y = -12 + 2. Sort y, -3, a in descending order.\nAnswer: y, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261344?\nAnswer: 2, 3, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -12, -4, -25, 2, 166 in increasing order.\nAnswer: -25, -19, -12, -4, 2, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.05 + -14. Let r be ((-3 - -4) + -1)\/(-1). Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 5*j + 5. Calculate i(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264325799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 469986?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b = 36*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 37. Let n(u) = 3*u**3 - u**2 - u + 1. Let k be n(1). Suppose 4*x - 2 + 1 + x**y + x**k - 10*x + 5*x = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -185, -381, -645, -977, -1377, -1845?\nAnswer: -2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9*w**3 - 2 + 3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131317364?\nAnswer: 2, 31, 73, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/360 + d**4\/4 + 5*d**3\/2 + 16*d**2. Let p(a) be the first derivative of u(a). Calculate p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 9*f - 2*f - 2*f - 4.\nAnswer: 11*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19514057 take away -16742073?\nAnswer: -2771984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f = -37*f + 4*y - 21, -5*y + 5 = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460117 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 4*t - 8*t)*(50*t**2 - 110*t**2 + 13*t + 2 + 57*t**2) as p*t**2 + a + z*t + y*t**3 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/15495 and 77\/480345.\nAnswer: 480345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.92785 and -74268.\nAnswer: -74267.07215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904472443 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*w - 77, -w + 37 = 3*x - 16. Suppose 5*p - q = -5*q + 30, -5*q = -3*p - x. Solve -3*m + 5 = p*s, 6 = 2*m + s + 3*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58 - 46 + 2 + (-3 + 3 - 2)*(3 - 3 + 1) - 1 - 2 + 2)*(-14*q + 4 - 14*q + 27*q) to the form l*q + s and give l.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - ((566 - 571) + 0 + 15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let b(o) = 21*o - 10. Let x(y) = -2*y + 2*y + 16 - 23*y - 9*y. Let w(h) = 8*b(h) + 5*x(h). Determine w(l(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + (-65)\/40 - 9. Let m = -21 + 34. What is the closest to -2\/3 in m, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1016*(-4*(-2)\/(-32) + -1).\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1377 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (152\/266)\/(102\/(-21))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - (-138)\/7. Suppose 4*b - 9*b + a = 5*p, -p = -b. Let f be 72\/18 - (0 - 1). Solve h - 10 = -f*m - p*h, 0 = 3*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.1056.\nAnswer: 0.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 3 + 2*x + 6. Let n be (-155)\/35 + (-20)\/(-14) + -1. Calculate g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0.4 (c) 0.3 (d) 3 (e) -0.1 (f) 1\/21 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from bpobb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m + 87*m = 0. Is m smaller than -1\/692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/3349 + -204316\/30141. Find the common denominator of 53\/12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 3 + -6 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -168, -77, 16, 111, 208, 307?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3093595\/24 - 128848. Let v = 3159\/8 + -1825\/4. Let l = m + v. What is the common denominator of l and 69\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*v = 147*v - 346*v - 1683 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(288) + -1*sqrt(288)*2.\nAnswer: -36*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 53 - 87 = -5*r - 186, 11*r - 4*n + 64 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 4*k**2 - 51. Let v(n) = n**3 - 2*n**2 - 26. Give -3*m(f) + 5*v(f).\nAnswer: -f**3 + 2*f**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n + 2175 = -45*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 14 (c) 1593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:10 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/21)\/((-16)\/64). What is the closest to -1\/3 in 3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 145. Let q be (j\/(-2)*0\/6)\/(-2). Solve -3*h - 6 = -q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 6*(-3 + sqrt(539))*-4)**2.\nAnswer: -26544*sqrt(11) + 316705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -831*j**2\/2 + 1608. Let u(q) = -4*q. Calculate u(o(p)).\nAnswer: 3324*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - j + 12*j**2 + 13605 - j.\nAnswer: 12*j**2 + 13605","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, -903, -3, 0.06, -5 in ascending order.\nAnswer: -903, -5, -3, 0.06, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 3 - 158346*n.\nAnswer: -158346*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115416 and 602728.\nAnswer: 5424552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-6)*q*q)*q**(-4))\/(q**(-6\/7)*q*(q\/(q**(1\/4)\/q))\/q*q))**(18\/7))**(-17\/2) assuming q is positive.\nAnswer: q**(3825\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -1001?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a + -3146?\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3\/121, 111, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/60 + (1 - -1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412 + 10142*m**2 + 11500*m**2 - 19968*m**2 - 404 wrt m.\nAnswer: 3348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8\/(-12) - (-14)\/3 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -1622\/15. Let n = b + 1\/105. Let j = 3031\/9 - 337. Sort j, -3, n, 0.2 in descending order.\nAnswer: 0.2, n, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 1629518731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6263, 6264, 6265?\nAnswer: 6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + 2*q + 0*q)*(-q - 2*q + 5*q) + 1 - 4*q**2 - 1)*((-2 + 3 - 4)*(4 + 4*q - 4) - 2 + 2 + 2*q).\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5 + 13892*y**4 - 21459140*y**3 - 9501316440*y**2 + 19152569142*y + 28632412548 = 0.\nAnswer: -358, -1, 3, 3651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 704 + -694. Calculate the least common multiple of ((-2)\/(-6))\/(3\/54) and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1662520 and 20470.\nAnswer: 38237960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 742731703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/6 - 33\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*2\/(-12)*-10*(-3)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.08 (c) -1 (d) 2 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56365 - 5892 = -1401*i - 16775 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvjbbvbyujbtj. What is prob of sequence tu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -413 - -0.024686\nAnswer: -412.975314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**4 + 4*y**3 + 12*y**2. Let i(v) = -v**4 + v**3 - v**2. Let z(f) = c(f) + 12*i(f). Factor z(j).\nAnswer: 4*j**3*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*j - 5*a + 700, 0 = 3*j + a - 620. What are the prime factors of (4 - 4) + 0 + j?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/632 and 97\/22.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from {i: 2, n: 2, l: 6, y: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-36) + 1 + -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -2. Let v = -19 + x. Let b be (-2)\/(-9) - (-80)\/45. What is the closest to b in v, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from affmqffqfxxafxaxfxf.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1 (c) -19 (d) 35 (e) -1\/3 (f) -238\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0 (c) -1644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + w = 619842, -d - 4*w = -207092 + 478. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v**2 + 199*v + 32. Calculate t(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -272428460.4675.\nAnswer: -272428462.4675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19529a - 0?\nAnswer: 19529a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1125 = -5*m, -10*m + 14*m - 2250 = -2*v. Let j = v + -801. 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: Rearrange -j**2 + 2*j**2 - 6*j**2 + (2*j + 0 + 0)*(0*j + 2*j + 0*j) + 2*j**2 - 3*j**2 + 2*j**2 - 904*j**2 + 364*j**2 + 335*j**2 to x + d*j + y*j**2 and give y.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4373\/11 + 397. Let p be 38\/4*((-1385)\/275 - -5). Let f = y - p. What is the closest to -2\/3 in 0, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(5600))\/((-1*sqrt(1000) + sqrt(1000) - sqrt(1000))\/sqrt(5)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.43 + -1.47. Let s = -29.9 - -30. Let y = s - p. Which is bigger: y or -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*t + t + 1 - 4*t + t + t - t - 4*t + 3*t + t + 0*t + t + (0*t + 3*t - 5*t)*(-3 + 0 + 5) + t + 2 - 2.\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 + 303.1. Let d = 25.2 - c. What is d rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11361527 (base 8) in base 10?\nAnswer: 2483031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161547 or 161549?\nAnswer: 161549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59809806.\nAnswer: 2, 3, 7, 158227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 2*n - 1. Let h be z(1). Let b be (10 - -2)*h\/18. Solve 4*f = -5*r + 29, b*r - 8 = 4*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/95269 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 338 = -3*z, 3*z - 244 = z + 4*r. Suppose -5*u - 24 + z = 0. Let j be 8*((-27)\/(-6))\/(66\/11). Solve y - u = -3*v, -6*y = -4*y - j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 3*c. Suppose -o + c*o + 6 = 0. List the prime factors of (-4 - o)\/((-1)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i - 4. Let a(j) = -15*j - 107. Let u be a(-7). Let v(h) = -8*h - 2. What is u*c(b) + 5*v(b)?\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 791\/(-21) + 1090782\/29106\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -42430987\/14 and -3030786 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + j**4\/6 + j**3\/2 + 2*j**2 - 7*j. What is the tens digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087206 is divided by 3473?\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 25973*k + 571824. Give r(22).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/16 - 8\/(-5). What is the nearest to d in -0.03, 2, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/5, 5, 0.5, 1, -215, -0.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 5*k. Calculate m(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**3\/6 - g**2\/2 + 2*g. Suppose -3*q + 9 = -9*u + 5*u, 2*q - 8 = 3*u. Give x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-77)\/55 + 2)\/(6\/20). Solve 0*p - 12 = -4*p + q, -3*p - b*q = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 616 = h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 5. Let b = 3733 + -3742. Let d(r) = -13*r + 21. What is b*y(x) + 2*d(x)?\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5 (base 12) in base 14?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 149*l**2 - 126*l + 27. Let q(i) = 150*i**2 - 126*i + 27. Let o(f) = 2*q(f) - 3*s(f). Suppose o(k) = 0. What is k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - 2*a**2 - a**4 + a**3 - a**4 + a**4 to f*a**2 + d*a**4 + y + m*a**3 + p*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -94. Let s = 18.992 - y. Round s to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 5*t + 2. Let o(w) = w**2 - w. Suppose 5*j - i - 35 = 4*i, 12 = 3*i. Suppose -j = 5*f - 16. Give f*h(q) + 5*o(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*m = 5*m + 1670, -4*d + 3284 = 4*m. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 20699 in descending order.\nAnswer: 20699, 35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 139 + 781 = 0. Let s be 39\/48*4*t\/1. Solve 6*d + s = -7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p*p*p\/(p\/p**(-1))*p)*p))**(-16\/5))**45*(((p*p**0)\/p)\/p**2)**(-1) assuming p is positive.\nAnswer: p**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -13, 0, 0.0802, 0.025 in descending order.\nAnswer: 0.0802, 0.025, 0, -5, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/17 or 1909301?\nAnswer: 1909301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -522 (c) 2\/17 (d) -4 (e) -2\/7 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1696, -3068, -4110, -4822, -5204, -5256, -4978?\n\"Answer: 165*u**2 - 1867*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - 0.3. Let h = 145.5 - d. Let i = -146.913 + h. Round i to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005 * 16.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttfjtljtttt. Give prob of sequence tf.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*k**3 - 14*k**2 + 13*k**2 - k**2)*(-3*k + 3*k + 2*k).\nAnswer: 228*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 95*d**2 - 1 + 23*d + 96*d**2)*(5 - 5 - d**2).\nAnswer: -d**4 - 23*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4037632\/48640 - (-4)\/(-380).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8121 = -3*c - 2382. Let a(q) = q**2 + 56*q - 101. Let i be a(55). Let h = i + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 29. Let r be c(7). Let a(n) = -41*n + 46 + r*n - 46 + n**2. Give a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c. Suppose 13 = 2*y + 3*b, 11 = y - 0*b + 3*b. Suppose -y*m = -3*x + 3, 2*m - 4*m = -x - 3. Sort m, -1, c in decreasing order.\nAnswer: m, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/17)*y*y**(-2) assuming y is positive.\nAnswer: y**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1072130 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f + 3 = 0. Let h = -104 - -110. What is the units digit of (1 - (-9)\/(-2))\/(f\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*w + 42, w - 2*g = 10 + 7. Let m be (-3)\/w + 155\/25. Solve y = 5*b + 21, 0 = -3*y - m - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9689 - -0.14.\nAnswer: 9689.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 1. Let f(j) = -2*j**3 + 4*j**2 - 3*j + 1. Let c be f(2). Let k(i) = -i. Suppose -d - 3*b + 6*b + 4 = 0, -5*b = 5*d. Determine c*k(x) + d*n(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 70 - 43 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 899*f + 29*f + 276*f - 74648 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v, 0*v - 660 = -4*q + 4*v. Let o be ((-28)\/(-42))\/((-8)\/q). Is o <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -89\/7, -6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n**5 + 61*n**5 - 7*n**5)*(-6 - 4 + 4).\nAnswer: -408*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/14 + -10)\/(783\/(-3654)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkmmmmmhrhm. What is prob of sequence km?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/60 + 5*i**4\/12 + i**3 - 5*i**2. Let w be n(-5). Let o = w - -25. Solve o*m - 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 16276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -35*d**2 + 2. Let g(i) = 36*i**2 - 3. What is -2*g(l) - 3*w(l)?\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -38*i. Let v be (5 - 10\/2)\/3. Let r(h) = v*h + 13*h - 14*h. Calculate a(r(l)).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 18 = 2*r, -2*k - 3*r + 1317 = 0. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 8908268.\nAnswer: 8908268.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 371868.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6468 and -53\/4488.\nAnswer: 219912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-15) - (-430)\/(-25). Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4150155720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t**3 + 5*t**2 + 5*t - 5. Let g(p) = -7*p**3 - 2*p**2 - 2*p + 2. What is 2*c(m) + 5*g(m)?\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-8)*42\/(-126).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from {p: 5, q: 1, h: 6, f: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007462214 rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + i - 18 = 38*m, 15 = 5*m + 5*i. Suppose -5*h + 135 = -v, -2*h - 5*v = -6*h + 129. Suppose 3*w - 10 = -f - h, w = -3*f - 16. Sort m, f, 1.\nAnswer: f, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 354, 786, 1392, 2172, 3126, 4254?\n\"Answer: 87*k**2 - 3*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(3 - 0 - 6). Let h be (6\/(-9))\/(2\/j). Let g(b) = -2*b - 4. Let s be g(h). Solve 0 = w - 2 - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25541 - 16105 = -6*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((6\/(-807))\/(1 + 0)). Let t = -364 - x. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*s - 693*s - 360*s - 385*s - 921*s + 2541 with respect to s.\nAnswer: -2324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:10 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*y + 130*y**3 - 60*y**3 - 66*y**3 + 71*y + 2 to the form n*y**3 + o*y + t*y**2 + x and give o.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193777?\nAnswer: 107, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -2490882 = -22417934\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61228.\nAnswer: 2, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 15*d**2 + 184*d + 16*d**2 to c*d + p + x*d**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v + 2. Let k be (-2)\/(-1)*(v - -5). Solve -c + 2*p + k = 4*c, -4*c + 3*p = -17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1728) - (sqrt(1728) - 2*sqrt(1728)*-5)))\/((sqrt(108) + sqrt(108) + sqrt(108) + 5*sqrt(108)*-1)\/(1*sqrt(1452))).