diff --git "a/data/dm_maths/full_data/10592_11255.jsonl" "b/data/dm_maths/full_data/10592_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10592_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 2, -4, -2\/11, -11.\nAnswer: -11, -4, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**3*f*j**4 + 9*c**3*f*j**2 - 2*c**2*f**2*j - 2*c**2*f*j**2 - c**2*f + 15*f**2*j**3 wrt j?\nAnswer: -120*c**3*f*j + 90*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwfooomfffmfffoffo. Give prob of picking 1 o and 1 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4330 minus 17.66?\nAnswer: -4347.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-28) + -2)\/((-17)\/136)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 + 10*z**4 + 834*z**3 - 1262*z**2 + 2*z + 420 = 0.\nAnswer: -14, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 583155.8nm?\nAnswer: 0.0000005831558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 397254, 1588690, 3574416, 6354432?\n\"Answer: 397145*i**2 + i + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 59, -25, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15642694 is divided by 432?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 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 x = 4.3 + -35.3. Let n = x - -30.9. What is the third biggest value in -4\/7, n, 0.8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnnvtntttvqwnnvttiw. Give prob of picking 1 i, 1 t, 1 q, and 1 w.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(1\/(-9)). What is the remainder when ((-2)\/s)\/(2\/(-186)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 3) + 4 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -3*sqrt(288)*1 - ((sqrt(288) - 1*sqrt(288))*-3 + sqrt(288) - sqrt(288)))\/((-2*sqrt(324))\/sqrt(6)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53012 or 53013?\nAnswer: 53013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - z - 80, 5*v + 2*z - 255 = 110. Calculate the highest common factor of v and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123599.048 rounded to the nearest one hundred?\nAnswer: 123600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41, 154, 343, 608, 949?\n\"Answer: 38*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2813400?\nAnswer: 2813392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -3) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1689885, -1689890, -1689899, -1689918, -1689953, -1690010, -1690095?\nAnswer: -1690214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*z**5 - 8*z**4 - 91*z - 58 wrt z?\nAnswer: -4480*z**3 - 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose -6*s + 3*s + 4*u - 16 = 0, -u + 4 = -q*s. Suppose b - 19 = -s*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 5*i = 29, 0 = 3*j + 5*i + 37. Let b(u) = -u**3 - 5*u**2 - 3*u + 2. Determine b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 4*o. Let v(n) = 2*n + 13525. Determine x(v(a)).\nAnswer: 20*a**2 + 270508*a + 914682225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2741*w + 3462. Let g(i) = 10933*i - 13849. Let n(u) = 2*g(u) + 9*m(u). What is the first derivative of n(b) wrt b?\nAnswer: -2803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 3*q**2 + q - 1. Let l be -2 + (-24)\/(-14) + 48\/21. What is t(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29931232 greater than -29931235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:35 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 23034?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - 2*n + (-n + 4 - 4)*(2 - 2 - 2) + 0*n - 2*n + n - 2*n + 6*n - 2*n - 15*n - 8*n - 3*n.\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1734 + -1611. Calculate the highest common divisor of v and 1599.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 379*x**4\/12 - 263*x**2 + 420*x. What is the first derivative of j(z) wrt z?\nAnswer: 758*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 5, 87, 1\/4, -5, 36\/25?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n**2 - 12*n - 1028. Let s(o) = -3*o**2 - 2*o + 1. Give b(i) - 6*s(i).\nAnswer: 5*i**2 - 1034","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 65*m + 0 + 9*m + 2*m**3 + m**2 + m**2 - 34*m in the form i*m**2 + q + j*m**3 + x*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**1))\/(i\/i**5))\/i**30*(i\/(i**(-5\/3)\/i))\/(i\/(i*i**(1\/5)))*i**31 assuming i is positive.\nAnswer: i**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556339 is divided by 201.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -w + 970, -13*i + 1308 = -9*i + 5*w. Suppose r + 4*y - i = 0, -5*y - 16 = -21. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzccccczzzzncncu. What is prob of sequence uz?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - u = -0*w - 32, 0 = -4*w - 2*u + 42. Let x be (w - 11) + (-9)\/(-1) + -4. Solve 2 = -x*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-40)*2 - (-23550)\/(-20500) - -1.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)\/o*o**(2\/9)*o*(o\/(o*o**0*o))**(-8\/5)*(((o\/(o*o\/o**(1\/4)*o))\/o*o)\/o**(-2\/7))\/(o\/o**(-1))**(-5) assuming o is positive.\nAnswer: o**(4231\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/48 and -99\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r - 5. Let k be n(-3). Suppose -i = -4*i + 150. Let m = i - k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100.1 - 98. Let y = -16.9 - t. Let m = 19.3 + y. Sort m, 0.01, 3\/7.\nAnswer: 0.01, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by 1137?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13441*g - 403193. Calculate b(-30).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/((-4)\/6). Is 6 a factor of -36*g\/(-4)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/36*-4*(-1 - -916). Let m = 324 + v. What is the highest common divisor of m and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2774 - 0.277401149. Round l to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v**3\/v)\/(v\/(((v\/v**6)\/v*v)\/v*v*v)*v*v*v*(v\/(v\/v**(1\/4)))\/v) assuming v is positive.\nAnswer: v**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*p**2 + 18843403*b**2 + 10814830*b*p wrt p.\nAnswer: -4*b**2*p + 10814830*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3458 divided by 247?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {e: 2, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*i - 593 = -985*i - 5180 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 18. Let p(a) = -9*a**3 - 5*a - 3. Let j be -2 + (2 - 14)\/4. Let d(o) = 14*o**3 + 8*o + 5. Calculate j*d(w) + m*p(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80661 and 206611398.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 - 29 = -5*z, 3*z = -5*q + 42. Let n be (30\/z*-12)\/(-1). Differentiate -n - o**4 + 0*o**4 + 38 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243121909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9472\/(-148))\/(-64))\/(2\/(-92)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 40 = 3*r - 26, 0 = 2*r - 2*k - 44. What is the remainder when 64 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b + 2. Let o be x(0). Let n(w) = 12*w - 1. Let y(m) = 17*m. Let t(h) = 3*n(h) - 2*y(h). Determine t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 286699173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -48, -2.929 in increasing order.\nAnswer: -48, -33, -2.929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uebe when four letters picked without replacement from {b: 4, u: 8, e: 2}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*(v**(1\/6)*v)\/v*v*v*(v**(-6)\/v)\/(v\/(v\/v**(-1\/5))) assuming v is positive.\nAnswer: v**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = -24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 0*b**3 + 27*b**2 + b**3 - 15*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151894042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-19637*l**2 - 13893*l**2 + 23439*l**2 - 36561*l**2 - 59325*l**2).\nAnswer: -105977*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 269303921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 12. Let g = h - -66.4. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 511, 524, 537, 550, 563, 576?\n\"Answer: 13*y + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4489 + 4488. Let m = 0.8 - 0.5. Which is the third smallest value? (a) m (b) r (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 4*s**2 - 46*s\/5 - 24\/5.\nAnswer: 2*(s - 12)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/(68\/11628*133).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 9. Give n(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**2\/5 - 187*f\/5 - 417\/5 = 0.\nAnswer: -139\/16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/3974311 and 43\/7587321.\nAnswer: 83460531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710935 to the power of 1\/2, to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 100*w**2 + 452*w - 348 = 0. What is w?\nAnswer: -29, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2825*x**2 - 2981*x**2 + 5068*x**2 - 1952*x wrt x.\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1137 + 560 - 736 + k**2 + 1161 in the form u*k + x*k**2 + j and give j.\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9)\/((-4)\/(-12)). Let f(z) = 30*z**3 - z + 1. Let g be f(d). Suppose 0 = -y - 5*x - 0*x + 37, g = 2*y - x. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743505\/292 - (-2 + -1)\/(-12).\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -47.7 (b) -2\/7 (c) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*-4 + 2)**2 + (-5*2*sqrt(19))**2.\nAnswer: -12*sqrt(19) + 2075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34 - 24) + 61\/(-6). Which is the closest to -10\/11? (a) x (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 7. Suppose 2*r + 18 = 2*a, -3*a - a = -r - 36. Let h be g(a). Suppose 0 = -4*d + h*d - 152000. Round d to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 98*b - 256. Let o(g) = -5*g**2 - 198*g + 509. Let h(u) = 4*o(u) + 9*s(u). What is the derivative of h(a) wrt a?\nAnswer: 14*a + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n**2 + 1277*n + 99. Calculate u(-75).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 + -2)*-1)\/1. Let x be (-4 + 1)*(-1)\/w. Factor -k + 1 - 6*k**2 + 3*k**5 + 5*k**4 + 0 - 4*k**x + 2*k**3.\nAnswer: (k - 1)*(k + 1)**3*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181642080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 - 2*z**3 + 3*z**2 + 19*z - 16865 + 16870)*(72*z - 64*z - 150*z) to p + a*z + k*z**2 + d*z**3 + h*z**4 and give a.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 22. Let a be x(-8). Calculate the greatest common factor of 140 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -15*m + 3*u - 12, 0 = -3*m - 9*u + 54 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let q = -0.2 + y. What is the second biggest value in q, -3\/5, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.84 + 0.16. Let q(l) = -l**2 - 13*l - 36. Let g be q(-8). Let a = 295 + -295. What is the smallest value in d, a, g, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/6 - 20*b**3 + 79*b**2\/2 - 59*b\/3 = 0?\nAnswer: 0, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53991 and 38689?\nAnswer: 298408257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b - 11. Give p(13).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 541 times -2\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/282 - (-24544)\/(-2961564).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 0.6. Let v = -7 + 22\/3. Put n, -2, v in decreasing order.\nAnswer: v, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 27.8. Let m = 0.0247 - 0.1247. What is the closest to 2\/9 in 1, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436870000 rounded to the nearest one million?\nAnswer: 437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 11:46 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + a. Let f(l) = 29*l**2 + 2*l + 1. Let w(r) = f(r) - 4*m(r). What is the first derivative of w(z) wrt z?