\nAnswer: 1320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 348 = 0. Suppose 188*p = 79*p - 235*p + 688. Calculate the least common multiple of n and p.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -2082a9?\nAnswer: 2082a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c + 2. Let u be p(8). Let g = 107 - 59. Let o = g - u. What is the greatest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -464 (b) -296 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364b1 (base 14) in base 7?\nAnswer: 1061511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 2, u: 2, g: 1, v: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 13. Suppose -2*f = 5*v + 17 - 66, 43 = 5*v - f. Let g be r(v). Solve 22 = -5*j - 2*o, g*j - 4*o = -3 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27611, 27590, 27531, 27416, 27227, 26946, 26555?\n\"Answer: -3*g**3 - g**2 + 3*g + 27612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2\/3 + 13165*q\/3 + 13160\/3 = 0.\nAnswer: -2632, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2379, -16399, -53711, -125961, -244795, -421859?\n\"Answer: -1941*t**3 - 433*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1604258\nAnswer: 8021290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-47)\/(-12) + 6\/(-9))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 175402461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61.28272 days?\nAnswer: 5294827008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, n: 3}. What is prob of picking 3 p?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 25\/20*2. Let a be (-10)\/8 - (-2)\/1. Find r such that a*r - 3\/4*r**3 + m*r**2 - 3\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 150 = -17*y. Let h be 180\/385 - y\/(-55). Are h and -2\/1105 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13431 and 201828.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 80 - -53 - 4\/3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:54 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80621, 322507, 725647, 1290041?\n\"Answer: 80627*n**2 + 5*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**2*i**4 - 3*f**2*i**2 - 163*f**2 + f*i**3 + 34*f*i + 10145*i**4 - i**2 wrt i?\nAnswer: 336*f**2*i + 6*f + 243480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + q - 115 = -2*q, 5*z - 2*q - 490 = 0. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/(3\/30). Let h(v) = 9*v + 12. Let d(x) = x - 1. Let m(n) = 6*d(n) - h(n). Let q(z) = -1. Let b(o) = u*q(o) - m(o). What is b(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -38. Suppose 0*m + m = -2*n - 1, -m - 4*n - x = 0. Solve -3*s + 6 = -m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:27 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 - 124\/(-20) - (-4)\/(-20) and 23?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.2711 milligrams in nanograms?\nAnswer: 206271100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 10*v + 15 = 0. Let i be -3 - 10\/v - (-5)\/3. Suppose -8\/5*o**i - 8\/5*o**4 - 12\/5*o**3 - 2\/5*o**5 + 0 - 2\/5*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157062816 by -2066616.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -60402570522941.\nAnswer: -60402570522945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 326 = -8*s + 5*s, p - 76 = -3*s. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27006 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273729*a**6 - 23*a**3 - 15824411*a**2 wrt a?\nAnswer: 32847480*a**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - a - 2. Calculate the remainder when 64 is divided by d(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 18*n**2 - 47*n - 14. Let x(z) = z**3 + 17*z**2 + 46*z + 18. Let f(j) = 3*h(j) + 4*x(j). Let f(t) = 0. Calculate t.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624632.\nAnswer: 2, 3, 139, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213023, -213057, -213121, -213215, -213339, -213493?\n\"Answer: -15*u**2 + 11*u - 213019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d + 4*d**2 + 7*d**2 + 18*d + 12*d wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 969, 2168, 3847, 6006?\nAnswer: 8645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krnmkkmkmnrk. What is prob of picking 1 n, 1 m, and 2 k?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:08 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9. Suppose -4*p + 2 + 6 = 0. Does 7 divide ((-1)\/p)\/(i\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499718947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = r + 3, 2*l + 2 = -r. Solve r = -5*c - 0*u - 4*u - 4, -c = 5*u - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**2 + 29*o**2 + 30*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10454348 and 166.\nAnswer: 10454348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 0)*27\/(-36). Let v be m\/(-6) + (0 - -2). Let a be 3 - 3\/3 - -2. Solve k + 0*q = -q - v, -k + 24 = -a*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*m - 298*m - 20 = 4*q, 0 = -5*q - m + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, 2, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, -4, -10, 1, -16 in descending order.\nAnswer: 195, 1, -4, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526, 704, 882, 1060, 1238, 1416?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347638 < 347639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 104. Let m(h) = 6*h + 65. Let w(l) = 5*j(l) + 8*m(l). Let k(n) = -434*n**2. Give k(w(g)).\nAnswer: -1736*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 567, 662, 759?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6752152 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.806786 years to months.\nAnswer: 117.681432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035327589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4913*i**3 - 6*i**2 + 6*i**2 + 5046*i**3)*(2*i - 6*i + 2*i) + i**2 - i**4 - i**2 in the form o + z*i**4 + j*i + k*i**3 + v*i**2 and give z.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*t - 4 - 3*t + 0*t + t + (4 - 1 - 5)*(4*t - 7*t + 2*t) - t + 3*t - 3*t + 68*t - 12*t + 94*t to c*t + q and give c.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859172.\nAnswer: 2, 347, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 - 4. Let z(r) = -8*r**2 + 5. Let q(c) = 5*u(c) + 4*z(c). Calculate the lowest common multiple of 3 and q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(832) + sqrt(832)*1 - (sqrt(832) + sqrt(832)*-2*-2) - (-2 + sqrt(832) + 4 - (2 + sqrt(832) + 1))))**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) -0.037 (c) -63607 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wea when three letters picked without replacement from {a: 1, s: 1, e: 1, j: 1, w: 2, t: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*y = 76, -4*x - 18 + 86 = 2*y. What is the least common multiple of x and 51?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 2361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 = -2*p - 0, 0 = 5*k + 10. Suppose 2*b = 3*q - p, 2*b + 9 = b - 4*q. Put b, 2, -7 in increasing order.\nAnswer: -7, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/(54\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 14*c - 220 = -0*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.11 + -30.91. What is i rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -83\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 188598 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/10*(-1 - -1). Suppose -4*s = 2*w - 16, 5*w - 3*s = -u*w - 12. Suppose w*z = -5*z + 4800. Round z to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114, -149, -212, -309, -446?\n\"Answer: -p**3 - 8*p**2 - 4*p - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*u + 1 - 1 - 92*u.\nAnswer: 471*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (-12 + (15 - 7) + -9).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 908\/7 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.4673 meters to millimeters.\nAnswer: 83467.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -48. Suppose 4*d = 2*d - 4*d + 210. Calculate the greatest common factor of d and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + 27. Let f = -7596089.999756 - -7596035. Let t = f + y. What is t rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80723, -161578, -242565, -323678, -404911?\nAnswer: -486258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:22 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402900 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p**(1\/22)*p))**(-37)\/((p**5*p\/((p**(-2\/11)\/p)\/p*p))\/(p**6*p*p**(-4))) assuming p is positive.\nAnswer: p**(-227\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413 - 100 = -231*i + 315 - 1081 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l. Let d = -3 - -1. Let n(q) = q. Let j(h) = d*n(h) + 2*y(h). Let o(f) = 2*f. Let m(c) = -c. Let p(v) = 4*m(v) + o(v). What is j(p(g))?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -2\/5 (c) 4 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*q**2 - 20*q**2 - 117*q**2)*(0 + 0 + 2*q**2).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1043 - -1029. Sort 3, -2, g.\nAnswer: g, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111010011011001 - -10010011?\nAnswer: -10000111010001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 6445, -0.06, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 156\/6 + 2. Find the common denominator of 47\/60 and (-382)\/z + (-18)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/120 and ((-292)\/48)\/((-30)\/(-24)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*i**3 + 135*i**3 - 273*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 606816 divided by -4?\nAnswer: -151704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 47*l**2 - 119*l + 319. What are the prime factors of u(50)?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 3, 10.\nAnswer: -14, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-316)\/(-1738))\/(90\/22).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-4)*-22*(-26)\/429?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6454 + -13?\nAnswer: -6467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540573603.\nAnswer: 3, 347, 519283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -58 + 9 + 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*58\/1044*18\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*i**2 + 12*i - 1 - 14*i - 2 + 5 + 0 to the form w + f*i**2 + v*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*w + 110, -w - u + 68 - 19 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 3 - 4*v + 7*v + 0. Suppose 0 = z - 4. What is g(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2448) - (sqrt(2448)*2 + 3) - (sqrt(2448) + -2 + sqrt(2448) + -5))**2 + -3.\nAnswer: -288*sqrt(17) + 22042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*t**5 - 12*t**4 + 12*t**3 + 116263*t wrt t.\nAnswer: -260*t**3 - 144*t**2 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1089\/553?\nAnswer: -1089\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -63*n**2 + 28*n + 28. Suppose -36 = -10*s - 6. Let i(j) = -7*j**2 + 3*j + 3. What is s*v(r) - 28*i(r)?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 603*z + 7860. Determine i(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 + z + 6. Let k be y(-6). Suppose k + 10 = 5*i. Solve -a - 1 = i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 63aa264?\nAnswer: -63aa264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288562492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 8*w + 5. Let q be p(6). Let c(t) = t - 1. Let g(a) = -7*a + 13. Let z(h) = -8*c(h) - g(h). Calculate z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -350 - 171\/2*g + 1\/2*g**2.\nAnswer: (g - 175)*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -2 (c) -5\/3 (d) -5.2 (e) -2\/7 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167516 divided by -1?\nAnswer: -167516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 78 - 66 + 5*i**2.\nAnswer: 3*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3418051 and 286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -3. Suppose -m - 33 = 51. Is 11 a factor of m\/(45\/u - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvhvdvhvdh. What is prob of sequence hddh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/79*-4*(-4)\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*l - 160, -64 = -2*l + h - 2*h. Let u be l\/35 + 2\/7. Let z = -40689 - -40684. Which is the smallest value? (a) -1 (b) 4 (c) u (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-97)\/(-291) - (2 + -2). Solve -1\/3*b**4 - 1\/3*b**3 + 1\/3*b + 0 + k*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3448665?\nAnswer: 3, 5, 11, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -118, -209, -332, -487, -674?\n\"Answer: -16*s**2 - 11*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 - 28221*s**3 + 282311*s**2 + 28221*s - 282310 = 0.\nAnswer: -28231, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*((sqrt(76) - (sqrt(76) - sqrt(76)*1)) + sqrt(76)) + sqrt(76) - sqrt(76)))\/(sqrt(8)\/(sqrt(98) - (sqrt(98)*1 - sqrt(98)))).\nAnswer: -280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2444140 (base 5) to base 10.\nAnswer: -46795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127720383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 - 2 = 0. Let d(w) = 3 - 3 + i*w + 1. Suppose -165*h = 1435*h + 5629 - 1160 + 1931. Calculate d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -649*b**3 - 133*b**3 - 375*b**3 - 6*b + 85*b**3 - 485*b**3 + 3117*b**2.\nAnswer: -3*b*(b - 2)*(519*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994, 1996, 3034, 4108, 5218?\nAnswer: 6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -220. Let w be 6\/21 - q\/21. Suppose -f = -5*b + 24, 4*b + 5*f - 1 = -w. What is the third biggest value in b, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2290388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c + c**5 - 7*c - 12*c**5 wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 5*a**2 + 5 + 10*a**2 - 9*a**2 to k*a + v + x*a**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -49*v**5 - 2135*v**4\/2 - 1780*v**3 + 2060*v**2 - 640*v - 315. Determine l, given that h(l) = 0.\nAnswer: -16, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(-4\/9))\/c)\/c**(12\/7))**(25\/3)\/(c**(1\/14)*c\/(c**(-3\/16)\/c))**18 assuming c is positive.\nAnswer: c**(-64879\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78449573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -196720, -787387, -1772000, -3150559, -4923064, -7089515, -9649912?\n\"Answer: -196973*v**2 + 252*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Let h(n) = -4*n - 3. Let a(k) = 4*k - 7*k + 27 - 29. Let m(d) = 332*d - 657. Let l be m(2). Give l*a(g) + z*h(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 222? (a) -0.4 (b) -138 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**2 + s**5 + 9 + 0*s - 5\/2*s**4 + 0*s**3. Let p(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -8. Suppose 4*r - 54 = -3*m, -2 = -2*m - 5*r + f. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 13*z - 10. Let k(s) = -2*s + 1. Let n(t) = c(t) + 4*k(t). Let x = 1 - 6. What is n(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 441*r + 458*r - 3*r**2 - 2*r**2 + 0*r**2 + 10 as f*r + t*r**2 + b and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 107*t + 1. Let f be d(12). Let s = f - 273. Solve 3*a + 6 = -3*l, 5*a + s*l = -10 + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7041, 7163, 7295, 7443, 7613, 7811, 8043?\n\"Answer: u**3 - u**2 + 118*u + 6923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.354 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 - 3*r. Let g be j(2). What is the common denominator of 113\/(-12)*-2 - -1 and (-9)\/g*48\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 32 = -8*h. Let u be (h - 4) + (3 - 5). Suppose 0 = -t - 0*t. Solve -u*y - 3*y - 20 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -0.05, -653, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(56\/(-12)))\/((-649)\/40887)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 2380*w**2 - 2392*w + 4768.\nAnswer: 4*(w - 596)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18526991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -152347 (base 11) in base 13?\nAnswer: -84044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (0 + 5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.062 + -12.2. Let j = p + -0.047. Let w = -0.1991 - j. Round w to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*m - 4*x + 29, -m = 3*x - 28. Let q = m - 2. Suppose k = -0*k + 5*t + q, -3*k = -4*t - 33. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -12\/35, -5\/4, -18, -36, 1\/6?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35781787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -71 - 55\/6*n**2 - 5\/12*n**4 - 20\/3*n**3 + 0*n. Factor a(z).\nAnswer: -5*z*(z + 1)*(z + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - (-16 + 23 + 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13887449.25 to the nearest 100000.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17450 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.2, 2.84, 1.7, -0.7, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-172 - -110) - 107.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -326*s - 1. Let i be p(1). Let o be i\/(-5) + 4\/(-10). Suppose 0 = 2*l - 2, 5*l + o = -3*t + 8*t. Calculate the smallest common multiple of t and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -45*z + 14. Let i(t) = -25*t + 7. Let j(s) = -7*i(s) + 4*x(s). Let g(n) = -4*n + 6. Let o = 10 + -17. Give o*g(c) + 6*j(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 92365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -11 - (-53 + 50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31592 or 31591?\nAnswer: 31592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:58 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -20. What are the prime factors of (-3 + 4)*(40 + n)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136917245.\nAnswer: 5, 41, 61, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 436.6091 + -611.608802. Let l = a - -175. What is l rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + f - 6*f - 25, 5*f + 22 = 4*w. Suppose -2*h = 3 + w, -h = -4*o - 49. Let v = 30 + o. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1314241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3\/13, 1523 in increasing order.\nAnswer: -5, -4, -3\/13, 1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28c5 - 10?\nAnswer: -28d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -8810.\nAnswer: -1\/8810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 0, 244, 5.\nAnswer: -11, 0, 1, 5, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 29*f**6\/30 + 30*f**2 + 60*f. Differentiate q(s) with respect to s.\nAnswer: 116*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 69 - (-30 - (-65 + 48))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 23*r**2 + 330*r + 2539. Give j(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -1*(-1 - 0). Suppose 0 = -2*s + y - 6 + 3, -y = -1. Let q be s\/6*-3*0. Sort q, 2, c in descending order.\nAnswer: 2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 53*j - 2385. Let m be s(45). Let l = -25 - -45. Solve -3*t = 0, m*t = 4*w + 5*t + l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 19*n + 71. What is the hundreds digit of w(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -809 (base 10) in base 11?\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353346.\nAnswer: 2, 3, 7, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 2, v: 1}. Give prob of sequence vll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12931072 by -8.\nAnswer: -1616384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 62, 92, 122, 152?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0 + 0)*(m**2 + 2*m**2 - 4*m**2) - 4*m**4 + 2*m**4 + 0*m**4 + 2*m - 2*m - 2*m**4 + (-3*m**2 - 2*m**2 + 3*m**2)*(2*m**2 + 4*m - 4*m).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7708*h**3 + 329*h**2 - 329. Let g(j) = 47*j**3 - 2*j**2 + 2. Determine -4*b(f) - 658*g(f).\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/11 + 564*c**3\/11 + 39760*c**2\/11 - 564*c\/11 - 39762\/11 = 0. What is c?\nAnswer: -141, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k)**(-14)\/(k**(-5)\/k*k*k**6) assuming k is positive.\nAnswer: k**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61119875?\nAnswer: 5, 488959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 + (-5)\/(-7). Which is smaller: -2\/47 or p?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3915 = -4*s, 1145 = s + 3*y + 169. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33204177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (78\/4)\/(30\/80). Suppose -2*b = -4*y + 376, -4*y + 364 = 4*b + 24. Calculate the highest common divisor of y and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 4, 7, 8, 7?\n\"Answer: -n**2 + 8*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-128))\/(3\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397\/2 - 2\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -699*j - 13880. Determine k(-20).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 + 698. Let y = -407 + j. Which is the nearest to 0? (a) 0.1 (b) y (c) -10\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493*0.15.\nAnswer: -73.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*3*(((sqrt(153) - (0 + -2*sqrt(153))) + sqrt(153))*-4)**2*-2*5.\nAnswer: -4700159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -19*a + 6*a**3 - a**3 + 7 + 8*a**2 - 12*a**3. Let i(k) = -4*k**3 + 4*k**2 - 10*k + 4. Let b(s) = 5*i(s) - 3*v(s). What is the tens digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-42) - 9078\/(-42)*3. Let i be 9\/(u\/(-16))*(-7 + -2). Suppose 0 + 0*m + 2\/5*m**3 + 2\/5*m**i = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (4 + sqrt(468) + sqrt(468)*2*-5 - (4*(sqrt(468) + sqrt(468) + 0 - sqrt(468)) + sqrt(468)*2*-1)))**2*6.\nAnswer: -339774 + 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17819453.\nAnswer: 137, 130069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4066 = a - 4*a, -5*a = 5*k + 6790. Let w be (-4254*a\/256)\/((-1)\/(-1)). Let z = 22531 - w. What is the common denominator of -143\/12 and z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1251*l + 608. Determine r(1).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580382 divided by -18722?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -187 in -6\/47, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 18, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7533236176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*504\/98?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/40 - (432\/(-64))\/(-27)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2924170 divided by 41.\nAnswer: -2924170\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (1 + -5)\/2. Suppose -v*t = -4*f - 20, -3*f - 29 = -5*t - 2*f. Is ((-212)\/t)\/(4\/(-6)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 19*o + 17. Let i(x) = -x**2 - x - 1. Let v(k) = -3*i(k) + n(k). Let y be v(15). Put -4, y, 7 in increasing order.\nAnswer: -4, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-6*1*sqrt(80)\/sqrt(4))\/((sqrt(576) - -2*sqrt(576) - sqrt(576))*2 + sqrt(576) + (sqrt(576) - sqrt(576)*2*2))*4)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 372*v**2. Let y(b) = -7*b**2. Give g(y(q)).\nAnswer: 18228*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 + 15 - -11) + 30?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 192 + 2*r - 5*r + 10*r + 117 to t + m*r and give t.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Suppose -9 + 3 = 3*p. Which is the nearest to 0.2? (a) p (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824 equal to -4.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 8, -14*c = -4*g - 10*c + 100. Let o(w) be the first derivative of 0*w**2 - g + 20*w + 1\/3*w**3. Find the first derivative of o(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.2 - -13. What is the nearest to 1 in 3, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 23 + 22 + 45*j in the form f*j + o and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55507 is divided by 2523.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 26326.\nAnswer: -2, 0, 26326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 118392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 455, 1013, 1611, 2243, 2903, 3585?\n\"Answer: -u**3 + 26*u**2 + 487*u - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 72*m**2 - 88*m + 1685. Determine k(71).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1905*t**4 - 68 - 2*t**2 + 2028*t**4 - 3917*t**4 + t**3 as f + s*t**2 + j*t**4 + a*t + o*t**3 and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -106*b - 2343. Let p be i(-22). Let h(g) = -9*g - 2. Let c(o) = -26*o - 5. What is p*h(x) + 4*c(x)?\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-2 + 0 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/8261 and 51\/6008.\nAnswer: 66088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13 + 3 + 15094)\/(6\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9489, 9480, 9459, 9420, 9357, 9264?\n\"Answer: -t**3 - 2*t + 9492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 229, 617, 1303, 2365?\nAnswer: 3881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.63 - -70.8. Round o to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/27 - (-3)\/((-216)\/32). Suppose i = 368*t - 355*t - 208. What is the greatest common divisor of 816 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:17 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 52789?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1273\/264 + -95\/24. What is the common denominator of -85\/104 and f?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -44, 3203 in descending order.\nAnswer: 3203, -15, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*t - 10, 3*t = -0*t - u + 2. Is t greater than or equal to -4\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -3643, -8594, -15633, -24760, -35975?\nAnswer: -49278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 200. Suppose 0 = -9*b + r + 170. Solve b - 31 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/6 - i**3\/2 + i**2 - 6*i. What are the prime factors of g(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - (-3 + 9 + -13)) + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 141 - 33 = -4*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let t be ((-3 - 1) + 3)*5. Sort 1, y, t.\nAnswer: t, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49536 and 18576.\nAnswer: 148608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414955 is divided by 1556.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -388, -873, -1552, -2425, -3492, -4753?\nAnswer: -6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61740 and 10860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 0*r + 4 - 11*r - 5*r**3 + 11*r. Let w = -3 + 6. Let h(t) = 4*t**3 + 3*t**2 - 3. Give w*m(c) + 4*h(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + 4*i - 1. Let w be h(-3). Suppose 24 = 2*z + 4*r - 38, 5*z = w*r + 80. Calculate the least common multiple of z and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -2*f**5\/5 + f**4 - 2*f**3\/3 - 49. Factor u(z).\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15317 - z**3 + 30643 - 15310.\nAnswer: -z**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 4*a + 1. Determine o(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 45. Let u be r(-14). Let o = u + 81. Suppose -4*v + 328 = -m, v - 3*m - 61 = -o*m. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 3*o - 3*o**2 + 4*o**2 + 0*o**2. Let w(u) = -u**3 - 3*u**2 - 2*u + 2. Let q be w(-2). Is v(q) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6919 (base 10) to base 4.\nAnswer: -1230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - z - 9 + 4 = 0, 9 = -3*q - 3*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**0\/a)*a\/(a\/(a\/(a\/a**(-20)))))**(-2\/3) assuming a is positive.\nAnswer: a**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*(y\/(y\/(y*y**0)*y))\/y)\/((y*y\/(y*y**(-1)*y))\/y)**(-7\/4)*(y**(2\/7))**(1\/19)*y*y\/(y\/y**(2\/11))*y*y**(-2\/5) assuming y is positive.\nAnswer: y**(20459\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/12600 - i**6\/3600 + i**4\/24 + 2*i**2. Let b(s) be the second derivative of n(s). Factor b(f).\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -z + 4*z, -2*b + 14 = 4*z. Solve 3 = -c, 5*c = -z*t - t - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3617 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 51*v**2 - 27*v + 108. Let t be y(50). Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:03 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 2)*(-2*y - 2*y + 3*y) - 91*y - 102*y + 30*y in the form a + m*y and give m.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3 + 3)*(2*p + 2*p - 5*p - 2*p - 1 + 1 + (-4*p + p + p)*(-1 - 2 + 4))*(4*p + 0*p - p).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 + 5*w + 6. Let n be p(-3). Suppose -2*a = -3*s + s - 26, a = -s + 9. What is the least common multiple of a and 4\/5 + n\/45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.75 + 12. Let x = f - -3. Round x to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2*a + a + 3*a) - 3 + 2*a + 3 + 0 + 2*a + 0 - 4967 + 4967 + 225*a + 8709*a.\nAnswer: 8940*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 145*i**2 - 146*i**2 + 1.\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*b - b = 228, -w = 4*b + 123. Let v = -81 - w. Which is bigger: 33 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/2)\/(574\/(-82)))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 57. Let y be 2 + 1 + x + 0. Solve -5*c = y + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*n - 171*n - 192 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9476.479kg to grams.\nAnswer: 9476479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 1. Let s be h(3). Suppose -j = -2*p - s, 2*p + 3 = 5*j - 4. List the prime factors of 11 + (-3)\/((-9)\/p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 24. Let c be i(3). What is the common denominator of 180\/(-1644)*(-9)\/c and 83\/6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - (-7)\/3. Let w be (2 + 0)\/(2\/g). Suppose -4*c = s - 3, -c = 5*s + 4*c - 15. Solve -n + 6 = w*u + n, -15 = -s*u - 5*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 10*s + 5. What is the units digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119\/72 - 1\/72. Let f = -2.6 + 2.4. Which is the closest to -2\/5? (a) -3 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - (-5 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 46. Let n = -2024 - -1969. Is t > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0337629 take away -2.5?\nAnswer: 2.4662371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n)\/(n**(2\/9)*n*n))**(-37) assuming n is positive.\nAnswer: n**(2738\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -14)*2\/1. Let d = o - 30. Sort 0, d, -4, 8 in increasing order.\nAnswer: -4, d, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133968, -133482, -132996, -132510, -132024?\nAnswer: -131538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15855*(5\/15 - 0). Calculate the common denominator of x\/(-60)*(1 - 395\/385) and 51\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyuudyddyydfsuy. What is prob of sequence dfu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.82484 millilitres in litres?\nAnswer: 0.00682484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*o - 214*o + 32 = 13*f, -3*f = 3*o - 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 151*i**2 - 6. Let r be v(2). Calculate the highest common divisor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 4*r - 3. Let k be m(2). Let t = 3 - 3. Let z = t + -2. Put k, z, 4\/7 in increasing order.\nAnswer: k, z, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.132563ng in tonnes?\nAnswer: 0.000000000000008132563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 3)*(21*r - 21*r + 3*r**2) to the form c*r**2 + f + l*r and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186215346311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-7) + (-4)\/(-14). Let w be -13*(-2)\/f - -2. Suppose k - 3*q - 10 = -9, -5*q + 31 = 3*k. What is the greatest common factor of k and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9954.9182 + -9957. Let f = i - -0.0818. Let g = 14 - 10. Which is the fourth smallest value? (a) -0.06 (b) g (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 34. Let f(k) = -k - 7. Let r(h) = -h - 8. Let d(n) = -2*f(n) + 3*r(n). Calculate d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*5\/(-6))\/((-50)\/(-6943290)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from rtqdqddqqdddrgb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.134 and 0.039.\nAnswer: 0.005226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3381*z**2 + 48*z - 34. Let d(w) = -1128*w**2 + 17*w - 12. Give 14*d(t) - 5*u(t).\nAnswer: 1113*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.924 - -75.076. Let j = -1125278.140133 + 1125201.14. Let b = j + x. Round b to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126624.3 to the nearest 100.\nAnswer: 126600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6408741?\nAnswer: 3, 2136247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 78*u**2 - 75*u = 0.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-402)\/603*3\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/84)\/((-2)\/1*-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wywwywwyyywywyyy. What is prob of picking 1 y and 3 w?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 209*b + 2*b**2 + 28 - 209*b + (-b**2 - b + b)*(0 - 3 + 2) - 2*b**2 - 3*b**2 + 3*b**2 + (6*b + 2*b - 5*b)*(2*b + 2*b - 6*b) + 4 - 4 - 2*b**2.\nAnswer: -7*b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*t**2 + 15\/4*t + 18.\nAnswer: -3*(t - 8)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -50*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(5\/13))\/p*p**(17\/4))\/(p*p**(1\/29)*p**(-4\/3)))**(-43) assuming p is positive.\nAnswer: p**(-959717\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 9*n**5 + 5*n**5 - 3*n**5 + 5*n**5 - 3*n**5 + (5*n**4 - 2*n**4 - n**4)*(0 + 0 + n).\nAnswer: 14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 43 = -3*f, g + 2*f = 4*g - 22. Suppose 4*b = -5*o - 1, -6*o - g = 2*b - 2*o. Find the second derivative of -22*t + b*t**3 + 24*t - 12*t wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3761 + 0.3761. Which is smaller: 94\/83 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x - 2*x)*(-1 + 1 + 1)*(4 - 2 + 0 + (-4 - 1 - 6)*(3 - 3 + 2) + 2 - 4 + 1)*(-21 + 3 - 4) in the form a + u*x and give u.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -398.2 - -398.3. Which is the nearest to l? (a) 1 (b) 0.5 (c) -4044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:47 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 173*u**5\/60 - 1459*u**4\/24 + 1231*u**2. Find the second derivative of m(k) wrt k.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 364 - 376.85. Let q = 0 + 13. Let k = t + q. Which is the third biggest value? (a) k (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -588, -2091, -5016, -9837, -17028, -27063, -40416?\nAnswer: -57561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 x when three letters picked without replacement from imxkzfz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 157, 163, 161, 145, 109, 47, -47?\n\"Answer: -m**3 + 2*m**2 + 7*m + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 1 + 1 + ((3*g - 3*g - g)*(-2*g + 2 - 2) + 1 - 1 - g**2)*(-6 + 8 - 7).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 83. Let k(o) = -4*o - 188. Let m(h) = -9*j(h) + 4*k(h). Let g(r) = -3*r + 8. Determine -5*g(q) - 8*m(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -10, -11, -10, -7, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303327761 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 373*w - 380*w + 1.