\nAnswer: 66*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-1)\/(-4)*-2. Let j be 150\/45 + (-35)\/12. Are a and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4520 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 5. Suppose -3*g - 11 = 4*d - 0*g, 0 = -d + 5*g - 20. Let u be o(d). Solve s = 5*q - 0 + 5, u = -5*q - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17762\/415 - (0 + (-1)\/5). Solve n*p = 46*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = -0*p. Suppose -n + 0 - 1 = 0, 5*n - 155 = -p*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299400524 to the nearest integer?\nAnswer: 17303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612160 by -153040.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*v + 3*v**2 - 4*v**2 + 4*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*f - 0*f - b, f + 5*b + 1 = 0. Let y be (-1*6)\/2 + 54\/(-18). Let t = f + y. Solve 5*l = -3*c - t, -2*c + 0*c - 2 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {x: 4, p: 5, i: 8, j: 1}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -575 + 3*w**2 - 4*w + 575 + 0*w to the form k + m*w + f*w**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(5*4\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121102 + 1120121?\nAnswer: -10000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*d - 5965, 4*v - 5*d = 2*v + 3960. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = -6*i, 5*i = -3*l + 4. Let h = 7 + l. Solve -3*z - 2 + 12 = h*y, 45 = 4*y - 5*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -82\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -91\/22937, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*h = -1176 - 1561 - 231 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.14, -8, 1\/6 in descending order.\nAnswer: 1\/6, -0.14, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2049 is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*o + 3417, -3*w - o + 448 + 2131 = 0. What is the greatest common divisor of 132 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 184, 70, -158, -530, -1076?\n\"Answer: -5*g**3 - 27*g**2 + 2*g + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 125 in descending order.\nAnswer: 125, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000188984 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + (13 - -8) - -4) + -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31006464 and 3840?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -169.32 (b) 12 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 m when three letters picked without replacement from {m: 2, s: 3, y: 7, g: 5, c: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmtmttmttmm. Give prob of sequence mm.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -1a1?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - j - 1. Let s be k(-3). Let u = -34 + 37. Let w be 2 + (-4)\/u*6\/4. Solve w*i + i - s = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*q + 13. Suppose -q = 4*k - 4. Let i = -1 - -1. What is the second biggest value in 3, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - u**3 + 3*u**3 + (u**2 + 25 - 25)*(u + 5 - 5) + u**3 - 5*u**2 + 5*u**2 in the form g*u + j + n*u**2 + i*u**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010111011 (base 2) to base 9.\nAnswer: -6517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 326 (c) -2\/903\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/2 + 4*m - 8 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {c: 7, p: 5, j: 8}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -481 + 496 - (1 - 1 - (2 - 4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*g + 139 = 23, 0 = 3*k + 4*g - 136 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(10\/6 + -1). Let i be ((-18)\/27)\/((-219)\/27 + 8). Solve n*a - i = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s*s**(-5\/2))\/(s**(-9)*s**(-9)) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2)*v**5)**27\/((v**(-5)\/(v\/v**(-2\/15)))\/(v**(-2\/7))**(-18)) assuming v is positive.\nAnswer: v**(12524\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2341\/441 - 75\/49. Find the common denominator of -36\/11 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1 - 2) - -26. Suppose 12*k - x = 5*k. List the prime factors of k - 18*(-8 + 3).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37366 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, u: 2}. Give prob of sequence uhhu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-45)\/12))\/(10\/(-5))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q - 38726 + 12798 = 0. Let x = 2303 + q. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*j**3 + (-2*j**2 + 3*j**2 + j**2)*(-4*j + j + j))*(-6*j + 20*j - 10*j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-459)\/(-108) + 15\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 23*q + 154 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 25. Suppose -t - o = -15. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/(-12) - (-10)\/15) + -1. Solve q*t + 3*v = 2*v - 5, -20 = -3*t + 4*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*z + 8*g + 89 - 77, -z = 4*g + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33553.466 rounded to the nearest one hundred?\nAnswer: -33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 1123160.\nAnswer: 3369480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 643986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -249 or -481433\/1932?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 23 = 5*f, 2*f - w = w + 6. Let u(c) = 0 - 1 + 11*c - 5. Is u(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 7*d**3\/6 - d**2 + 10*d. Let u be k(1). Is u at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 63. What is the remainder when (-1)\/q - 98*(-26)\/24 is divided by (-22)\/88 - 290\/(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let w be -2*(1 + (-10)\/m). Suppose -w*r = -6*r + 48. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325883.24 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 115, 2 in decreasing order.\nAnswer: 115, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9460 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 minus 30381031221?\nAnswer: -30381031211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18698981 divided by 192773.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 71162.\nAnswer: 640458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3 + 16649a?\nAnswer: 1663a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23 + -14 + 18*225. Let n = w - 760. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 32*c - 405. Determine m(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - -424915?\nAnswer: 424916.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k = -6. Let f be (-9)\/6*8\/(-6). Sort -5, f, k in descending order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 20. Let c be h(12). Let y(t) = 5*t**2 + t - 1. Let s be y(-1). Suppose s*b + o = b + 5, 3*b + 20 = 4*o. Solve j - c*j - 12 = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/522 and 1\/24876.\nAnswer: 721404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 16 + 3\/(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23826\/64980)\/(33\/24)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1 (c) -66\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 38738202*y**2 - 77476395*y - 38738196 = 0. Calculate y.\nAnswer: -12912732, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30606 + 30599 - 61206 - 865*o**3.\nAnswer: -865*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 10, 1, -3, 26 in decreasing order.\nAnswer: 26, 11, 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2\/31 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 2*i)*(1 + 2 - 4)*(0*i - i + 3*i)*(1 - 4 + 1)*(-2 + 3 - 2).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/2 + 13*d**4\/2 + 29*d**3\/2 + 15*d**2\/2 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/77*(-3146)\/8580?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 49*a - 57. Give g(24).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f3 - -13805?\nAnswer: 138f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 53*h**2 + 82*h + 1511. Calculate w(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -1, 0 in descending order.\nAnswer: 11, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = 3*s, -3*w + 3*s + 18 = -0*s. Let c(z) = 2*z**2 + 3 - 4*z**2 - z**2 + 2*z + w*z**2. Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1110110001000?\nAnswer: 1110110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 63. Let n = 151 + z. What is the greatest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 7*r**2 + 9*r + 9. Let z be b(-5). Let p = z + -188. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 13551088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.1551 millilitres to litres.\nAnswer: 0.8771551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -25*w**3 + w**2 + 2*w + 1. Let j(g) = -16*g + 4. Let f be j(-5). Let s = 46 - f. Calculate the common denominator of s and d(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 3*a**2 - 3*a**2 + (1 - 1 + a)*(2579*a + 15 - 16 - 2336*a) to t*a + w*a**2 + u and give w.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 2*d - 4. Let z(m) = -22*m. Let i be z(-1). Suppose -i - 48 = -5*s + 2*h, -4*s + h + 56 = 0. What is the remainder when s is divided by o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(0 + 2))\/1. Let k be (-714)\/98 + (0 - -4). Let j = -3 - k. Which is the second biggest value? (a) 0.3 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 2*v, -4*k + 2*k = -5*v - 30. Suppose -k*l - 20 = 0, 2*y - 2*l + 0*l - 1278 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11281 divided by -36?\nAnswer: 11281\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:58 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 8*u**2 + 0*u**3 + 1\/2*u**4 + 0*u + 22. What is the second derivative of n(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k + 2*k - 41*k + 71*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 5. Let l(k) = 4*k - 6. Let m = 55 - 54. Let t be 1 - 1 - (-2 + 7 + m). Let v be ((-80)\/24)\/((-4)\/t). Determine v*l(z) - 6*c(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 = 3*i, 4*i + 5 + 11 = -2*r. Let t be (r + (-28)\/12)*0. Solve 0 = 5*f + 3*l - 9, 4*f + l + t = 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/264 and 7215\/5434 + (12\/72)\/((-3)\/24)?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 70. Let y(i) = 4*i**2 + 4*i - 4. Let j(b) = -5*b**2 - 5*b + 5. Let h(l) = -3*j(l) - 4*y(l). Let o be h(t). Are 3 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*((-3 + 1 + 1)*(-a + 2*a + 0*a) + 1 - 1 - a)*(1 + 0 + 5) as s + n*a and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -d, 2*w + 76 = 5*d + 43. Solve 0 = 49*i - 50*i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9631.282 grams?\nAnswer: 9631282000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/3 - 5\/15. What is the least common multiple of 3 - (-2 + 3)*d and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -553\/3 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*m - 14000004, -6999990 = 3*u - u + 5*m. What is u rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2254 and 343?\nAnswer: 15778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + m + 10 = -2*m, -3*h - 4*m = 35. Let l(q) = -2 - q + 1 + 3. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18618*b**3*f + 14104*f + 1 wrt b.\nAnswer: -55854*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 38. Suppose -3*n - 3 = -0*n, -5*n = -2*s + 41. Let a = o + s. Which is bigger: a or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -10*z**4\/3 + 2*z + 265. Let v(h) = 51*h**2 - 2. What is v(k(i))?\nAnswer: 81600*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:29 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1044\/(-1827)*(-1)\/(-14).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(77)\/(sqrt(7)*-2) - sqrt(11)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(-2)\/8*2 + 280\/(-42). Sort -6\/13, -1\/4, z, -3 in increasing order.\nAnswer: -3, -6\/13, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1501.17351 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 + 5*n + 71. Let b be w(11). Suppose -4*o + 1220 + 576 = -b*p, o + 5*p = 474. What are the prime factors of o?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -3, 6, -1734 in descending order.\nAnswer: 102, 6, -3, -1734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2*n - 88 = 0. Which is the smallest value? (a) -4 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 227*z**2 + 0*z + 415 + 22*z**2 - 3*z + 308*z**2 - 117*z**2 wrt z?\nAnswer: 880*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*b + 8, -3*b + 38800012 = 4*y. What is y rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*f - 37044, 55*t = 50*t - 4*f + 46306. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037055?\nAnswer: 3, 5, 47, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2207475*g**3 + 10*g - 107607779 wrt g?\nAnswer: -6622425*g**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 - 112*j**2 + 5*j - 560. Calculate w(37).\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*m**3 - m - 526.\nAnswer: -768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, 0.42, -3\/5, -7, -1 in descending order.\nAnswer: 12, 5, 0.42, -3\/5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let i be b(3). Suppose -n = -2*g + i, 5*n = 5*g - 3*g - 21. Let v = g - -3. Solve -l - l - v = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 164\/(-18) + 3\/27. Let b = 24 + i. Suppose 4*u + 3*z + 848 - 3819 = 0, 5*z = -b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = 2*x, 5*x + 5 = 2*f. Solve 0 = -j + 1, 5*o - j + 1 = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:27 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6971932, -6971932, -6971946, -6971980, -6972040, -6972132, -6972262, -6972436?\nAnswer: -6972660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 4*f + 6. Let k be g(6). Suppose 4*v + 3*p = -p - 40, 5*p = -4*v - 42. Let s = k + v. What is the greatest common divisor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -5*v, -982*v + 980*v + 1 = c. Let n(u) = u - 1. Let i(w) = 4*w**3 + 4*w - 10. Give v*i(b) - 10*n(b).\nAnswer: 4*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12*j + 10*j = 232, 5*j - 540 = -5*k. Calculate the remainder when k is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:24 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -8, -15, -24, -35, -48?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750 - -779 - 4*(1 - 0\/((-15)\/(-3))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12092572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 + 20*v**2 - 15*v + 2. Let o(j) = 4*j**3 + 18*j**2 - 14*j + 2. Let w(n) = -5*i(n) + 6*o(n). Calculate w(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k*k)**(-3\/11)\/((k**(1\/4)*k)\/(k**(2\/5)\/k)))\/((k**(-2\/13)\/(k*k**4))\/(k**0)**(-35)) assuming k is positive.\nAnswer: k**(7109\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 154461941 and 154461944 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/5))*h)**(-37)\/(h**(-15))**(-36))**(-2\/85) assuming h is positive.\nAnswer: h**(5844\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81 - -52ab?\nAnswer: 535c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -236a7?\nAnswer: -236a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*m + 3318 = 588 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -109209 divided by 36403\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40900242 is divided by 60773.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-186.\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 13) to base 12\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 - 5 = 0. Let q(z) = -2*z**3 - z**2 + 4*z - 3. Let u be q(r). Let b be (u\/6)\/(2\/(-3) + 2). Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*l - 84, -3*n = -0*l + 2*l - 41. Suppose 5*k - l = -2. Let o = -5 + k. Sort 4, 3, o.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10523426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47512, -47514, -47516, -47518, -47520, -47522?\nAnswer: -47524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420105 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 6*g + 37, 7*g + 20 = i - 8*g + 20*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 9*a. Let u(v) = -10*v - 2. Let b(w) = -w**2 + 2. Let s(m) = -b(m) - u(m). Calculate -6*p(z) + 5*s(z).\nAnswer: -z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - -2. Let b be -21*(3 - 4*4). What is the greatest common factor of b and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = i + 12. Let j = 5 - 3. Solve 5 = 3*n - 2*t, 0*n = i*n + j*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*(26\/195)\/((-2)\/(-560)). Let m be (i\/40)\/((-6)\/(-45)*3). What is the highest common divisor of m and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 220, 471, 814?\n\"Answer: 46*r**2 + 21*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 79. Suppose 106 + 134 = d*g. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726 times 72?\nAnswer: 124272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 a factor of 33096747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 13. Let w = -153 + 148. What is f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 20 = -4*s, 2*h - 16 = 6*h. Factor 0 + s*p**2 + 0*p + 2\/7*p**3 + 2\/7*p**4.\nAnswer: 2*p**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 33 - 30. Let g = p - -30. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*q + 2, 1183*q = 1184*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35006.6 to the nearest ten.\nAnswer: 35010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 y when four letters picked without replacement from yyyyxyyx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355928740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 32*v**3 + 2*v**2 - 2*v**2 - 2*v - 28*v**3 to d*v + r*v**2 + l + q*v**3 + p*v**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-612)\/(-30) - 2\/5. Let r be ((-10)\/8)\/((-1)\/i). Let m = -76\/3 + r. Is -1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from jrwbjssrjrsrsttbbw?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:06 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 2*g - 290000. Suppose v = -66 + 71. Suppose 4*q - 4 = v*z, 2*q = -z + 3*q - 1. Let h be n(z). Round h to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12293 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646874.\nAnswer: 2, 19, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28440 = 4*a - 19*a. Suppose -2*p + 1892 = 2*q, 12*q + a = 14*q + 3*p. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -199, 1, 2, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21 - 2*s**3 + 0*s + 8*s**2 - s - 2*s**3 - 19. Let b(g) = -3*g**3 + 7*g**2 - g + 1. Let q(u) = 5*b(u) - 4*p(u). Factor q(h).\nAnswer: (h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q - 249*q + 12 = -4*y, 8*q = -4*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 45*d + 116. Let b be z(-45). Let u(f) = -57*f**2 + b*f**2 + 11*f - 4 + 0 - 60*f**2 - 6. Determine u(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 - 2*m**2\/5 + m\/5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 11*c - 41*c = -160, 4*x + 3*c - 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15)**44\/(i\/i**(-1\/3)*i**(-2)) assuming i is positive.\nAnswer: i**(1982\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.006 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:52 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2)\/sqrt(9))**2*-5.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * -15.66\nAnswer: -3.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**7\/7560 + b**6\/1080 + 5*b**4\/4 - 12*b**2. Let k(z) be the second derivative of a(z). Factor k(j).\nAnswer: j*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395 + 42 = 16*q - 49*q + 8 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 10 = 48 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -n - 4*i, -3*i = n - 0*i - 71. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941809 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283 - 43. Is 60 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*w - 3 = 0, -4*a + 5*w - 6 = -10*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 + 0*d + 4\/3*d**2.\nAnswer: 4*(d - 2)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 = -2*i. Let k(g) = 1 - 4*g - i + g**2 + 6*g. List the prime factors of k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5673.769 years?\nAnswer: 68085.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 2*j, -4*r - 2*j - 14 = 0. Let w = 5 + r. Let h = 25 + w. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -63196*j. Let v(g) = 82*g**2. What is b(v(m))?\nAnswer: -5182072*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -47. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.80455 centuries to months.\nAnswer: 88565.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.123787 + -37.123287. Let f = 37 + d. Round f to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/223 (b) -1.7 (c) 4 (d) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b**2 + 3*b. Let j be t(-3). What is the units digit of 1 + (j + -2 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 5*i - 4. What is n(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -17. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 18*t - 33*t in the form f*t + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 14 + (1 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w - 2*v, 5 = 2*w - 4*v - 7. Solve 11 = -3*c + w*z, 4*z = 5*c - 0*z + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 1380?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13 + 13*b - 4*b**2 - 5*b**2 + 24 + 10 + 12 - b**3. Determine j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 13*f**2 + 253*f\/4 + 1210.\nAnswer: -(f - 11)*(f + 8)*(f + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 - 1063053*o**2 + 2126115*o - 1063059 = 0. What is o?\nAnswer: -354353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0709625647 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38140 - 37999. Solve b - 2 = 0, -3*o - 139*b - 7 = -a*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 191.9. Let x = q - 9.4. Let t = -3 + 2.6. Which is the nearest to -3? (a) t (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13051 + 13051 + 12*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27248 divided by -262?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002157454?\nAnswer: 2, 19273, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 280*s - 7250.\nAnswer: 2*(s - 725)*(s + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Let f(b) = b**3 - 5*b**2 - 10*b + 3. Let y be f(7). Let k = 37 - y. Solve 5*u = -q - 30, -k + 46 = -i*q - 4*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 154 = -40*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-164)\/(-205))\/((-4)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2810.57 + 2833. What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-11)\/9 + 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -92.3 and -101.1.\nAnswer: -193.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from unznumwcw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 1078?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 - -766. Let z = p + -359.301. Let j = z + 1.3. Round j to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d - 5. Let v be j(5). Solve -5*m + v = -5*l, 5*m - 9 = -3*l - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 - 1\/90*q**5 - 3*q + 1\/3*q**3 + 1\/18*q**4 - 2*q**2. Let u(s) be the first derivative of z(s). Suppose u(v) = 0. What is v?