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 61*r**2 + 231*r - 78. What is i(-34)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 27*y - 1078. Calculate s(34).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228427272 and 1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*a - 24*x + 22*x, -2 = 5*a + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2193853649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 9 - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22771146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 + 5*w + 1. Let f be h(-5). Let k(d) = -f + 0 + 3*d + 1 - 1. Calculate k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-36) - (-2)\/(-3). Let c be (x - 0)\/(-1) - (-9)\/1. What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/2 - w**2\/2 + 2*w + 2 = 0 for w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/18 + 12596\/(-33768).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*w**2 - 5*w + 1311 - 1311 + 5*w.\nAnswer: -838*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 73\/(-2) + (-2)\/4. Let y be 2\/(-3) + 800\/12. Let s = y + w. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19740014647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386809.\nAnswer: 17, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.99 + 3. Let l be 7 - (11 - -1 - 0) - 21\/(-4). What is the closest to 1 in l, h, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9340, 37297, 83788, 148729, 232036?\nAnswer: 333625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 - z**2\/2 + 3*z. Let k be d(3). List the prime factors of -1*(2 + (-3 - k)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4687 - -3?\nAnswer: 4701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*n + 9*n + w, 20 = 4*n - 3*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 52 = -4*y + 3*y, y - 2 = 0. Suppose 24*v = u*v. Let s be -1*2*9\/(-6). Solve 0*x + x + d - 4 = v, 0 = -s*x + d + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56840?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2. Let o(n) = -9 + 1 + 1 + 8*n. Let c(w) = -w + 1. Let f(a) = -21*c(a) - 3*o(a). What is m(f(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 227\/10, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2064749?\nAnswer: -1\/2064749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-120) + (-3)\/6. What is the nearest to -0.1 in d, 0.05, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbobbobo. What is prob of sequence bbb?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*b = 5094989 - 5058161 for b.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.969 > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000223019.\nAnswer: 3, 617, 60041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 567 and 179.\nAnswer: 101493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 231*r + 5 + 6 + 70*r + 3. Let a be s(1). Calculate the greatest common divisor of 45 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:40 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + h - 2 - 1 + 2 - 5*h. Does 4 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 338*v + 338*v + 56*v**2 + 1 - 4*v**3 + 0 to h*v**3 + s + t*v**2 + c*v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 52?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1\/2 - -3. Let j be -1 - b\/(-42)*-9*-1. Let h = 1 + 3. What is the third biggest value in h, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 348*q + 1236 = -3048 - 1508 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -180, -400, -708, -1104, -1588, -2160?\n\"Answer: -44*n**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*g - 1040*g - 468 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 + -14?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135750 or -135759?\nAnswer: -135759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2169 + 2169. Solve 18 = -5*l + f, 0 = -s*l + 2*l - 4*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 15. Suppose 41 = 4*m + 5*b, a*b = -2*m + 3*b + 15. Let i be 1 + (3 - (1 - 0)). Solve 3*w - m = i*r, w - 2*w = -2*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c - 8. Let y(p) be the first derivative of 5*p**2\/2 + 2*p - 250. Calculate y(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686 - -290. Let o = l + 369. Let k = -3 - -3.1. Sort o, 0, k in decreasing order.\nAnswer: k, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.6, -2\/3, -287, 2\/21 in descending order.\nAnswer: 2\/21, -2\/3, -1.6, -4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (660\/(-16))\/(-11)*5976\/830\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*15\/150)\/(2*(-16)\/(-20))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u - 85*u - 1334 = 102*u - 310*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*z + 20, 2*z + 3*a = 4*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.256 + -9.8. Round v to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 56*k - 317. Let f be y(-20). What is the third biggest value in 68, 1.2, f?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619192 is divided by 33044.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**4 + 6 + 41*w**3 - 21*w**5 - 12*w**2 - 21*w + w**3 + w**2 - w**2 = 0. Calculate w.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1, -555\/11 in descending order.\nAnswer: 1, 1\/6, -555\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.070328 decades?\nAnswer: 0.70328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1678, -1033, 742, 4223, 9986, 18607?\nAnswer: 30662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2 + 13. Factor 0 + 8\/11*z**j - 10\/11*z**4 + 4\/11*z**5 + 0*z - 2\/11*z**2.\nAnswer: 2*z**2*(z - 1)**2*(2*z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 + -155. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 13662.5?\nAnswer: 6831.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 160, 263, 366, 469?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.904741mm in centimeters?\nAnswer: 0.5904741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*v - 266*v + 238*v + 311*v.\nAnswer: 503*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*r**3)*(3 + 2 - 6)*(-1 + 5 - 3).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -67.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 1245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*k - k - 4*k)*(0*k**2 - 3*k**2 + k**2) + 63*k**3 - 4571*k + 4571*k)*((0 - 2 + 3)*(-4*k + 2*k + 4*k) + 2*k - k - 2*k - 2*k + 3*k + 3*k).\nAnswer: 415*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*o = -132, 0 = -g - 5*o + 10 + 23. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*d**3 + 34*d**2 + 3*d**3 + 33*d**2 - 67*d**2 - 287 + 93*d wrt d?\nAnswer: -9*d**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10222 + -13000231323?\nAnswer: -13000221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 11:28 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrag. Give prob of picking 1 g, 1 a, and 1 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 2*b - b, -4*b = 2*m - 68. Let u = b - 13. Suppose -c + 2 = -1. Solve -u*o - o = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(3)*-2)\/((3*sqrt(2) - sqrt(2))*-1).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -40. Calculate the greatest common divisor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k + 62. What is y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 18. Suppose z + 1 = n. Calculate the remainder when 20 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a87 (base 13) to base 6\nAnswer: -102504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**2 - 47*d + 4. Let c be y(4). Let p(z) = 8*z + 330. Let n be p(c). Solve 0 = -8*s + 13*s - n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 + -0.08. Let j = 35 + -38. Which is the biggest value? (a) 4 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, 19, 89, 177, 289, 431, 609?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**7\/6300 - 23*b**6\/3600 + b**5\/50 - b**4 + 82*b. Let j(g) be the third derivative of h(g). Find f, given that j(f) = 0.\nAnswer: -12, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56296 (base 11) to base 16\nAnswer: -13e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*f + 319*f + 2250 = 0. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 688356, 688373, 688390, 688407, 688424, 688441?\n\"Answer: 17*b + 688339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 + 3 = 0. Find the third derivative of 2*g**2 + 3*g**6 + p*g**6 + g**2 - 4*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2544659729.319999803 - 2544659953.32. Let z = -224 - r. What is z rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/13)*x**(-2\/13)*x)\/(x**(-4\/9)\/x**(-6)))**(-19) assuming x is positive.\nAnswer: x**(8588\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*l - 2 = 9*n, 0 = -5*n + l - 32. Let g(p) = -19*p + 138. What is the units digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*z - 9*z + z)*((z - 2*z + 2*z)*(-1 - 1 - 1) + 3 - 3 - 2*z) + 5*z**2 + z**2 + 9*z**2)*(4*z - 2*z - 3*z).\nAnswer: -90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3596*v - 3373*v - 1784 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.4. Let w be 3*4\/(-6)*-3. Let n be (-7)\/w - (-1)\/2. Put 0, n, r in ascending order.\nAnswer: n, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-10))\/((-3)\/(-2)). Let m be b + 3 + 8 - 4. Solve -m = -3*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5935 is divided by (32\/(-112))\/(((-9)\/3)\/147).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 - 3632189*q**4 + 3298204681210*q**3 - 9894592250506*q**2 + 9894584986133*q - 3298193784649 = 0. What is q?\nAnswer: 1, 1816093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14328951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from gubuueeueubb.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 = -55*w + 2401 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - 53b?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*f**3*k + 272*f**3 + f**2*k - f**2 - 19*f*k + 52 wrt f.\nAnswer: -630*k + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -691?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -650, -649?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -3*a - 1307. What is the remainder when (-6)\/9*a\/6 is divided by (12 - 2)*(7 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0462 and 2197?\nAnswer: -101.5014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -5 + 16 + -2 + (-228)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*z - 1041 - 3423 = -85*z + 79*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1 - 8) + 2) - (4352 - 4306).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*g - 12*g - 550, 20 = -4*g. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 50.04102 micrograms?\nAnswer: 0.05004102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 1800, 2631, 3372, 3993?\nAnswer: 4464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.12559 decades in millennia?\nAnswer: 0.6012559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856192, 1712380, 2568568?\nAnswer: 3424756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -2 (d) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/10 + (-8106)\/(-4). Suppose -3389 = -5*j - 2*x, -j - y = -4*j + 3*x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 9*r - 6. Let g be j(-7). Let a = 1 - g. Let c = a - -16. What is the lowest common multiple of 8 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 71824442*i**4 + 859791768710040*i**3 + 3430781812317139333600*i**2 + 3430780952525442448000*i.\nAnswer: 2*i*(i + 1)*(i + 11970740)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155, 607, 1361, 2417, 3775, 5435, 7397?\n\"Answer: 151*t**2 - t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327 + 326. Let f = 0.06 + 2.94. Let i = 3.5 - f. Which is the nearest to m? (a) -3 (b) 3\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u - 151 = -13. Put u, 8, 2, -35 in decreasing order.\nAnswer: 8, 2, u, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 34*n + 33. Determine k(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.063 times 88050?\nAnswer: -709947.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4018320, 4018499, 4018692, 4018905, 4019144?\nAnswer: 4019415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f**(-1\/3)*f))\/f)\/f**(-1))\/(((f\/(f*f\/(((f**0*f)\/f)\/f)*f*f))\/f)\/f**(2\/7)))**2 assuming f is positive.\nAnswer: f**(278\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/360 - j**5\/40 - j**4\/8 - 7*j**2. Let y(x) be the second derivative of i(x). What is y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -30. Suppose 0 = -3*n - 0*h + o*h - 106, -5*h = -2*n - 80. What is the remainder when 78 is divided by 20\/(-150) + (-814)\/n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379393, 379389, 379385, 379381?\nAnswer: 379377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422069658, -844139318, -1266208978, -1688278638, -2110348298?\nAnswer: -2532417958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 46333 - 308*d - 46333 + 112*d. Let n(q) = 4*q. Calculate g(n(h)).\nAnswer: -784*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -77*k**3 - 61679*k**2 - 1603*k - 804. What is l(-801)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100000101 + 110001?\nAnswer: -10110011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8532187 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 443.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 23 + -2 - (-125 - -71 - -45)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -225*i**6\/2 - i**5\/5 + 1748*i**3\/3 + 530. What is the third derivative of c(q) wrt q?\nAnswer: -40500*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*6)**2 + sqrt(500) + sqrt(500) + 3.\nAnswer: 20*sqrt(5) + 18003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629430, 629428, 629426, 629424?\n\"Answer: -2*x + 629432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 921*t - t**3 + 463*t + 460*t - 3*t**3.\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let l(b) = 40024*b. What is z(l(g))?\nAnswer: -1601920576*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0 - 1\/6*l**3 - 1\/3*l**2 - 12*l - 1\/36*l**4. Factor b(g).\nAnswer: -(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.038 - 5.038. Sort c, 4\/7, 2, -0.2.\nAnswer: c, -0.2, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76311 plus -0.21?\nAnswer: 76310.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-10))\/((-3)\/(-50)). Let s = k + -29. List the prime factors of -1 + 2 + s + -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -250*v**3 + v**2\/2 + 8*v - 4. Let a be o(-8). What is a rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 31.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3157.94332 + 3158. What is u rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/63 - (17\/(-3) - -3). Solve -n + a*g = -12, 7*n - 2*n + 5*g + 40 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - t + 12, 4*t + 6 = -4*c + 6*c. Does 25 divide ((-42)\/(-12))\/(c\/150)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4804893.19 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4398650 rounded to the nearest 10000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 267 = 153. Suppose -2*c = -2*h - o, h - 198 = -5*c - 0*h. Suppose -2*b + c = 2*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 5. Let a be y(-9). Let v = a + -15. Calculate the highest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579899 less than -20?\nAnswer: -579919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2049, 2048, 2047, 2046?\nAnswer: 2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 60*c - 815. Calculate i(19).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(13) - (-2*sqrt(130))\/sqrt(10)) + 3).\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/60 - z**4\/4 + 3*z**3\/2 + z**2. Calculate the remainder when (1 - (-4)\/(-6))*9 is divided by o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 95\/7, 1\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from jjhssqhgsjvhjvjvv.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.009245 - 0.1.\nAnswer: -2.109245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7*d = -2*f + 8*d + 6, 0 = 33*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -224707, -224680, -224635, -224566, -224467, -224332, -224155, -223930?\n\"Answer: p**3 + 3*p**2 + 11*p - 224722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5444 - 2704. Let j = 2735.218 - v. What is j rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.03 + -0.03. Let t = 1.5 - q. Which is the second biggest value? (a) t (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10329, 10330, 10331?\nAnswer: 10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -37 (b) 2\/15 (c) 7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*g - 12 = 0, -3*o + 3*g = -4*o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18*6\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -16*g - 9. Is g smaller than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i**3 + 0*i)*((-8 + 2*i + 8)*(1 - 5 + 6) + (-2 - 2 + 2)*(-16*i - 3*i - 11*i)) to p*i**2 + a*i + r*i**3 + m*i**4 + n and give m.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 18482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h. Let s(i) = 2*i**2 - 4. Let a(p) = -3*p**2 + 7. Let k(c) = 4*a(c) + 7*s(c). What is q(k(j))?\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Let d(x) = -x**3 + x**2 + 12*x + 6. Let s be d(4). Is p greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 3*m + 1. Let p be g(3). Let y = 54\/149 - 80\/1043. Which is the nearest to p? (a) -2\/11 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3*f**3 + 67. Let z(p) = 16*p**2. Calculate z(t(w)).\nAnswer: 1296*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -1282\nAnswer: 7\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -4719.06.\nAnswer: -4737.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63491 - 9)*((-9)\/(-27))\/((-2)\/(-24)). Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 184 = 4*r, r = -3*r + 5*h - 185. Let s = 104 + r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -76\/16751 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*7\/(-14)*(-125)\/10.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96142 - 9*u**2 - 96141 + 192283.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313225 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433683 not equal to 4301048\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/14 + 4\/(-16). Suppose 3*f = 3*c - 9 - 18, 2*c + 5*f = -17. What is the closest to -2\/5 in n, -18, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 299 = -1631. Let i(l) = 1 - 3*l**2 - 438*l + 2*l**2 + r*l + 219*l + 0*l**2. Let v be (-54)\/(-10) + 6\/(-15). What is i(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -510\nAnswer: -7\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(36) + 2 + 0)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 4 in increasing order.\nAnswer: -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2 - 24010*a - 208335.\nAnswer: 5*(a - 969)*(5*a + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -49*u**3 - 5*u**2 - 3*u + 1. Let m(r) = -2*r**2 - r. Give -h(s) + 3*m(s).\nAnswer: 49*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 10, 4*m = -16*f + 12*f + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -4. Let i(v) = -9*v**3 - 20*v**2 - 4*v + 9. Let b(a) = -9*a**3 - 25*a**2 - 5*a + 11. Let z(h) = -4*b(h) + 5*i(h). Calculate z(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 592 = -r - 4*j, -j = 2*r - 612. What is the tens digit of ((-78)\/(-24) - 1)*r\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 3, h: 3, w: 5}. Give prob of sequence bh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 665 + 3*y**3 + 200 - 291*y**4 - 36*y**4 + 76*y**4 - 2*y**3 with respect to y.\nAnswer: -1004*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/3)*k\/(k**(1\/7)\/k*k*k)*k)\/(k**(-3\/10)*k\/k**(-1)))\/(((k*k**(-1)\/k*k)\/k)\/k**(-8))**(-25) assuming k is positive.\nAnswer: k**(36433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let x(w) = w**3 - 1. Let q be 4*-1*(-3)\/6. Suppose -4 = -q*a, y = a - 6*a + 14. Calculate y*h(s) + 4*x(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 21*g + 3. Let q be k(15). What is the greatest common factor of q and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 23034?\nAnswer: 23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*o + 10*o - 21*o to the form c*o + v and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1570357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 41*x**2 + 2*x - 1. What is the remainder when l(1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from usuuhushusshhh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/4 + -4 + -3. Suppose 0 = 6*u - 3*u - 2*g - 46, c = -3*u + 3*g + 45. Calculate the greatest common divisor of 112 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 2. Let x be b(13). Find the common denominator of -5 and x\/3*(-46)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300 + -3608\nAnswer: -3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2172)\/8)\/(25\/(-550)).\nAnswer: 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x + 3. Let c be u(0). Let o = c - -7. Calculate the remainder when 59 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:53 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 10. Suppose 0 = 4*b + b + 4*h - 55, -29 = -2*b - 3*h. What is l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14073 and 96567.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5145236 and 2230389?\nAnswer: 972449604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/60 and 51\/868?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 174*j**3 + j**2 + 14*j - 32. Is y(2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*m**2 + 1\/4*m**3 + 1\/2*m + 0.\nAnswer: m*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136149504 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*k - 14, -2*h + 25 = 3*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Let h be -74 + ((-161)\/46)\/((-2)\/4). Which is the second smallest value? (a) h (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492109546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 144*f**5 - 710*f**3 + 710*f**3 + (4*f**4 - 3*f**4 + f**4)*(f + 2 - 2) + 6*f**5 - 3*f**5 - 4*f**5.\nAnswer: -143*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 65, 113, 195, 323, 509, 765?\n\"Answer: 2*c**3 - c**2 + 15*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -774*b + 1542. Give h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 26*c**2 + 10*c - 6. Let v = -28 + 33. Let k be n(v). Let a = k - 483. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 20 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 7*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0.2, -8, -5\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 497333 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: Calculate the remainder when 69092 is divided by 6901.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Let k(p) = -p**3 - 6*p**2 + 4*p - 2. Let s be k(-8). Let m(b) = -94 + 4*b + s. Calculate m(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*u + 26. Let g(p) = p**2 - 12 - 10*p**2 + 2*p**u - 2*p - p**3 + 3. Give g(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - 3. Is 8 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1224929 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f + 104*f - 116*f + 125*f to the form o + x*f and give x.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 t when three letters picked without replacement from etfttte?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 473.4674t in nanograms?\nAnswer: 473467400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g - 77040000 = -57*g. What is g rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 462824, -0.1, 37 in decreasing order.\nAnswer: 462824, 37, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 3, a: 1}. Give prob of sequence ra.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2*h + 4. Let z(p) = -95*p**2 - 27 + 46*p**2 + 46*p**2 + 44 - 9*p. What is 9*q(f) - 2*z(f)?\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1973)\/1320 - (-170)\/4675 and 137\/1980.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 61. What is the fourth smallest value in k, 0.1, -0.2, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-8)\/(-12))\/((-4)\/12). List the prime factors of (-18)\/99 - (796\/(-22) - r).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m. Let j(d) = -4*d + 22. Give j(g(v)).\nAnswer: 12*v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -34, 4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50c + -3?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 12. Let k be -2*(24\/(-8))\/((-3)\/(-5)). Let u be m(k). Solve -u*d + 4 = 2*r, 0*d - 2 = -5*r + 3*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s + 18. Let p be g(-1). Solve p*b = 4*y - 4, 3*y + 6 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 333*o - 14. Let p be d(1). Let k = -289 + p. What is the greatest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*r + 1306*r + 7293*r.\nAnswer: 7576*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.96 - -2. Let l = -1131 + 1135. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 - 19 = 0. Let k = o - -8. Suppose -v + 5 = -k*t, v - t = 5*v - 20. Is 6 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2915701 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 300. Suppose -23*d = -3*d - h. Let p(l) = 5*l - 1. Let r(g) = 1 + 24*g - 5 + 0. Determine d*r(n) - 14*p(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*y = -99*y - 2754. Solve 7*i - 109 = -y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36300*c**4 + 3940*c**3 - 22*c**2 + 1727451*c - 1.\nAnswer: 871200*c + 23640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 7*d. Suppose 0 = 4*v - 0*v + d*u - 1610, -u - 800 = -2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3482454259?\nAnswer: 3482454259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*14 + 11\/((-110)\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/260 and -31\/45.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2264262 divided by 406?\nAnswer: -5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*b*g*i - 1273*b*g - 73*b*j + 2*g*i*j + 2*g*i + 11*g*j - 1744*g - 7*i + 2*j wrt b?\nAnswer: -9*g*i - 1273*g - 73*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 2*c + 2*c - 5*c - 10.\nAnswer: -c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320972190 to the power of 1\/2, to the nearest integer?\nAnswer: 17916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 - 258. Let q be ((-1)\/3)\/((-1)\/(-2)). Which is the second smallest value? (a) 0 (b) 0.6 (c) q (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 12 + 2. Suppose -5*f - 3 = -38. Let o = b + f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2733467, 10933993, 24601535, 43736093, 68337667?\nAnswer: 98406257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 8 = 4. Suppose -2*c - 4*o + 4 - 12 = 0, 2*c = -b*o. Let v be (-2)\/(1 - (-1)\/(-3)). Is v <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 45. Let x be q(-6). Suppose 15 = -5*i - 0*i. Sort i, x, 5 in ascending order.\nAnswer: i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033107704.\nAnswer: 2, 199, 648937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208640101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/56)\/(-2 + 3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314243 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2747\/340752 - -1\/1488. Let t = a + 217\/1374. Suppose 1\/6*c + 0*c**2 + 0*c**4 + 0 + t*c**5 - 1\/3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.0248703 to two decimal places.\nAnswer: 13.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 207.6. Which is the fourth biggest value? (a) -2 (b) 4 (c) q (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 780 - 782. Put 0.02, 0.4, u, -0.08 in decreasing order.\nAnswer: 0.4, 0.02, -0.08, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 - -170. Find the second derivative of -21 + 2*j + 43*j**4 - z*j**4 - 4*j - 7 wrt j.\nAnswer: 492*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 188376229*c**2 + 3*c + 1130836106?\nAnswer: 376752458*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = -5*l + 653. Suppose -l = -5*n - 2*n. Let w(k) = k**3 - 12*k**2 + 14*k + 10. What are the prime factors of w(n)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/3))**(-1\/2)\/(f*f\/(f*f\/(f\/f**(-6\/19)*f))*f**(-27)\/f) assuming f is positive.\nAnswer: f**(1597\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 3, b: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 1. Let r be (-2)\/(4\/(-6)) + 9*1. Let f be (9\/r)\/((-15)\/(-20)). Determine c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000704308 rounded to 7 dps?\nAnswer: -0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-21))\/(1*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -1, -2\/39, -3 in descending order.\nAnswer: 5, -2\/39, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 4*r**2 - 2*r**2 + (-34*r + 34*r + 11*r**2)*(2 + 2 - 5).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, -3, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 13) to base 6.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3 and -74\/153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*n - 20829 = 28906. Does 87 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -42, -5, -18 in descending order.\nAnswer: 4, 2, -5, -18, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2)*h)**(24\/7))**31\/(h**7\/(h\/(h\/(h*(h\/(h\/(h*h*h*h**(-3\/2))))\/h)))*(h\/h**7)\/h**3) assuming h is positive.\nAnswer: h**(-695\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20224 - -20224.1. Sort -4, -56, 8, u in descending order.\nAnswer: 8, u, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 6*a + 4. Let t be h(2). Suppose -o - 1 + 3 = t. Is 2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 19088?\nAnswer: 19088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**3 + 18*d**3 - 78*d**3 + 20*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -11 + 0 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilometer in meters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -734? (a) -0.9 (b) 1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:31 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w. Let x(q) be the third derivative of 5*q**4\/8 - 20*q**2. Determine x(z(l)).\nAnswer: 75*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 11. Let k be 4\/(-28) - (-86)\/j. Sort -6, 0, k, 4 in descending order.\nAnswer: k, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35284 - -35282.80005. Let d = f - -1.2. Round d to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1618 = 398. Let m = 504 - w. Which is the biggest value? (a) m (b) -0.4 (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 + y - 8. Let z = -168 + 175. Give h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p + g, 7 = -5*p + 2*g + 42. Find the common denominator of (-124)\/(-36)*(7\/3)\/p and -77\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -65, -57, -31, 19?\n\"Answer: n**3 - 11*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from 724717572.25.\nAnswer: 724717551.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1778 - 1553. Calculate the remainder when x is divided by 214.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) -2 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2. Let l(m) = -226*m - 5. Let t(n) = 4*n + 1. Let u(s) = l(s) + 5*t(s). Determine r(u(a)).\nAnswer: -169744*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2) - 15\/240*-8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 2190.3430964?\nAnswer: -2190.6430964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 2\/4263 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/93501 and 73\/189.\nAnswer: 654507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 37 + (71 - (140 - 22)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 448?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 68038 divided by -21\nAnswer: -68038\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 4*t + 6 + 28 = 0, 6*t + 26 = 5*k + 3*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 142. Suppose -31 - j = -8*y. What is the second derivative of -2*l**4 - y*l**4 - 5*l**4 - 9*l**4 + 23*l wrt l?\nAnswer: -288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvvghvggvvvvjkggk. What is prob of sequence jvk?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:38 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, l: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*a + 13, 2*a - 11 - 7 = 4*s. Let b be s\/(-22) - (-168)\/(-77). Sort 0, b, 3 in descending order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -145, -134, -123?\n\"Answer: 11*p - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105296 by 13162.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972584 is divided by 5163.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 18*l**2 - 15*l + 916. Suppose -5*y + 0*y - a + 475 = 0, -3*y - a + 285 = 0. What is the remainder when y is divided by z(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 8*d + 8 + 3 wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 185148 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75.6068 + -210.59752. Let q = -135 - x. What is q rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-12))\/(3\/(-36)). Suppose -w + n = -0. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -3\/2, -0.046, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-22)\/(i*i\/i**16)*(i*i**(-10))**25 assuming i is positive.\nAnswer: i**(-233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51\/38 + -16\/19. Which is the second biggest value? (a) 0.01 (b) 1.31 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032670 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -374153917.59999415 + 374153663.6. Let n = 336 + -82. Let c = n + y. Round c to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 2. Suppose -4*m - 76 = 3*o, 2*m + 17*o = 19*o - 24. Let f(j) = -6*j**2 + 10*j + 6. Determine m*z(t) - 5*f(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 25. Let y(x) = -3*x + 12. Let j(f) = -4*w(f) + 9*y(f). Differentiate j(l) with respect to l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*h = -70, l + 5*h = -39 - 11. Let q = -24 - 9. Does l = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*u - 26, -5*u = -3*b - b - 13. Let x = -5 + 23. Calculate the remainder when x is divided by ((-5)\/(-3))\/(b\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Suppose s = n - 14. Let y = n - 8. Solve -y*q = -q + r + 19, 5*q + 25 = 5*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 22. Suppose 15 = 3*v - a*v. Put -2, 4, v in increasing order.\nAnswer: -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -14 - -4 - (-33 - (25 - (-30 + 21)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -10\/4799879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-7)\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**3 + p. Let o be j(1). Let l = 20 - 2. Suppose 3*g - 2*x - 16 - 10 = 0, -2*g + x = -l. What is the highest common divisor of g and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/10*(40\/(-16) + 5). Let j(v) = -v**3 + 9*v**2 - 15*v + 12. What is the remainder when j(n) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h + 63. Let u be l(-8). What are the prime factors of 1012 + (-3 - -1) - (-5 - u)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*d - 67312 = 0, -d = 11*x - 6*x - 168253. What are the prime factors of x?\nAnswer: 3, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/21 + 25527\/1710. Let a = q - 66\/5. Let c = -22595\/8 - -2814. Calculate the common denominator of c and a.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:29 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 - n - 2. What is y(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let u = -1 + 1. Suppose -m + u*m = 4. Calculate y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/7 or -3\/2?