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 41\/5 (c) -2\/113 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 76*k = -928 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)\/(i**(-4)*i*i))\/(i*i*(i**(3\/7)*i)\/i*i*(i\/i**(-4))\/i*i))\/((i*i*i**(-4)\/i*i)**16)**(-35) assuming i is positive.\nAnswer: i**(-70951\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.669 take away -628?\nAnswer: 670.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/8*(-14)\/(-21)*(-59094)\/1323\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 0, 0 = 3*c + 4*b + 43 + 133. Let f be (0 + 4 + 61)*c. What is the units digit of 2\/19 + f\/(-76)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -30. Let j(h) = h**4 + h**3 - 3*h**2 - h + 1. Let i(y) = 1. Let z(o) = r*j(o) - i(o). Factor z(q).\nAnswer: -(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -8, -13, -18, -23, -28?\n\"Answer: -5*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 48*y**2 + 324*y + 272.\nAnswer: -4*(y - 17)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**15)**38*(j**(-2\/5)\/j)\/j*j*(j*(j**(-26)\/j*j)\/j*j)\/j)**40 assuming j is positive.\nAnswer: j**21704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 146, 0.2, 5, -18\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1620 and 17\/72.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**4*u)\/u*u\/u**(2\/31))**(-6))**(-44))**(-42) assuming u is positive.\nAnswer: u**(-1696464\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89\/12 - 27\/4. Let d be (-3588)\/(-4720) + (-6)\/8. Let o = 539\/5015 + d. Which is the nearest to 1\/2? (a) o (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89236956*t + 93720748.\nAnswer: -89236956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100110111111000 (base 2) to base 13\nAnswer: 9115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 8137963876?\nAnswer: 8137963874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -2*y + 728. Calculate the greatest common divisor of y and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - q**2 + 28 - q**3 - 2*q - 27 - q**2 + 6*q**4 to the form g*q**3 + w + a*q**2 + u*q**4 + c*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 not equal to 1814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -845863*b**2*v**3 - 400795*v**3 wrt b.\nAnswer: -1691726*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (2 + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56580467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51334 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421352532 (base 6) to base 10.\nAnswer: -7355432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from vjdvkjjjaav?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 146 - 526 = 26*q + 7*f, 4*q + 208 = -4*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/45)\/((-2)\/90). Let l be (-3 - 0)\/(x\/(-12)). Solve 0*w - w - 1 = 3*p, -l*p = 4*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Let h = 20 - r. Suppose -3*k - 3*n = -0*n - h, -1 = -k - 2*n. What is the highest common factor of 36 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 24. Suppose 0 = -3*w - d, 3*w - 5451 = 5*p + w. Let x = p - -1644. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 + 7 = 0, -4*u - 18 = 3*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1)*12\/8. Let g(a) = a**3 - a**2 - 4*a - 1. Let c be g(b). Suppose 12 = -3*d, c*r + d = 2*r + 44. Calculate the highest common factor of 128 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77.95523 minutes?\nAnswer: 4677313800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.4981 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171594 divided by 9533.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -20, -2, -2\/5, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by -66.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 26. Suppose -5*g - h + 118 = 0. What is the remainder when 24 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 134697*n - 269378*n + 134686*n.\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*z = 5*x + 2, -5*z = 10. Suppose 0*c = c - 20. Calculate the lowest common multiple of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 31, 42, 57?\n\"Answer: 2*s**2 + s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49427696.\nAnswer: 2, 3089231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 w when three letters picked without replacement from {z: 2, w: 1, u: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.12006 plus -71.798?\nAnswer: 730.32206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56995, -113971, -170931, -227875, -284803, -341715?\n\"Answer: 8*a**2 - 57000*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o - n, 3*n - 27 = -4*o + o. Suppose -u = 4*u, -5*u = -o*h + 8. What are the prime factors of 4*19 + 0\/h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -3*f. Find the common denominator of 87\/20 and 877\/144 + f\/27.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five eighths of a century?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/4 - -24)\/2. Let w = -19 + l. What is the units digit of (-200)\/w - (-18)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 354924 + 0.23448.\nAnswer: 354924.23448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 20. Let p be j(8). Suppose 2*f - 52 = -5*v + 6*f, 4*f - 20 = -p*v. Solve 3*l = -n - v, n - l + 5*l + 9 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*y + y - 23, -y - 25 = -3*a. Let x(p) = -p + 7. Determine x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 11. Let a be (12\/(-1))\/((-12)\/8). Let y be d(a). Suppose -y*c - 98 = 1802. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 - -0.81. What is the nearest to 0.1 in 4, i, -26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(-96*s + 336*s - 128*s).\nAnswer: -560*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1222*r**2 - 1217*r - 1. What is t(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 1. Let f = -1434 - -1437. Calculate the smallest common multiple of f and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:53 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v + 3. Let c be t(2). Let j(a) = 4*a**2 + 68*a + 195. Let h be j(-3). Calculate the highest common factor of c and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9 = -3*x, 0 = 2*x + 11 - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*l - 5 = 0, -2*d = -3*l - 3 - 7. Suppose 4*s + 24 = 2*b, d*s + b = 5*b - 33. Sort 0, s, -1 in ascending order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -508\/3 (b) 1\/2 (c) -4 (d) 1\/269 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**2*q**3 + 8*c**2*q**2 - 11*c**2 + 2405*c*q**3 wrt q?\nAnswer: 36*c**2 + 14430*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 4*k. Suppose k = 4*f + f + f. Suppose f = -m + 501 + 560. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32781581 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 k(c) = c**3 - 6*c**2 + 2*c - 9. Let p be k(6). Let w be p\/(-2)*12\/(-9). Let m(z) = -z**2 + 4*z - 2. Let j be m(3). Is j smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5459525795 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, j: 8}. What is prob of picking 3 j?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 738411221 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168 in -4, -4\/125, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57446101?\nAnswer: 19, 3023479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -11)\/((-10)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let t(j) = 3748*j**2 - 3*j - 6. Let d(r) = -11251*r**2 + 8*r + 16. Let y(l) = -3*d(l) - 8*t(l). Calculate y(n(f)).\nAnswer: 15076*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1934 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11869 + 11863.481. What is p rounded to one decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2845?\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-1 - -8) - 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a - 6. Let m(y) be the second derivative of -1\/2*y**2 + 1\/6*y**3 + 0 - 2*y. Let k(w) = 5*m(w) - n(w). What is the derivative of k(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -1 + sqrt(11) + 5 + -3).\nAnswer: -24 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0590287 + 0.059. Round h to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-12)*2)\/((-1)\/4). Let z(g) = 2*g**2 - 6*g + 2. Let j be z(5). Let o be (1 - -1) + (j - 1). Solve 5*d = l + l + o, -a*d + 5*l = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23762318 - -23762871.96927. Let r = -554 + p. Let m = r + 0.031. Round m to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149210374 to the nearest integer?\nAnswer: 12215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 213 - 3*i**2 + 122.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 3*y + 15*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/43579 and -95\/174316?\nAnswer: 174316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 3*a - 300 = 0. Let l(v) = -v**3 - 24*v**2 + 25*v. Let h be l(a). Sort h, -2\/9, 0.3.\nAnswer: -2\/9, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3*r**3 + 313*q**3*r**2 + 76*q**3*r + 10*q*r**3 + 459*r**3 wrt r?\nAnswer: 6*q**3 + 60*q + 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/5 of a millennium?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1969527 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 15*q**2 + 374*q + 5717. Give r(-15).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70411 divided by -1903?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o. Solve -3*y + 5*c + 0*c = 0, -2*y - 4*c = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4)\/((-3)\/4). Let w = -112 - -116.7. Let j = w + -5. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49324 or -49340?\nAnswer: -49340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/4 - 885*d**3\/4 - 7883*d**2\/4 + 885*d\/4 + 1971 = 0.\nAnswer: -876, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 - 0.47. Sort 7, -3, g in increasing order.\nAnswer: -3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2054 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.8. Let g = -0.8 - -4.8. Let i = g + -3. Put i, t, -0.1 in increasing order.\nAnswer: -0.1, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 1 + 0*j**5 - 1\/6*j**3 + 0*j**4 - 25\/2*j**2 - 21*j - 83\/15*j**6. Find the second derivative of o(q) wrt q.\nAnswer: -1992*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, f: 6, e: 2, s: 2}. What is prob of picking 3 f?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262 times -5?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10594413 divided by -5\nAnswer: -10594413\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43135 is divided by 348?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92568646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7098003 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -76, -5, 5, 13, 1.\nAnswer: -76, -5, -2, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/1197*(-7)\/(-42)*9?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -5345?\nAnswer: 5345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -432759, -1.8, 0.1 in descending order.\nAnswer: 0.1, -1.8, -432759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/8 + 5*d**2\/2 + 5*d. Let z(l) be the first derivative of o(l). Let w(q) = -2*q - 2 + 2. Calculate w(z(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -110\/83397? (a) -2\/5 (b) 6\/17 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7*w*w\/(w**(3\/10)\/w)*w**(2\/71)\/w**(-24) assuming w is positive.\nAnswer: w**(23947\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 1\/7, 131, 1\/26?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4201024 (base 5) to base 6\nAnswer: -1250533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - 2*p - 1. Suppose 0 = 3*r - r - 20. Suppose -4*g - q = -0*g - 8, 5*g - 5*q = r. What is the units digit of s(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6739 + 6752. Calculate the remainder when 315 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.1 + -1.1. Let t = -69 - h. Let c = t + 77.9969. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**3 + 7\/12*k**4 + 0 - 13*k + 1\/2*k**2. Let h(o) = -15*o**2 - 2. Determine -7*g(c) - 3*h(c).\nAnswer: -4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2434 - -2452. Calculate the greatest common divisor of h and 48798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72777)\/36975*-29 + -57 + 338\/(-2350).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -2, 0.36, -56\/407?\nAnswer: -56\/407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 4*a**2 - 4*a - 12. Let g(m) = -2*m**3 - 3*m**2 - 3*m - 11. Calculate -6*g(i) + 5*n(i).\nAnswer: 2*i**3 - 2*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7320 divided by -8.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 2784 + 2766 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5234 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*3\/1386*88\/(-16)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*p + 3680 = -78*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 195745, 783009, 1761771, 3132025, 4893765, 7046985, 9591679, 12527841?\n\"Answer: -n**3 + 195755*n**2 + 6*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1472, -1476, -1480, -1484, -1488, -1492?\n\"Answer: -4*u - 1468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*28\/((-77)\/11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 75430998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1153199724 or 0?\nAnswer: -1\/1153199724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from wcwwccsws?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2038312 = -363*u - 2011087 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 + 87 - 773*i**2)*(3*i**2 - 3*i**2 - 5*i**2) + (i - i + i)*(0*i + 0*i - i**3) to the form w + s*i + p*i**2 + v*i**3 + x*i**4 and give x.\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 950\/(-380)*2\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99.9 + -83. Let p = -16 + u. Let m = p + -1. Which is the third smallest value? (a) -0.05 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -389 or -0.11?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g - g + 3*g - 9*g to the form f*g + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*b = i - 45, 2*i - b - 37 = 0. Suppose 2*c + 2*c = 128. What is the remainder when c is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 20243 = -5205 + 11560. What is the remainder when 807 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 17*i - 3573. Suppose -1140 = -3*u - 2*v, 3*v + i = u - 2*v. What are the prime factors of u?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -21a8?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15379 divided by -84\nAnswer: 2197\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22787477, 45574983, 68362503, 91150043, 113937609, 136725207?\n\"Answer: r**3 + r**2 + 22787496*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (47 + -5*(-49)\/(-35))*14. What is the greatest common divisor of 200 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {r: 1, q: 3, x: 1, m: 1, p: 1, z: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22064 and 21334.95?\nAnswer: 43398.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11119182 < -11119183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 - 6584 + 6579 - 3*l - 3*l**3 + 2*l**4 - 2*l**2 to the form d*l + p + b*l**4 + n*l**2 + x*l**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -387, -816, -1247, -1680, -2115, -2552, -2991?\n\"Answer: -q**2 - 426*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 20*b - 71 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70573317 is divided by 564?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from {p: 2, g: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, -2, 2.\nAnswer: -5, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -324\/23?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 12*g + 16. Let x be (-67)\/(-5) + (-26)\/65. Let t be h(x). Suppose 0 = i - 8 - t. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559420.\nAnswer: 2, 5, 31, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let b(a) = a. Let t(j) = -b(j) - 6*g(j). Suppose 4*f - q = 72, 0 = 2*f + 3*f + 4*q - 90. Calculate the least common multiple of t(-8) and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 446 - a5d8?\nAnswer: -a192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232.1 + 215. Let h = q + 17. Let r = 52 - 154\/3. Which is the closest to r? (a) h (b) 1\/6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10506 = -5462 + 12806. What is the least common multiple of i and 14?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3459, -6939, -10419, -13899, -17379?\n\"Answer: -3480*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 3*w**2 - 123*w - 59. Let d be g(10). Solve 4*v = -s + d, 13 = -8*s + 13*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2776 and 35\/108.\nAnswer: 74952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 3. Let k be (-2)\/6 + (-32)\/(-6). Suppose v + 2*z - k = 0, -5*v - z - 2*z - 3 = 0. What is the tens digit of j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1073779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-2)\/6)\/(20\/60). What is the nearest to 2 in o, -2.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 10*h + 12. Let k be (1 - -1)\/h - 14\/18. Let q(t) = t**3 - 9*t**2 + t - 13. Let l be q(9). What is the third biggest value in 2\/17, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.78 + 1.1. Let a = t - 0.32. Let m = -1.83 + -1.17. Put a, m, 2\/5 in descending order.\nAnswer: 2\/5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 8 + 0 + 27*g**3 + 4*g - 2 + 9*g wrt g.\nAnswer: 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96319 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 22) + (6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508180525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d + 3. Suppose -y = 2*h - 4, -3*h = 3*y - 2*y - 9. Let o be a(y). Find the third derivative of -3*v**2 - 2*v**3 + v**2 + 3*v**o wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w + 1\/2*w**2 - 65. Calculate l(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**9\/241920 - y**8\/40320 + y**7\/20160 - y**5\/15 - 4*y**2. Let z(t) be the third derivative of c(t). Factor z(h).\nAnswer: h*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 1 - (136*-1 + 1)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 14\/(-3). Suppose 25 = -4*v + v + s*h, h = -4*v - 8. Let y = 18 + v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 42*w - 38. Let j be m(1). Let b = 16 - 6. Suppose -5*g = b, -2*g - 263 - 121 = -j*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l - 110*l = 276. Suppose -4*x + 908 = 4*v, -5*x - 3*v + 8*v = -1165. Calculate the greatest common divisor of x and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let u(g) be the second derivative of -15719*g**3\/6 + 3*g - 250. Calculate l(u(d)).\nAnswer: -247086961*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13642\/3 + 4548. What is the fifth smallest value in -1, 2, -2\/3, -7, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:26 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-4) + -2 + 18. Solve 0 = 5*w - 2*y - 21, 0*y - m = -4*w + 2*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/h**(1\/2)))))**37\/(h**(2\/9)\/(h**6\/h*h))*(h**6\/(h**(-1\/9)\/h))\/(h\/(h**(-1\/6)*h)*h*h\/(h**3\/h)) assuming h is positive.\nAnswer: h**(281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 2) to base 9\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 379 + 135 = 0. Solve -o*c + 20 = 0, -52*r + c = -49*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*p**3 + 0 + 1\/3*p**5 + 83\/3*p**4 - 5375\/3*p**2 + 3698\/3*p = 0. What is p?\nAnswer: -43, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 2 - sqrt(320) - (-1*(1 + sqrt(5)) - sqrt(5)) - (sqrt(125) + -4 + sqrt(25)\/(sqrt(245) + sqrt(5))))**2.\nAnswer: -175*sqrt(5)\/4 + 6261\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58943664 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 9 = 0. What is the third derivative of 10*v**3 - 133*v - 11*v**2 + 133*v + s*v**3 wrt v?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*a + 10, 2*a + 19 = 29 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7 - (10 + (-372)\/84). Let r = 80 + -83. Put 7, -1, x, r in descending order.\nAnswer: 7, -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(3 - 2 + 0) + 141 + 13 + 25 - 24)*(36*d**4 + 11*d**4 + d**4).\nAnswer: 7392*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/30 - 7*a**4\/12 + 3*a**3 + 2*a**2. Let w be i(11). Let j = 148 - w. What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21835090, -87340380, -196515866, -349361548, -545877426?\nAnswer: -786063500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 12. Let t = -97 - b. Let h = -7.00032 - t. Round h to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/60 + 3*d**4\/8 + 11*d**3\/6 - 9*d**2. Let p be l(-8). Let s be ((-36)\/2)\/(p*14\/(-147)). Round s to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from drttprtrtd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152478837*g**3 + 33*g**2 - 189936*g - 3 wrt g?\nAnswer: 914873022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*l + 2 = 97, -3*l = 3*f - 45. Let a be (-8)\/80 + 182\/f. Let z(y) = y**3 - 8*y**2 - 9*y + 1. Calculate z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 5*a - 3*a)*(-14 + 39 - 14) to the form x + l*a and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 5*i**2 - 12*i - 7. Determine q(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 4319 + 1010 = -149*o + 97 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4364604 is divided by 428.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**2*s*w**2 + 23*k**2*w**3 - 7*k**2*w**2 - 350*s*w**3 wrt s.\nAnswer: 3*k**2*w**2 - 350*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3934 = -5*j - 3809, -2*j + 18 = -6*q for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y + 36. Let u be 198\/(-12)*3\/y. Is u bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49027931?\nAnswer: 49027931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031168.\nAnswer: 2, 3, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -141, -197, -249?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 382*j**2 - 146*j**2 + 183*j**2 + 0*j**3 - j**3.\nAnswer: -2*j**3 + 419*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 2*v - 1. Let x be i(1). What is the units digit of (-56)\/(-21)*(-6)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -5 (c) 0.03014 (d) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -222.\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -980581, -1961159, -2941737, -3922315, -4902893, -5883471?\n\"Answer: -980578*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/11 - 145602*q**3\/11 - 321131790*q**2 - 28538629587702*q\/11 + 514840695639012\/11 = 0. Calculate q.\nAnswer: -24273, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1822493*h**2*r**4 - h**2*r**2 + 503*h**2*r + 7*h*r**5 - 2*h*r**2 - h*r + 4*r**2 - 16*r wrt r.\nAnswer: 43739832*h**2*r + 420*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 2. Find the first derivative of -10*w**3 + 10 + l*w + 28*w**3 - 14*w wrt w.\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 17 = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 95 = 59. Calculate the least common multiple of (0 - -16)*2\/4 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-3*u**2 + 3*u**2 - 2*u**2)*(40 - 40 + 7*u) + u**3 - 4*u**3 + u**3 in the form q*u**3 + j*u + x*u**2 + r and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*t**2*v**4 + 328*t**2 + 4*t*v**3 - 1 with respect to v.\nAnswer: -108*t**2*v**3 + 12*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235183\/18 - -13069. What is the common denominator of -127\/258 and v?