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 71*v - 897. Calculate p(34).\nAnswer: 1517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 3*h - 14. Let t be k(-6). Solve 2*q - 8 = v, -13 - 1 = q + t*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5289, -5287, -5285?\nAnswer: -5283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4674)\/4100)\/((-48)\/2400)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/17 - 48*j**2\/17 + 90*j\/17 - 44\/17 = 0. Calculate j.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/6 + x. Let a = 12 - 8. Let t(z) = -1. Let f(y) = 3*y**2 - 4. Let n(k) = a*t(k) - f(k). Give n(o(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -55*r**2 + 23*r - 4. Let k be t(3). Let o = k - -598. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1183, -1392, -1739, -2224, -2847, -3608, -4507?\nAnswer: -5544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-4) - 1\/2. Let i(s) = s**2 - 2*s + 2. Let d(k) be the second derivative of k**4\/3 - 7*k**3\/6 + 7*k**2\/2 + 26*k + 1. Determine r*d(q) - 21*i(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416435593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 103127613.\nAnswer: 103127613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 27858.\nAnswer: 139290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bbb9d (base 14) in base 2?\nAnswer: -10000000110001110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9713 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536594 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven quarters of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**5\/15 + 4*w**3 - 11*w**2 + 114. Let f(c) be the second derivative of t(c). What is the first derivative of f(l) wrt l?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5*(sqrt(13) + 2) - (sqrt(156) - -1*sqrt(156))\/sqrt(12) - (6*(sqrt(1872) - (2 + sqrt(1872)) - sqrt(1872)) + -2)) + 3))**2.\nAnswer: 64800*sqrt(13) + 1181664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 - (12 + -3 + -10 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1964 + 2086.3. Let t = -113.57 + c. What is t rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88986738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682005417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.043762 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**5 + n**5 + 0*n**5 + 2*n**5 - 3*n**5 + 3*n**5 + (-n**2 - n**2 + 3*n**2)*(0*n**3 - 7*n**3 + 3*n**3).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/((t*t\/((t*((t**(-11\/3)*t)\/t*t)\/t)\/t))\/t))\/t)\/t*t*t**(-19)*t*(t**(4\/3))**(-1\/6))**(-49) assuming t is positive.\nAnswer: t**(9212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8958 divided by -6.\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.023466\nAnswer: -0.0023466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -4*n + 24, -5*n = 20. Let j be (r\/12)\/(2\/15). Which is bigger: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*u - 298*u + 20556000 = 0. What is u rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 170, 398, 706, 1094, 1562?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 270, 239, 188, 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00313733531 rounded to 5 decimal places?\nAnswer: -0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o**2 + o - 1. Let a(g) = 2*g**3 - 2*g**2 - 5*g + 5. What is -a(m) - 5*t(m)?\nAnswer: 3*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 1)*(2 - 4 + 5) - 2 + 0 + 0)*(0*h**4 - h**4 + 3*h**4) + 7*h**4 + 106 - 217 + 114 to the form n*h**3 + l*h + o + u*h**4 + i*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**5 + 2. Let y(u) = 12*u**5 + 77*u - 4. Let c(b) = -2*m(b) - y(b). What is the second derivative of c(j) wrt j?\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -18. Suppose -y + l = 3*d - 4*d, 5*y - 47 = 2*d. What is the units digit of (-228)\/d - (-1)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Differentiate -k*z + 4*z + 0*z - 2 with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18884, 18883, 18882, 18881, 18880, 18879?\n\"Answer: -w + 18885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 + 21*v**3 + 69*v**2 + 71*v + 24 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-75)*-1*3. What is the nearest to 2 in j, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24)*-4)\/((-2)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufhffhuuufff. What is prob of sequence fhuf?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(1 + sqrt(2736)) + (5*(sqrt(209) - (1*sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209))))\/(2*sqrt(1331) + sqrt(11) - sqrt(11)) + -1.\nAnswer: 1335*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47, -33, -9\/7, 80\/13?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -31. Let n = 233\/42 + -35\/6. Suppose 3*i - 2*i + 5 = 0. What is the smallest value in i, g, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68861591*t - 156643143 wrt t?\nAnswer: -68861591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113 + -3 + -2)\/((-44)\/10*2800\/(-6160))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 323?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5658, 5392, 4948, 4326, 3526, 2548, 1392?\n\"Answer: -89*r**2 + r + 5746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {x: 3, f: 3, r: 3, a: 10, g: 1}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4897 = 5*p, 2947 = 3*p - 7*f + 8*f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8) + -1)*-2. Let r(m) = -39*m + 3. Let l be r(d). What are the prime factors of -3 - 0 - 0 - l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2493 - 2498. Sort r, 2\/5, -2, 2.\nAnswer: r, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 973*g + 1927. Let s(v) = -1027*v - 1928. Let k(r) = -6*s(r) - 7*w(r). Find the first derivative of k(o) wrt o.\nAnswer: -649","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4186)\/(-240))\/(-7) + 2. Let r = -13\/15 - u. Let h = -12 + 8. Sort -3, r, h in ascending order.\nAnswer: h, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714057 to the power of 1\/2, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = -18421 + 18121 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84.6 + 65. Let r = -19.9 - k. Sort -0.1, r, -20 in decreasing order.\nAnswer: -0.1, r, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/10 (c) 3\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3173 + 3253. What is the lowest common multiple of 780 and q?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245.4 + -222. Let q = j - 23. Which is the third biggest value? (a) -3 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)\/(5\/(-15)). Let u(n) = -7. Let t(k) = k - 8. Let w(c) = -3*t(c) + 4*u(c). Let z be w(-1). Sort f, z, -8, 0 in decreasing order.\nAnswer: f, 0, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*k + 2*b - 13, k + 9*b = 5*b - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0572 * -2.5\nAnswer: -0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttuuttt?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899011?\nAnswer: 3, 966337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 92 = 158. Suppose 67*k - 65*k - 4 = 0. Suppose -211 - 268 = -k*n - 5*x, 0 = 4*n - 5*x - 1003. What is the remainder when n is divided by y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*n - 3*v, -3*v + 11911 = -n + 11929 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130226 + -34?\nAnswer: 130162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11255\/54024)\/((-1)\/6))\/((-10)\/(-208))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 48*r**2 + 34*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 3)*-1*-2 + sqrt(312)\/(sqrt(1200)\/sqrt(8)).\nAnswer: 6 + 22*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260.8 - -256. Which is the smallest value? (a) t (b) 0.27 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660578 divided by -5?\nAnswer: 660578\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iik when three letters picked without replacement from {i: 1, l: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9539*v**3 + 3*v + 7845?\nAnswer: 57234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 13. Let g be o(-6). Which is greater: g or -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1022831*o**3 + 1732568*o**2 wrt o.\nAnswer: -6136986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27 - 496\/(-36). Suppose 0 = -3*s + 2*u - 9, u - 6*u + r = s. Is 3*s + -6 + 17 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-720)*-15*(-18)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312432424 + -1?\nAnswer: -312432430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 3, w: 1, u: 9}. Give prob of picking 1 r and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1 - 25?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 + 5. Let h be y(10). Sort 2, -7, h in decreasing order.\nAnswer: h, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202 (base 3) in base 7?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h + 0*h)*(3*h**3 - 6*h**3 + h**3) + 458*h**5 - 15*h**5 + 846*h**5.\nAnswer: 1291*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(0*i - i + 3*i)*(-1 - 1 + 4).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 93.5. Sort -0.04, y, -1 in descending order.\nAnswer: y, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**3*(r\/r**(3\/5))\/r*r)\/(r**0)**(-1\/23))**14 assuming r is positive.\nAnswer: r**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4. Let h(j) = -j - 1. Let y(i) = b(i) + 4*h(i). Let r(q) = 3*q. Determine r(y(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 8*j**2 - 11*j**2 + 3*j**4)*(-1 + 8 - 3)*(3 - 2 - 3).\nAnswer: -24*j**4 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffcchffhcffff. What is prob of sequence fcch?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.3, 44, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)*z*(z\/(z\/z**(-3\/4)*z))\/z*z)\/(z**(-2\/5))**(2\/29))\/(((z\/z**(1\/2))\/z*z**(-5))\/(z**(-1\/7)\/(z*z\/(z**(-2\/7)\/z)*z))) assuming z is positive.\nAnswer: z**(-207\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40885 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -54*g**7\/7 + 15*g**6\/2 + 68*g**5\/5 - 221*g**4\/12 + 26*g**3\/3 - 2*g**2 + g + 32. Let v(s) = 0. Calculate s.\nAnswer: -1, 2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 2 - 9*j**2 - 19*j**2 - 9*j**2 - 4 + 66*j**2.\nAnswer: 13*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/9, -35\/4, 0?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, g: 2, z: 1, h: 3, q: 4}. What is prob of picking 3 q and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -11*o - 51*z - 72 - 5, 648*o - z = 647*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1 (c) 1\/5 (d) 0.265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5188\/3 - -1730. Put 2\/17, -18, c, 1 in decreasing order.\nAnswer: 1, c, 2\/17, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from aswa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18319538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4635\/4 - 13901\/12. Put 0.2, a, 0.07, -21, -1\/5 in increasing order.\nAnswer: -21, -1\/5, 0.07, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 1, y: 3, t: 2, z: 1, k: 1, n: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.0217023 rounded to 3 dps?\nAnswer: -14.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3217 - 547. What is the third derivative of 0 + 0 + 2419*m**3 + 309*m**2 - i*m**3 wrt m?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -765 - -581. Sort 4, -5, j, -4, 0.\nAnswer: j, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 8*n - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmz when three letters picked without replacement from {k: 6, m: 3, c: 8, z: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 57. Let m be y(10). Let q(u) = 327*u - 79. Is q(m) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157255 = -35*o - 49455. List the prime factors of o.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*g**2*u**2 + 7*b**3*g**2 + 25*b**2*g**2 - b*g**2*u**2 + g*u**2 wrt b?\nAnswer: 18*g**2*u**2 + 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 11*u**4\/6 - 15*u**3 + 53*u**2\/2 - 46*u\/3 + 2 = 0.\nAnswer: 2\/11, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 69. What is the third derivative of -4798*w**d - 53*w**2 + 4782*w**4 - 1 + 1 wrt w?\nAnswer: -384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**12\/n)))\/(n*n*n**(3\/8)*n))**(-43) assuming n is positive.\nAnswer: n**(-2279\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1015130 (base 7) to base 11.\nAnswer: -8359a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, l: 6, p: 4, t: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 2*a + 3. Let u be v(-3). Suppose u*j - 4*j = -16. Suppose j*g - c - 218 = 0, -g - c = -0*c - 57. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j - 1. Let m(x) = -53*x. Let o(c) = 2*a(c) + m(c). What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 32*c = 539 + 859, 434*h + 184 = 430*h - 4*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (11 - -1) - 4. Suppose -4*s - g = -2*f - 2*f, f - 19 = -5*s. Suppose s*a = a + 18. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115\/24 in -4, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30292367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 97047.339 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1324*i**3*z - 2*i**3 + 8*i**2*z + 150*i**2 + 106509*i*z - z + 76 wrt i?\nAnswer: 7944*i*z - 12*i + 16*z + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077162 take away -1003?\nAnswer: 1002.922838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - l = -7, 4*x + 1852*l = 1843*l - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113001 (base 5) in base 2?\nAnswer: 1000000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -2*g, 5*t - g = -6*g + 15. Which is smaller: t or 1\/641?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 988*a**2*o*x + 1249*a**2*s*x + 2*a*o - 19*o*s*x + 40740*s*x + 2*s wrt a?\nAnswer: 1976*a*o*x + 2498*a*s*x + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:47 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**5 + 7*p**4 - 7*p**3 - p + 7. Let s(b) = b**5 - b**4 + b**3 - b - 1. Let w(v) = 3*k(v) + 21*s(v). Find the second derivative of w(z) wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 4, k: 2}. Give prob of picking 2 t and 1 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -27. Let f be (-32)\/(-10) + (-2)\/10. Let w be 2\/(-3 + (-13)\/(-5)). Sort w, f, s.\nAnswer: w, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z + 5*m - 29, -3*z = -3*m - 9. Solve -z*u - 6 = -10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/6970329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -281, -529, -767, -989, -1189, -1361, -1499?\n\"Answer: y**3 - y**2 - 252*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69625279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + x + 1 + 6 = 0, -17 = -5*z + 3*x. Let c be 0\/(0 - (z - 2)). What is the tens digit of 54 + (3 - (-3)\/(-9)*c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**3 - 100*h**2 + 23*h - 202. Give j(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365543879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 26.5. Let w = q + -1. Let t = 5 - 2. Which is the second smallest value? (a) 0 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 4*f - 4 + 4 to q + u*f and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1804 = -13*c + 20719. Calculate the greatest common factor of c and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88501, 89433, 90367, 91303, 92241, 93181?\n\"Answer: i**2 + 929*i + 87571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g. Let q be (-20)\/(-6)*18\/15. Suppose 2 = -3*v - q. What are the prime factors of i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/535 in -2\/11, -0.2, 4, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Which is the smallest value? (a) i (b) -0.2 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:59 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 200 + 214. Suppose -3*v - 62 = -26. Let n = s + v. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/15*1\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = -9*w + 21199. Calculate the highest common divisor of w and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -5*f**4\/8 - 131*f**2. Let g(b) = 31*b. Give i(g(s)).\nAnswer: -465*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 98352. Let k = -1 - -3. Suppose k*h + 5*f = 40015, 4*h = 3*f + 55403 + t. What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**(1\/40))**(-2\/47) assuming o is positive.\nAnswer: o**(-1\/3290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 4:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddju when four letters picked without replacement from {u: 3, v: 1, d: 4, p: 4, j: 2, o: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5218?\nAnswer: 2, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 279.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Let m(d) = 18668915*d + 38619. Let v(l) = -6769*l - 14. Let b(j) = 2*m(j) + 5517*v(j). Calculate h(b(p)).\nAnswer: -45468049*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110743 or 2338?\nAnswer: 2338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1548814 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -54?\nAnswer: -103\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -3*m**4\/4 - m**3\/3 - 3*m**2 - 176. Let b(w) = 18*w + 3. Calculate -4*b(s) - 6*l(s).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:46 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:10 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1058*k**2 - 115882*k + 322062869 wrt k.\nAnswer: 2116*k - 115882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.3, 5, -6, -2\/5, -4\/137?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/55368 and 151\/12047154.\nAnswer: 144565848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 40*d**3 + 48*d**2 + 40*d - 44.\nAnswer: -4*(d - 1)**2*(d + 1)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 254*q**2 - 18 - 250*q**2 - 20. Is p(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3.44 (b) 4 (c) -1\/17 (d) -4 (e) -128\/7 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let p(b) = 5*b**3 - b**2. Let j be p(1). Let h(n) be the third derivative of -1\/24*n**j + 0*n + 2*n**2 + 0 + 0*n**3. Determine d(h(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 9 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*t - 544*t = 511785. List the prime factors of t.\nAnswer: 5, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dndb when four letters picked without replacement from edbewddnbesdbnbdbds.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 41 (c) 1 (d) 4\/9 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7497441, 7497427, 7497413, 7497399, 7497385?\n\"Answer: -14*c + 7497455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53944.93 decades in centuries?\nAnswer: 5394.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441328291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*599524\nAnswer: 239809.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4346.163nm?\nAnswer: 4.346163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z + 154*z - 101*z - 2*z**3.\nAnswer: -2*z**3 - 38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13376, 26771, 40166, 53561, 66956?\n\"Answer: 13395*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15122082*s**3 + 21974187?\nAnswer: 45366246*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 81*x**2 - 153*x - 75.\nAnswer: -3*(x + 1)**2*(x + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 7*p. Solve p*a - 5*a = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4475.\nAnswer: 2\/4475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 15 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427367198 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:55 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - -2) + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69065473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001165 rounded to six decimal places?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g + 118*g - 42*g + 2566*g**2 - 43*g.\nAnswer: 2566*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 6 = 8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7241*k**2*y - 2925*k**2 - 4*k*y + 72339*k - 11 wrt k?\nAnswer: -14482*y - 5850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 94, 138, 182?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1664 - 1655 - (0 - -2)) + -1 + -48 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60943513 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458066 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: Calculate the remainder when 2771 is divided by 3146\/52 - (26\/12 - 6\/9).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 14404?\nAnswer: 14411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 7*g - 3*g to the form o*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z + z + (z + 0*z + z)*(-2*z + 2*z - z) + 0 + z**2 + 0 + (-3 + 3 - 6)*(-11*z**2 - 11*z**2 + 12*z**2).\nAnswer: 58*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 12*m + 13*s + 16 = -24*m, 2*m + 122 = 4*s for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:44 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*m = 5*m - 3663020, -m = -2*a + 7325996. What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138519685 and 18067785?\nAnswer: 415559055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 3\/10, 16121, -11, 1 in decreasing order.\nAnswer: 16121, 1, 3\/10, -0.2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.46 + -37.46. What is the smallest value in s, -1, -3.64?\nAnswer: -3.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8279 - -8272. Sort 2, 8, 5, i, -3.\nAnswer: i, -3, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 726 + -726. Sort o, 1, -598 in ascending order.\nAnswer: -598, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a millimeter?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1645083*w**2 - 36*w + 59929523.\nAnswer: 3290166*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 30. Let b be t(-14). Suppose l = -b*z + 45, -2*l + 90 = 2*z - 6*z. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x. Determine v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 667 in -590, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(1 + (-38)\/(-8)*-1). Suppose -4*f + 1 = -3, -42 = -4*a - 2*f. Let c be 4\/6*b\/a. What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u - u)*(3*u**2 - 3*u**2 - u**4) - 5 + u**5 + 5 + 2*u**4 + 5*u**5 - 2*u**4 + (3*u**3 - u**3 + 7 - 5)*(-3*u**2 + 8 - 8).\nAnswer: 4*u**5 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364172?\nAnswer: 2, 3, 79, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19713 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 10*v + 27. Let n = -1362 + 1354. Calculate q(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*(y**(-3\/11)\/y)\/y)\/y*y)**50*(y*y\/y**(3\/4)*y)\/((y*y**(-11\/2))\/y))**4 assuming y is positive.\nAnswer: y**(-259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8436\/6552 - (-4)\/6*(-54)\/84 and 61\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137226 is divided by 45728.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3 - (-13 + 4). Solve 3*y + y = o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4\/8 + 477*m**3\/8 + 7089*m**2\/8 + 32499*m\/8 + 11583\/2 = 0 for m.\nAnswer: -143, -9, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 + 3*k**2 - 3*k + 2. Let o be b(1). Let f(c) = -18*c - 8. Calculate the remainder when f(o) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t**4 - 189*t**5 - 83*t**5 + 0*t**4 - t**2 - 402 + 372 wrt t?\nAnswer: -16320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5687\/1616 - -219\/101. Find the common denominator of z and 99\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i - 2. Let d(a) = a. Suppose -2*p - 2 = -0*p. What is p*g(n) + 5*d(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32171, 32133, 32095, 32057, 32019?\nAnswer: 31981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 22*p + 538. List the prime factors of l(-33).\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16564 (base 7) in base 6?\nAnswer: -33554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -155, -120?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5340\/50*(-20)\/(-6). Suppose -t + 5*t = 4*w + k, -w = -5. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 32 = 4*a, -68 + 75 = a. What is the highest common divisor of i and 1962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 29*f = -56*f + 312 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3, -3.12, -0.1?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4464733.\nAnswer: 7, 13, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 680 + -3398\/5. Factor -2\/5*b**5 + 0*b - 2\/5*b**4 + 0 + x*b**2 + 2\/5*b**3.\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 1\/2*r**4 - 1\/5*r**5 + 1\/2*r**2 - 2\/3*r**3 + 1\/30*r**6 + 0 + 3*r. Factor b(u).\nAnswer: (u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/4 and ((-67)\/(-22) - 3)\/(8\/116).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 157 + -239b?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -1\/5 (b) -2 (c) -3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191.641 rounded to zero decimal places?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2372)\/(-8))\/((-1)\/(-2)) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((3 - (7 + -1 - 1)) + 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*6095.577\nAnswer: 1219.1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*r = -3, 3*x - 11 = -2*r - 0*r. Calculate the lowest common multiple of (-1)\/6*2*-18 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o. Suppose -30 = 4*w - 9*w - 5*h, -4*h + 16 = o. Solve 3*t - 1 - w = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 16, 1\/21, -1, -3, 2 in increasing order.\nAnswer: -3, -1, 1\/21, 3\/2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.56 + -0.06. Let i = 16794 - 16797. Which is the third biggest value? (a) u (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137 and 1033117.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 48*t + 289. Let n be w(10). Solve -5*i + 2*o = -18, 3*i - 4*o + 1 = n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 - 7*f + 8. Let b be h(-7). Let j = b + -2. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001737 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 7. What is r(25)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 12) to base 10.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -8474.7.\nAnswer: -4237.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 3. Let g(u) = -u + 1. Let v(h) = -2*g(h) - x(h). Let d = 1 - 0. Suppose -a = -m - 4, -3*a + 7 = -m + d. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -0*w. Let p be 2 - (-3 + (w - 2)). Let u(s) = -s**3 + 2*s**2 - s + 1. Give u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613172.\nAnswer: 2, 3, 31, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -33. Let s be ((-16)\/24)\/(4\/b). Let j be 1520\/4380 + 1\/s. Is j at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294435 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.79 + 6.79. Let h = 32.6 - 33. Which is the nearest to 0.1? (a) -1 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {b: 3, q: 1, z: 1, l: 1, d: 3, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 4, l: 1, f: 3}. What is prob of sequence qfql?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123*h**3*w**4 - 3*h**3*w**2 + 4*h**3 + 102*h**2 wrt w?\nAnswer: 492*h**3*w**3 - 6*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724952063, 724952064, 724952065, 724952066, 724952067?\nAnswer: 724952068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 33*s**2 - 61*s + 16. Calculate l(-31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1245 divide 141823367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 + -183. Let t be (-9)\/(-4)*124\/x. Solve 3 + 0 = t*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-1)*26744*(12 - (-98)\/(-8)).\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 6) + 4 + 15. Calculate the highest common divisor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, 2*r + 0*r - 98 = -4*b. Let n(d) = -b - 7 + 9*d - 2*d + d. What is n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -9, 12, -236.\nAnswer: -236, -9, -4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50 + (-2 - (-5 - -2)). Let v = s + -34. Let x be v - (1 + -1 - -1). Solve x = -a + 4*m, -2*a - a = 4*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3536.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628366 bigger than 11628365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 786\/(-72))*92.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-4 - -1) + 3) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25288*i**4 + 8401*i**2 wrt i?\nAnswer: 606912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 5 - (-23)\/((-23)\/(-202))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-260)*-4 - 11\/20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/3 + 22*h**3\/3 + 31*h**2 + 140*h\/3 + 68\/3 = 0.\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/30 and 14\/49 - 596\/126.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l - 800 - 25. Solve -5*f + 13 - l = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16064 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49\/108420 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.8 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 9. Let h be w(7). Let n = -3 - h. Let z(r) = r**3 + r**2 - r - 1. Let f(t) = 3*t**3 + 5*t**2 - 5*t - 6. Determine n*f(d) + 5*z(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16069 - 95184 = 1227*g - 27817 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.02 + -6. Let z = d - 0.02064. What is z rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.1935571 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = 0. Suppose 4*r - 146 = -5*q, 3*q + 0*q - 5*r - 95 = g. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o + 15*o - 25*o to the form a*o + n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7*y = 3*y - 15, 25 = -5*y. Let w(b) = b**3 + b**2 + 2. Suppose -4*h = 2*d, 3 = -2*d + 3*d + 5*h. Let l be w(d). Sort k, 1, l in increasing order.\nAnswer: k, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4 + 8. Let o = -275 + 278. Solve d = -2*c + 1, -5*c = -d + o*d - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Sort c, -1, 3\/4 in ascending order.\nAnswer: -1, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117512335.\nAnswer: 5, 43, 546569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + r**3 + 2*r**3 - 2*r**3 - 17*r - r to u*r**3 + p*r**2 + s + y*r and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 12*z**2 - 10*z - 17. Is c(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4753106760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x - 74*x - 212 = -14*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733810463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*u + 6 = -2*g, 0 = 2*g + u + 9. Let n be ((-19274)\/(-414) - 47)*(-27)\/66. Which is the closest to 2\/5? (a) n (b) g (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 915208 and 8864.\nAnswer: 3660832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/165 and 101\/14250855.\nAnswer: 156759405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 190770592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 5. Suppose 3*d = -d - 16. Determine s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**2\/2 + 20*f + 13. Give p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l - 83*l + 268*l - 89*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47329 and 0.2.\nAnswer: 47329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -317867*d**4 - 21*d**2 + 2465*d - 1 wrt d?\nAnswer: -7628808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (4 + -2) - 56. Let a be (0 - 1)\/(2\/o). Solve 3*w + 4*u - a = 0, -5*w + 35 = 2*u + 2*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -454 + 17763?\nAnswer: 17308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 639028529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66210001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose s + v*s = 340. Let k = s - 36. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 - 13*y**2 + 10*y - 2. Let w(z) = -5 + 2*z**3 - 25*z**2 + 3*z**3 - 1160*z + 1178*z + 4*z**3. Let k(m) = 11*l(m) - 6*w(m). Give k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.55 - 0.85. Let w = z - 4. Let t = -3394\/3 + 1131. What is the closest to 2\/5 in t, -2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/132 - (-3)\/((-18)\/20). Let p be (6 - (-26)\/i) + (-163721)\/(-18). Let h = p + -9104. Does h = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -3*t + 62. Suppose -4*o + t = 4*a, 38 - 144 = -4*o + a. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**0\/y)))\/y)**(4\/15)\/(y**(-1))**(3\/41)*(y**(1\/8)\/(y*y\/((y*y**(-3))\/y)))\/(y\/(y**(-1\/4)\/y))**(-49) assuming y is positive.\nAnswer: y**(517493\/4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033*t - 156*t = 35357 - 56405 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760155.\nAnswer: 5, 29, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1069\/(-52)*(20\/(-13) + 2). Let l = y - 2\/169. Calculate the common denominator of l and ((-402)\/8)\/(-16 + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-19)*u)\/(u*u**(1\/22)))**(-21\/8) assuming u is positive.\nAnswer: u**(8799\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4765 = 5*f + d, 1899 = 2*f + d - 2*d. List the prime factors of f.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p - 3. Let f = -268 + 279. Let r(o) = 214 + o**2 - 21*o - 7*o**2 - 230. What is f*y(a) - 2*r(a)?\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d + 13. Let n(z) = 4*z - 1. Let f(h) = 3*h + 1. Let c(l) = 2*f(l) - n(l). What is -9*c(k) + 2*p(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 566 + -265. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*d = 1, -41*m - 36*m + 3*d = -72*m - 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 2*x**3 - 6*x**3 + 3*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/12*(-555)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.40029 decades in months?\nAnswer: 1368.0348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/14 - 25\/(-112) and (-50)\/36 + 2\/(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26231 divided by 26231?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/15 + 19*f**4\/3 - 74*f**3\/3 - 233*f**2. Factor l(h).\nAnswer: -4*(h - 37)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from hnhhxnxnhnlvonxxx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) 1.054 (d) -0.1 (e) -4 (f) -37\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -66550 (base 7) to base 5\nAnswer: -1013434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**2 + 865*t - 138. Give j(-51).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -1, 0, -0.8, 49?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 0, -4*z + 2*z + 4*k + 12 = 0. Suppose y - 4*y = -z. Let m(u) = 2876*u**2 - u - 2. Let a be m(y). What is a rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 22*q**2 - 47*q + 32. Let o be h(-24). Let a(i) = i + 2. Let p be a(0). Solve -p*z - o = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28117.39369 to the nearest one hundred.\nAnswer: -28100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Determine u(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1*(-9 - 161\/(-21)). What is the first derivative of -18*c**4 + 30*c**4 + 56 + 0 + 57*c**z wrt c?\nAnswer: 276*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 + 204*a - 3468 = 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtq. What is prob of sequence tq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1224 divide 1731712752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -67*j + 31. Give f(3).