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n + 192. Determine u(20).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25989551 is divided by 1528796?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkooyr. What is prob of picking 1 k and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 2*w**3 + 0*w**3 + (1424*w + 2*w**2 - 1424*w)*(w - w + 3*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.062 - 66.938. Let v = h - -30. Let q = -36.99748 - v. What is q rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*2*2)\/((sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6))*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8567*d - 8561*d - 5*u + 104, -u + 18 = -d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/(((j**17\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 - g - 4. Let v be r(0). Let w be (362\/(-4))\/(2\/v). Suppose w = 4*z + 57. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 2*l - 4*l)*(-346 - 418 - 69 + 93) as h + g*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhhhhhhhhyh.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*u - 17*y + 20*y, 4*u = -2*y + 68. What is the highest common divisor of u and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2329 + 2551. Do r and 2436\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -22*j**6\/15 + 8*j**2 + 45*j. What is the derivative of z(m) wrt m?\nAnswer: -176*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.503 minus 13408543031?\nAnswer: -13408543031.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, a: 3, m: 4, c: 2, i: 3}. What is prob of sequence pamp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -446 (base 11) to base 6\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1492642093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + -1)) + (4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/9 in 0, -4, 3\/41, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/9))**0\/(h*h**(-2\/39)*h)**(-11))**43 assuming h is positive.\nAnswer: h**(35948\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - -6 - (-1 + 14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15385 is divided by 75.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - 47*d - 4. Determine h(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64431*-0.323\nAnswer: 20811.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9432361 + 9383144.074. Let f = -49147 - o. Let d = -70 + f. What is d rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 14*y**2 - 15*y + 9. Let o be s(-11). Let b = 125 - o. Let u = b - -5333. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 357*m + 4212.\nAnswer: (m + 12)*(m + 702)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29, -46, -67, -92, -121?\n\"Answer: -2*m**2 - 11*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.002 - -3.07155. Let x = -15.93 - -16. Let s = a - x. What is s rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -847 times -0.4\nAnswer: 338.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3102 + 30?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23441*f + 15105*f + 8341*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 less than 100.4458?\nAnswer: -678.5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*8\/120*3\/(-2)*86234 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 31*x - 35. Let r be z(10). Is -146 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7839, -31057, -69655, -123633, -192991, -277729, -377847?\n\"Answer: -7690*z**2 - 148*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 + 10833*h**2 - 1652568*h + 61752852 = 0.\nAnswer: -3759, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 7 + 3*i**5 - 2*i**4 + 2 + 8*i**4 + 2*i wrt i.\nAnswer: 60*i**3 + 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*6)\/(sqrt(9) + sqrt(54)\/(2*sqrt(6))) + (sqrt(960)*-1)\/(sqrt(36)\/sqrt(3)*3).\nAnswer: 44*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 743 + -748. Let f be 6\/(-12) + 1\/(-10). Which is the smallest value? (a) -28\/11 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 22 = -7*h, 0*v - 3*h = 7*v - 3*v + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 574075*f**3 - 2*f**2 - 7. Let h(a) = -a + 1. Let y be h(-3). Let z be (5 - 2) + 0\/y. Let o be t(z). Round o to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -5, 2, -0.2 in increasing order.\nAnswer: -8, -5, -0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = -16. Does 3 divide 1\/1 - (2 + d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5131211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/20 - (-82)\/4. Suppose -s - 1 = -y. Let a = 75 - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -64*w**3 - 11*w**2 - 152*w + 317. Let r(c) = 86*c**3 + 12*c**2 + 152*c - 316. Let q(t) = -4*l(t) - 3*r(t). Factor q(a).\nAnswer: -2*(a - 10)*(a - 2)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41904259 + 41904259 + 6106*f)*((-f - 2*f + f)*(-5 + 5 - f) + 2*f**2 + 8*f**2 - 5*f**2) in the form h*f + k*f**3 + d + c*f**2 and give k.\nAnswer: 42742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4))**2 + -4 + sqrt(19) + -5 - (sqrt(1900) + -1)**2*-3.\nAnswer: -59*sqrt(19) + 5713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -24\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by -1*2*308\/(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(192))*-2 + sqrt(192) - sqrt(192)) + 0 + sqrt(363) + 1*sqrt(363))*3.\nAnswer: 12 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (160\/48)\/(6\/9) - 5. Solve c = 4*f + 4*k - 4, -29 = 3*f + k - 6*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-110) + (-2576)\/7084.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 7*j + 3*j)*(106 - 165 - 280)*(4 - 1 + 2).\nAnswer: 5085*j - 1695","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(100\/12 + -7). Suppose -3*m - 2420 = -d*m + 5*u, -5*m + 3*u = -4012. What is the highest common factor of 32 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3*t**3 - 4*j**3*t**2 - j**3 + 367*j**2*t**3 - 9*j*t**3 - 807*j*t + j wrt t.\nAnswer: 18*j**3 + 2202*j**2 - 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/3 + 120666*a + 361992 = 0.\nAnswer: -180996, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*a - 907 = -314*a + 2333 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -7)\/4*-2. Let q be (0 - 2 - o) + -12. Let z(y) = -2*y**2 - 33*y - 14. Let s be z(q). Solve s*l + 6 = 0, 3*l - l - 10 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*t + 6 = 0, -c - t + 0*t = -3. Let a(f) = f - 3. Let l be a(12). Suppose -21 = -6*k + l. Solve -c*g = -k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = 4*r, r + j + 7 = 3*j. Let y be 1*(r + -4 + 2). Suppose 3*o + 9 = -3*v, o = 3*o + 3*v + 10. What is the highest common divisor of y and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*t - g + 4136, -4*t = -4*g - 3264. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 110\/17 (c) 8\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z + 2*z**2 - 17*z - 3*z**3 + 22*z**3. Does 5 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-10 + 10 - 23*u).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4628, -4697, -4766, -4835, -4904, -4973?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 13.2. Let n be ((-126)\/(-36) + -5)*((-35)\/6 + 6). Sort x, n, -0.3, -1 in descending order.\nAnswer: n, -0.3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 1840754016*o + 211773459213758016.\nAnswer: 4*(o - 230094252)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10234168 - -5?\nAnswer: -10234163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 6*q - 1. Let x be c(-2). Which is greater: x or -468\/29?\nAnswer: -468\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/3 + 15. Suppose 0 = -3*j + 4*g - 16, -2*g + 8 = 2*j + 2*j. Suppose 3*w = 3 - j. Which is the second biggest value? (a) -5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjjwww. Give prob of sequence ww.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -2*l - 3*h, h = -3*l - 115 + 93 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*-4 + (sqrt(135)\/sqrt(5))**2 + 1.\nAnswer: -4*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22280700 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 461\/(-133) + 4 - 4\/(-7). Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let x be (2\/(-27))\/(m\/3). Which is the closest to x? (a) 5\/3 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -0.2. Let f = -0.3 - -0.1. Let t = f + -0.8. Put y, t, -0.4 in descending order.\nAnswer: y, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-16)*((-11845)\/(-621) - 19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11101001110101000111 (base 2) to base 10\nAnswer: 957767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, -1, -3, -31, -2 in descending order.\nAnswer: 22, 3, -1, -2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 + 6*g - 12.\nAnswer: -3*(g - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 24. What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**7\/2520 + 7*m**6\/720 - m**5\/30 + 103*m**4\/24 - 117*m**2. Let c(f) be the second derivative of t(f). Calculate c(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 - -5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1085*k - 1081*k - 13352, -3*k = l - 6675. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1281132018 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 487654 (base 15) to base 10\nAnswer: 3467554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a230 (base 13) in base 12?\nAnswer: -39ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-770)\/(-21))\/(-11))\/(4\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 + 325*i - 324 = 0 for i.\nAnswer: 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l = 67*l + 151 - 79 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = -0. Let i be 0 + (-2)\/k - (-32)\/6. Solve i*s + 4 - 17 = -f, 0 = 4*f + 3*s - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 885, 899, 923, 957, 1001, 1055, 1119?\n\"Answer: 5*q**2 - q + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.27 - -6.1. Let o = -0.18 + 0.2. Let a = b + o. Is -1\/3 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/43680 and 41\/910.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 33*q**2 - 3*q + 96. Let i be m(32). Suppose 2*p - i = -2*l, 0 = -l - 2*l - 6. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92 - 59 + 54*z + 15*z**2 - 71 + 3*z**2 + 54*z.\nAnswer: 2*(3*z - 1)*(3*z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 divided by 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 86. Suppose -3*b + 144 = -i. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8268 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.4, 2\/9, -1\/5, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t + 6. Let q be l(-5). What is the highest common divisor of q and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 551, 1531, 2991, 4937, 7375, 10311?\nAnswer: 13751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4828 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 1, e: 4}. What is prob of picking 1 e and 3 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**14*g)*g*((g*g\/((g*g\/(g*g**(2\/13)\/g*g))\/g*g*g*g)*g*g)\/g)\/g*g)\/((g*g*g**3)\/((g\/g**12)\/g)))**(-31) assuming g is positive.\nAnswer: g**(11625\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let k be h*1\/(-6)*4. Is 17 + 6\/(-3) + 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 -43652 and 2483?\nAnswer: -108387916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-10) + (-2 - 18\/(-10)). Let g be -1 + (-10)\/3*10\/(-60). Which is the closest to 1? (a) -8 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 13*i - 6. Find the third derivative of 6*q**i + 116*q**4 - 1 - 2*q**5 - 137*q**4 - 3 wrt q.\nAnswer: -120*q**2 - 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12156, 12157, 12158, 12159, 12160, 12161?\n\"Answer: l + 12155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s + 4. Let y(b) be the first derivative of b**2\/2 + b - 1677. Determine d(v) - 3*y(v).