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 16\/(-14))*(56 - 0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s)*(12 - 31 - 4)*(-11*s + 23*s - s).\nAnswer: -506*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -35, -57, -97, -161, -255?\n\"Answer: -c**3 - 3*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*c**3*r**3*s**3 - 181*c**3*r**3 + c**2*r**2*s - 8387*c**2*r*s**3 + c*r**3*s**2 - 61*c*s + 9*r**2 wrt s.\nAnswer: -498*c**3*r**3 - 50322*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:08 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7723, 15450, 23177, 30904?\nAnswer: 38631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 7. Let o be f(-8). Let q be 17\/(-4) - o\/12. What is the smallest value in 1, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21)\/(393\/21091)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q. Let l(r) = -4*r**2 + 11*r - 8. Let v(d) = 3*b(d) + l(d). Let i be v(7). Sort i, 5, -2.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = d - 7826. Let u be 4\/(-18) - d\/(-90). Find the third derivative of -3*s**2 + 82*s - u*s - 2*s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 25781*f - 12895*f - 12886*f.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 3*m + 0*m)*(-135*m + 875 - 875) in the form o*m**2 + l*m + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - -190da2?\nAnswer: 190dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 332 + -312. Is d\/(-15)*(-1773)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Let h be g(6). Is (h\/10)\/((-2)\/36) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/18 - 20*p**3\/9 + 504*p. Factor c(o).\nAnswer: 2*o*(o - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 3*p - 2. Let c be y(-3). Suppose q + 5*a = -17 + 8, -5*a - 5 = 5*q. Suppose m - 6 + q = 2*n, 0 = 2*n + m + 11. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8332)\/12498*(-6)\/(-134)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -z, 2*z - 6*g + 2*g = 16. Let n be 169\/39 + (z - 9). What is the closest to 35 in n, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 21 = 5*x, 11 = 4*y - 2*x - 7. Let j(t) = t - y*t + 4*t. What is the units digit of j(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/33 and 1\/141?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 1 + 4 + 2 - 4 + (-4 + 0 + 2)*(-1 + 0 + 0) + 1 + 1 + 0 + 0 + 2 - 4)*(-1254*m**2 + 433*m**2 + 496*m**2 + 2*m**4)*(3 + 0 - 2).\nAnswer: -8*m**4 + 1300*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -198. Let c = 280 - x. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3*r - r + 0*r)*((0 + 0 + 1)*(2*r + 13*r + 0*r) + (-6*r + 0*r + 4*r)*(0 + 2 - 1) - 3*r - 2*r + 4*r).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, -647, -4172.\nAnswer: -4172, -647, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 - 2*y - 1. Let h be z(-3). Let v = -91 - -91.1. What is the third smallest value in h, -2\/17, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 42. Let m be ((-8)\/r)\/(-2 + -8). What is the closest to 0.01 in -2, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1392114 and 165?\nAnswer: 76566270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.29748 hours in days?\nAnswer: 5.262395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 - 3896*h**3 + 15492*h**2 + 27200*h - 38800 = 0. Calculate h.\nAnswer: -2, 1, 5, 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = -2*k + 107, -k + 46 = -5*i. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 32445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169\/990 + 1\/90. Let u be 14\/(-4) + (-11 - -14). Which is the biggest value? (a) 0.5 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -94*z - 4506. Let g be y(-48). Sort -5, -14, g, 1.\nAnswer: -14, -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -3 - (-4 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 14 = -3*s, 3*q - 5*s - 1298 = -1273 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.71 + -26.79. Let p = 0.04 + -15.04. Is p at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4052 is divided by 1113.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 12*w + 27. Let p(k) = -9*k - 19. Let d(u) = -27*u - 58. Let q(n) = -3*d(n) + 8*p(n). What are the prime factors of q(w)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11*o*o)\/(o\/o**(2\/3)*o))**(21\/2) assuming o is positive.\nAnswer: o**(245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.4, -1\/3, 15335, 232?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 640, 695?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3141 - -1?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, 180 = 2*d + l - 1092. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 188 + 642 = 5*s, -3*s - 5*q = -496. Let x = s - 123. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17377494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + -96 + (-6 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/6, -1, -0.65, 0, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*i + 18, 6*i = -60*r + 65*r + 37 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/390 and -22\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 4, n: 3, m: 1, f: 1, g: 1}. Give prob of sequence hg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 57 - 52 - 20*c + 36 - 76.\nAnswer: -20*c - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = -5*c + 4*d, -3*c = -4*d + 22. Let b = c - -10. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/2607 - ((-78080)\/1056 + 74).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4398 or 4471?\nAnswer: 4398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 361 and 627?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10222201010020 (base 3) to base 14\nAnswer: -3d285d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28654 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-17) - (-710)\/34. Let f = v + -21. Suppose 0 = l + 2*l - 4*z - 889, -z - 1 = f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2 - (-1 + 3). Let m = f - 8. Let b = -11 + 10. Put b, 4, m in descending order.\nAnswer: 4, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 973.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 5 - 5 + 1 + 0. Let m(r) = -4*r + 1. Give -7*h(d) + 6*m(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3 + (-64)\/58)\/((-2205)\/1470)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose 0 = f*j - 28 - 17. Let i(s) = -3*s - 4. Calculate the remainder when j is divided by i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 50421338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzwzzzwwwnzwnwzwwn. What is prob of picking 1 n, 2 z, and 1 w?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16663469*l - 354837351 wrt l.\nAnswer: 16663469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 9*m**2 + 6*m - 10. Let i be a(-8). Let r be (-1 + 4)*i\/9. Suppose -2*v = -2*c - r*c + 58, v = -c + 7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834557 is divided by 504?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 - 2*c**4 + 5*c**4)*(-2 + 2 + 2) + 4*c**4 + c**4 - 6*c**4 + (6*c**2 + 2*c**2 - c**2)*(-3*c**2 + c**2 + 4*c**2).\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 390*c + 39663. Calculate b(-100).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*s - 47, -3*s + 2*s = 4*m - 149. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - 0)*10\/(-16 + 6). Sort 2, 1, z.\nAnswer: 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11853)\/(-90) - (-42)\/140*(12 + -11)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24))\/((-3)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y + 0*y + 2)*(0*y**2 - 2*y**2 + 0*y**2)*(-29 - 25 - 8*y + 57).\nAnswer: 48*y**4 + 14*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/60 + u**2. Let v(g) = 95*g + 24. Let s(j) = 87*j + 22. Let t(o) = -12*s(o) + 11*v(o). Give t(w(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v + 2*v)*(-v + v + 12*v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*m. Solve m*a = 2 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 30*f**2 + 79\/210*f**7 + 11\/8*f**4 + 2 + 0*f + 0*f**6 + 0*f**5 + 1\/3*f**3. What is the second derivative of l(m) wrt m?\nAnswer: 948*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/23)\/c*c*c*c**(-2\/7)\/c)\/(c**4*c*c**(2\/15)) assuming c is positive.\nAnswer: c**(-12877\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 2*h**2 - 4*h - 2. What are the prime factors of b(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 - 19609*o**3*r - 2*o**2 - 4286*o*r - r wrt o?\nAnswer: -120*o**3 - 117654*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1416, -2777, -4108, -5403, -6656, -7861?\n\"Answer: p**3 + 9*p**2 - 1395*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -2 in decreasing order.\nAnswer: 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3 + 3)*(-2 - 4 + 5) + 0*t + 0*t - t + 4*t - 2*t - 5*t - 4*t + 3*t - 3*t to g*t + b and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 24\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -28, 2\/7, -2\/7 in descending order.\nAnswer: 2\/7, -2\/7, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -8, 5 in ascending order.\nAnswer: -8, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 4*q**3 + 15*q**3 - 10*q**3 to t*q + m + o*q**3 + j*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 497, 2\/7, -0.5, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.778251 minutes?\nAnswer: 226695060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 - 11*q**4\/12 - 11*q**3\/6 - 10*q. Let b be t(12). What is b rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 - z**3 - 2*z**3)*(41 + 41 + 14 + 31) as u*z**3 + t*z + d*z**2 + c and give u.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 11*p**3\/3 - 4*p**2 - 29*p + 8. Let x be r(13). Is (-5)\/(-15) - 1 - x\/(-6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525897 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.36213 litres in millilitres?\nAnswer: 15362.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d**3 - d**2 - 11*d - 9. Calculate r(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*f - 2. Let w = f + 5. Suppose w*k - 5*k = -33. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 41. Let l be (-5)\/(-10) - (-9)\/z. Suppose -l*f = -3*d + 152, -3 = 5*f - 13. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -41\/3, -0.4, 3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*32998\nAnswer: -329.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000637958678 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5\/2 + 1113*y**4\/2 - 46029*y**3\/2 - 10764129*y**2\/2 - 122223156*y + 748201080 = 0.\nAnswer: -44, 5, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2 - 2 + 2 - 6 + 10*a. Give g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 7. Let g = 53.1 - 53. Which is the second biggest value? (a) l (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 0\/(-4)) + 292\/(-4). Let g = 281\/4 + q. Factor 0*z - g*z**2 + 0.\nAnswer: -z**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768182.7ng to grams.\nAnswer: 0.0007681827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -55. Suppose 3*l + 0*i - 30 = 3*i, -5*l + 86 = w*i. Calculate the remainder when 17 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-4185)*120*36\/104?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/11, 0, -507, -2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223372 - -119401. Let r(o) = 73972*o**2 - 1. Let v be r(-1). Let z = v + h. What is z rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 2:04 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 811*p + 71416. Determine t(-278).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 9 - 52 + 2)*(-2*j + 2*j + 2*j).\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-14*(-18)\/12)\/(-1))\/3*2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3145 + -4920.04?\nAnswer: -4920.3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6369350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 3:37 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 208 - 195. Calculate the remainder when 129 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.1 + -80. Which is the nearest to k? (a) 1\/8 (b) -3\/8 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f + 156 = -3*x, 2*x + 88 = 4*f. Let v = 48 + x. Solve 4*t + v = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04999 - 0.45001. What is the closest to -1 in -52, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2160)\/(-75) + -28)*25\/1. Suppose -16 = -4*p + 324. What is the highest common factor of l and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 436284558 plus -18?\nAnswer: 436284540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 0, x + 8836663 = -4*z - 8363342. What is z rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.39889ng to kilograms.\nAnswer: 0.00000000005839889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 5 (c) -2\/29 (d) -0.5 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230 - -230) + 9 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/135 and 113\/54678.\nAnswer: 2460510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -664961.51?\nAnswer: 664959.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 0 (c) -1 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 9*y + 1 - 0, 0 = -k + 5*k + y - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -411798.459 and -42.757?\nAnswer: 411755.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 162012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 836*c*z**2 - 19*c*z + 132359*c - z**2 - z wrt z.\nAnswer: 1672*c*z - 19*c - 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:37 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 37.8. Let g = d + -6. What is the second smallest value in g, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 15) to base 10.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(-3*l + 2*l + 3*l) + 0*l**2 - 2*l**2 + 6*l**2 + (0*l + l - 3*l)*(3*l + l - l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 6*m\/5 + 1.\nAnswer: (m - 5)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20308, 19055, 17802, 16549, 15296, 14043?\nAnswer: 12790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -11a8?\nAnswer: 11b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -11*r + 850. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*n - 46*n - 38*n + 2)*(3*n**2 - 3*n**2 - n**2)*(-4*n + 0 + 0).\nAnswer: 4*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.0097kg to milligrams.\nAnswer: 397009700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326840626 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 + v**5 + (-v + v + 2*v)*(-1 - v**4 + 1).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/60)\/((-3)\/(-6 + -3))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + (-14)\/(-12). Suppose -y + 3 + q = 0. Which is the third biggest value? (a) -5 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/3))**(1\/9))**(-9)\/((y**(2\/13)\/(y**(-2\/5)*y))\/(y\/(y\/((y\/y**(1\/4))\/y))*y)**(-47)) assuming y is positive.\nAnswer: y**(-28447\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkjk when four letters picked without replacement from {j: 2, k: 8, m: 2}.\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**5 + 4*n**4 - 19*n**3 + 12*n**2 - 4*n. Let r(s) = 21*s**5 + 15*s**4 - 75*s**3 + 48*s**2 - 18*s. Let j(h) = 9*d(h) - 2*r(h). Factor j(k).\nAnswer: 3*k**2*(k - 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*q + 3292 - 3427 + 79*q to o*q + x and give x.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/400 and 87\/1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 391163 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-510)\/1105)\/(4*(-1)\/26). What is the nearest to -505 in u, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-462)\/120)*(-7)\/((-56)\/64)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 + 24*o**2 + 16*o**2 - 62*o**2 + 12 - 12.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(147) + -5.\nAnswer: -35*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -99. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, 0, 413, 2, 30, 5?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 + o**2 - 5*o - 5. Let p(g) = 4*g**3 + 2*g + 2. Let f = -36074 - -36076. Determine f*t(s) + 5*p(s).\nAnswer: 6*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 - 165.3. Let x = -2.2 - -2.7. Which is the smallest value? (a) x (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - j + 11*j. Let w(r) = 9*r**2 + 2*r. Let o(l) = -21*l**2 - 5*l. Let a(t) = -2*o(t) - 5*w(t). Give a(h(y)).\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878.9898 days in weeks?\nAnswer: 554.1414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (-7 - (9 - (15 + -3)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.9. Let x = -13 - -8. Let l = -164645\/21 + 23522\/3. What is the nearest to -0.2 in l, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.4, -45, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 3*k - 1007 = 7*f, -5*k + 1017 = 4*f. Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 2\/9, -3, 3159?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.16.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136590 and 57454.\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 779106.4 micrometers in meters?\nAnswer: 0.7791064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 145*k - 711. Let m be p(150). What is the greatest common divisor of 17784 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27249*a**2*c*s**2 + 32335*a**2*s + 16*s**2 wrt c?\nAnswer: 27249*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 + 1 - z + 3*z**2 in the form j + i*z + w*z**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 301447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Find the third derivative of -j**2 + 3*j**2 - j**a + j**2 - 2*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 35, 55, 95, 161, 259, 395?\n\"Answer: a**3 + a**2 - 4*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}