\nAnswer: 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*x**3 - 1604*x**2 + 105*x - 227 wrt x?\nAnswer: 330*x - 3208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 + 72*i**2 - 164*i\/3 - 848.\nAnswer: -4*(i - 53)*(i - 4)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -18*3\/15 - 6\/15. Let v(p) = -22*p - 49. Let n be v(o). What is the greatest common factor of 26 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 210746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -7\/57 (c) 5 (d) 22 (e) -0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 5*s + s + (-4*s + 3*s + 3*s)*(4 - 5 - 1) - s - 2*s + 2*s + s - 7 + 2*s + 8.\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -4*i, -d - d = i - 10. Suppose -22*b = 4 + 18. Sort 4, 3, b, i in descending order.\nAnswer: 4, 3, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.68 - -132. Let h = 5.2967 - m. Round h to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhqqhobhhbhbo. What is prob of picking 3 h and 1 b?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:19 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/3 + 8*g\/3 - 64\/3 = 0?\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 1. Let o = v - -1. Suppose 2*u + o*u = 4. Let g(l) = 5*l**3 + l. Give g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-5 - (0 - (3 + -4))). Find the third derivative of -9*p**2 + 252 - 252 + 97*p**t + 140*p**2 wrt p.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136 (base 12) to base 10\nAnswer: -1914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 127*j - 2. Let k(f) = -9*f - 175. Give k(b(l)).\nAnswer: -1143*l - 157","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1576, 1645, 1738, 1855?\n\"Answer: 12*m**2 + 33*m + 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.56079 decades to millennia.\nAnswer: 0.4456079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 46, -1\/2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let l = 2 - 1. Let d(c) = 1. Let m be ((-1)\/(-2))\/((-2)\/12). Let f(v) = 4*v**2 + 3. Let x(a) = l*f(a) + m*d(a). Give n(x(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:49 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvvmmmqsvq. What is prob of sequence vvsv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/3)\/((-34)\/(-6) - 6). Suppose 0*b = g*b - 17576. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184888 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:34 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.7 + -17. Let d = -66 + 62. Which is the closest to 1? (a) w (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.1, 1\/6, -4\/7, -0.05, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -320, -309, -300?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/14*5*(-14)\/(-4). Let y be a\/27*(-45)\/10. Let j be 2\/(2\/y + 19\/(-120)). What is the greatest common factor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 672.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14811 is divided by 3701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -74*x - 18. Let k be n(-7). Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 312, 1069, 2544, 4977?\n\"Answer: 40*i**3 - i**2 + 2*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -912, 1, -12.\nAnswer: -912, -12, -4, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**3 - 4777*c**2 + 1039*c - 12184. What is l(-531)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajjj when four letters picked without replacement from pqjajjpjjpjj?\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46 and 1.87.\nAnswer: 47.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -22122001010?\nAnswer: 22122000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 9.5 and 13901 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87089.3 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 79*c + 119. Determine m(-40).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*s - 1299 - 3284 - 1564 = -407 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) - ((sqrt(1100) - sqrt(44)) + sqrt(11))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o. Let d(m) = m**3 - 4*m**2 - 7*m + 9. Let h be d(7). What is the remainder when r(-5) is divided by (-4)\/10 - h\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40442 less than 40443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:36 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 59. Suppose 0 = 3*x - 3*x + j*x. Suppose x = 11*h + 127 - 809. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-112)\/147)\/(-4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l = -44*l - g, 2*g - 10 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 190, 418, 738, 1150, 1654?\n\"Answer: 46*r**2 - 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = q - 426 - 182, -4*y - 16 = 0. Suppose -42 + q = 13*i. Calculate the remainder when 141 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53520595 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 - o**3 + (17*o**2 + 11*o - 11*o)*(4*o - o - 2*o).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -2345, -5582, -10445, -17120?\nAnswer: -25793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + -2011112222211?\nAnswer: -2011112221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9302130\/17 + 546785. Let h = 399 + p. Which is the nearest to 0.1? (a) 0.2 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -3.3. Which is the third smallest value? (a) 5 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*g + 162*g + 177*g)*(11*g - 20*g - 8*g).\nAnswer: -4556*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5426 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 50 + 84 - 13*u**2 + 20*u**2 - 127. Determine r(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2 - 25*i + 58*i - 32*i. Calculate n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -6*v. Suppose -a = 4*k - 23, 0 = -0*a - a - v*k + 13. Let d(y) = -a + 1 - 2*y - 3 + 1. Determine d(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 320074128 = -55*h. Let i = h - 4407412. Round i to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -54233*d**2 - 40*d + 32. Let x be i(12). Round x to the nearest one hundred thousand.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51216\/2716*2\/(-8)?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -431, -1729, -3893, -6923, -10819, -15581?\n\"Answer: -433*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110100010111011010 (base 2) to base 4\nAnswer: -310113122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let q = 0.3 + t. Let d = 7 + -4. Which is the biggest value? (a) q (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a (base 12) in base 7?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 501257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 43 = b, -7*b + 6*b = -5*k - 49. Calculate the greatest common divisor of 1079 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 7, -5, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(2 - (0 + -1)). List the prime factors of 31 + 3\/(c\/(-4)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, 0.06, -2\/69653?\nAnswer: -2\/69653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2058.953 - -2058. What is y rounded to two dps?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2623205 is divided by 994.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79097, -79105, -79115, -79127?\nAnswer: -79141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-11 - 4 - 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -14. Let z(g) = -s + 4*g**2 - 2*g**2 + 8. Let t(n) = -8*n**2. Determine t(z(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5462, 10674, 15884, 21092, 26298, 31502, 36704?\nAnswer: 41904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 10*h + 9. Calculate r(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.999 + -0.001. Let y = -3 - j. Let x = 27 - y. Which is the second biggest value? (a) x (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0752 + 0.075201934. Round f to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Let p be (y\/(-2))\/(1\/(-4)). Let m = p - -8. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Let h = 13.9 + -14.5. What is the smallest value in 0, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 42162*t - 16 + 42162*t + t**2 + 2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 13*g**2 - 12*g + 6. Is 29 a factor of o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*y - 35069 + 10607. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*g + 84. Let m(q) = -19 + 5*q**2 + g. Let j(o) = o**2 - 3. Let z(n) = n**2 - 5. Let s(x) = 5*j(x) - 3*z(x). Calculate m(s(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + 4.18. Let z = -1 - -6. Put t, z, 1 in decreasing order.\nAnswer: z, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, q: 6, z: 1}. What is prob of picking 1 q and 1 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 15 - 9, -4*l - 32 = -4*p. Solve -p*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 111, 164, 223, 288?\n\"Answer: 3*g**2 + 38*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100110100101000010111110?\nAnswer: 100110100101000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ispspspsppsssppisis. What is prob of sequence pisp?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1236 <= -38\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2315551454 + 2?\nAnswer: 2315551500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3444\/112 - 28)*(-16 + 2870\/165).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(704) - sqrt(704)*-2)*2 - (3*(sqrt(704) + -1*sqrt(704)*-1))**2).\nAnswer: -101376 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/152 and 11\/2692642.\nAnswer: 10770568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 16. Let i be g(7). Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 + 7*v - 9. Let q be z(-5). Suppose q = w - 4*n + 4, 0 = -3*n - 15. Solve 2*i - w*i + 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2223092 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 34760?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 13*f + 10 + 9*f. List the prime factors of n(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162283 - 242.2940197\nAnswer: 162040.7059803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + -5 - 23) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -127*u**2 + 8*u - 13. Let d(k) = -85*k**2 + 5*k - 8. Let r(a) = -8*d(a) + 5*j(a). What is r(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36 + 75*b**3 - 58 - 164*b**2 + b**4 + 10*b**3 - 163*b + 67*b**2 + 71*b**2 wrt b.\nAnswer: 12*b**2 + 510*b - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*(-425)\/(-1250)*-25.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - i - 84, -3*i = -5*n + i + 133. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 3. Let d(z) be the first derivative of -z**3\/3 - z**2\/2 + 19*z - 123. Let n be d(-6). Calculate g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1631 + 21214\/13. Let y = z - 68\/65. Put 3, 15, y in increasing order.\nAnswer: y, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 - 542 = -3*o. Calculate the remainder when 151 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1040144?\nAnswer: -1040202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5334*j**3 + 258*j**2 - 12066388*j.\nAnswer: 32004*j + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 63*r**3 + r**2 + r - 9. What are the prime factors of a(4)?\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11037 is divided by 93?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(539) - (-1*(sqrt(11) + -1) + sqrt(11))**2.\nAnswer: -42*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012200122202 - -112?\nAnswer: 2012200200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*m - 2, 11 + 13 = 5*h - 2*m. Suppose -79 = h*a - 2*l + 55, -a - 36 = -l. Let z = 34 + a. Sort -1, -3, z.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 114, -189, 4, -2 in decreasing order.\nAnswer: 135, 114, 4, -2, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + -12 - -21) + -12?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:48 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/142 and 57\/22?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5285494, -2, 1.\nAnswer: -2, 1, 5285494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 3*y, 525*y = 5*a + 530*y - 20. Solve 2*r - 15 = a*v, 5*v = 3*r + 3*v - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00258954839 rounded to seven decimal places?\nAnswer: -0.0025895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 22. Let j(b) = 2. Determine -c(q) + 2*j(q).\nAnswer: -q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/720 + n**5\/60 - 7*n**4\/12 + 13*n**2. Let d(s) be the second derivative of w(s). Calculate d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0 - 11*c - 37 - 13*c**2 - 7*c - 17*c**2 + 29*c**2. Determine k(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10 - 2)\/(34 - 4472\/130)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 + g - 6781 + 6780 - g - 106*g**3 + 4*g wrt g.\nAnswer: -24*g**2 - 636*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -83. Let j = 375.03 - 359.8. Let z = -0.23 + j. Sort a, -2, z in increasing order.\nAnswer: -2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122010102 + -2102002?\nAnswer: 21112201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.1451, -7, -0.113?\nAnswer: -0.1451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s*s**(-1))*s*s*s)\/s)\/s)\/s)**(20\/9)\/(s**(-3)\/s**(-6)) assuming s is positive.\nAnswer: s**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707238960?\nAnswer: 2, 3, 5, 23, 31, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*y + 12, -3*y - 3 = 9. Let d(m) = -3*m - 7. Let f be d(-3). What is the third derivative of -h**f + w*h**5 + h**5 - 2*h**2 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6842514 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00126154 rounded to six decimal places?\nAnswer: -0.001262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2529, -2491, -2437, -2373, -2305?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002530 divided by 290?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/49)*w*w)\/w)\/w*w*w)**31*w\/w**(-1\/2)*w**16 assuming w is positive.\nAnswer: w**(10953\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1115 + -1099 + (-70 - 2)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(0 + 0 - z) - z + 3 - 3 + z - 2*z - 2*z + 1015*z + 621*z + 39 + 21 - 465*z - 60.\nAnswer: 1169*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -107550830?\nAnswer: 107550829.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 826*v + 526*v - 1229*v to d + h*v and give h.\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, -348 in ascending order.\nAnswer: -348, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -4\/17*r + 1\/34*r**4 + 19 + 0*r**3 - 3\/17*r**2. Solve t(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89719 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 283847*0.02\nAnswer: 5676.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/168884 and -41\/2516?\nAnswer: 106228036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1762727 and 0.247982.\nAnswer: -1762726.752018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*b - 36 = 0, 4*w - 2*w - 26 = -2*b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:35 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-14))\/((-2)\/336). Let j = w + -94. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3100, -2508, -1916, -1324, -732?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and -450?\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -5*o. Let v(c) = -4 - c**3 + 2*c**2 + 1 + 3*c**2 + 0*c**3 - o*c. Let s(f) = -5*f - 1. Let k be s(-1). Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 210 - 1182. Let g = u - -861. Calculate the remainder when g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -40. Let j = -144 + 157. Calculate the remainder when f is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + l + 2*l + l - l + (-4 + 2 + 0)*(-2*l - l + 5*l) + 0*l - 4*l + 2*l - 4*l + 5 - 5)*(-13*l**2 + 8*l**2 + 21*l**2)*(-3 + 2 + 0)*(3*l + 47*l - 4*l).\nAnswer: 6624*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10130022030 (base 4) to base 2\nAnswer: 100011100001010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -2. Let m = j - -17. Let d = 19 - m. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 5*u. Let s(q) = 2*q**2 - 6. Let w(k) = 5*k**2 - k - 17. Let x(r) = -17*s(r) + 6*w(r). What is 6*p(m) + 5*x(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36513.\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:09 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1)\/(-52 - -51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -195285?\nAnswer: -1\/195285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54991048 - 3.\nAnswer: 54991045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 65\/3579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 9 + 3 + 0 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 4 + 3 - (sqrt(70) + (sqrt(70) + (-2*sqrt(70) - sqrt(70)) - sqrt(70)))\/sqrt(10))**2 + 1.\nAnswer: 42*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 l when three letters picked without replacement from {q: 4, o: 5, l: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/28 - 229\/(-7). Let m = l - 18. Suppose 4*t + t = m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - -11) - (-30 + 13 - 7).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 + 58*g**2 - 23*g - 78. Calculate m(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rriririirrlrli. Give prob of sequence lir.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -116\/5, 0, -1\/3?\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w + 0*w + (4*w**2 - 6*w**2 + 0*w**2)*(w + 2 - 2) + 4*w**3 - 3*w**3 + 0*w**3)*(4*w - 4*w + 2*w)*(-3*w + 5*w - 5*w).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1703497, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*a**2*z + 5*a*b - 3*a*z**3 - 2611*b*z**3 + b*z**2 wrt a?\nAnswer: 112*a*z + 5*b - 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6571.\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 5*a**3\/3 + 4*a + 5. Let n = 5 + 4. Let l(q) = -2*q**2 - 2. Let u(o) = n*l(o) + 4*f(o). What is the derivative of u(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (13 - 22 - -30) - -34.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q + 1192 - 163*q**2 - 7*q**3 + 2*q + 81*q**2 + 2*q + 6*q wrt q?\nAnswer: -42*q - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/10*(-9 + 1). Find the third derivative of -j*o**3 - 8*o**2 + 0*o**3 + o**2 + o**3 wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11144553.\nAnswer: 3, 7, 530693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 248 + -253. Let u = 182 - 182.5. Which is the biggest value? (a) -0.01 (b) u (c) 0 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 15\/2, 5\/4, -4, -5?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206554223*d**2*k + 292665520*d**2 wrt k.\nAnswer: -206554223*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -1631?\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001728 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 2.9750678.\nAnswer: -0.208254746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15625568 and 0.3.\nAnswer: 15625568.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1551 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148*j**3 + j**2 + 3167 wrt j?\nAnswer: 444*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, -889.\nAnswer: -889, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13855 is divided by 6731.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81896 and 3016.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a factor of 1343850802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 99*m**2 - 477*m + 30. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/2407579 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -11255, -63, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -789, -1304, -1549, -1536, -1277?\n\"Answer: -2*f**3 + 147*f**2 - 942*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -344002*d + 40. Let y be c(20). Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 4*o)*(-1055*o**2 + 229*o**2 - 267*o**2 - 950*o**2 + 272*o**2)*(4*o + 0*o + 0*o).\nAnswer: -28336*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 37*a**2 - 97*a**2 - 2*a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16978427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 243*t - 245*t + 128, 0 = 4*i - 3*t - 148. Calculate the remainder when 58 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -8 + 10 + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:17 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s. Let f(d) = -1. Let l(j) = j - 2. Let k(o) = 2*f(o) - l(o). What is k(y(m))?\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7882 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81 - 1d3d5?\nAnswer: -1d466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-420) + 8041\/6020?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(9) + -2*sqrt(9)))\/(sqrt(21)\/(-1*sqrt(7))) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -879, -0.08, 2, 5 in descending order.\nAnswer: 5, 2, -0.08, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14822, 59159, 133070, 236555, 369614, 532247?\n\"Answer: 14787*a**2 - 24*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 - 3 + 2*c + 2*c**2 - 3*c**4 - c**3 + 10*c**4 + 16*c**4 in the form l*c**4 + h*c + i*c**3 + x + f*c**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/8 + 23*i**3\/4 + 195*i**2\/2 + i + 402. Factor u(n).\nAnswer: 3*(n + 10)*(n + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 5*v + v + 4*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 11*y - 8. Let n be d(10). Suppose -u - n*u = -795. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*u + 12, 2*h = -5*u - 0*u + 21. Let j(q) = -q + 5. Let y be j(h). Factor 1 + 3*v - 7\/4*v**y.\nAnswer: -(v - 2)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*v + 3 - 3) + (-7 + 7 - 13)*(2 + 5*v - 2).\nAnswer: -61*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0.4, 0.26.\nAnswer: 0.26, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14859 divided by -3\nAnswer: -4953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874739 is divided by 80?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6.06 times -4.4\nAnswer: 26.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o + 1. Let v(u) = -7*u. What is -2*k(w) - 5*v(w)?\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 4\/(-3 - -1). Suppose 0*s + 5 = q*s. Let r(h) = -h. Let x be r(1). Sort -2\/5, s, x.\nAnswer: x, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/5 + 50387*v**3\/5 + 151167*v**2\/5 + 151169*v\/5 + 10078 = 0. What is v?\nAnswer: -1, 50390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671*c*k**3 + 30*c*k**2 + 43*c + k**3 wrt k.\nAnswer: 4026*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a - 2. Let g(s) = 3*s**2 + 3. Let o be g(-2). Suppose -p - o = -6*p. Let x(y) = -2*y + 4*y - 1 - y**2 - p*y. Determine -2*w(m) + 3*x(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14441567.\nAnswer: 7, 31, 61, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50622734 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 23 + -78 + 32 + 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/176 and 97\/2880?\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21048221 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19.4. What is the nearest to -1 in s, -0.1, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 15. Let f be r(-5). Let i be f + (-4)\/(-2) + -3. What is the first derivative of -17*l**3 + 0 + 2*l**3 + i wrt l?\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55655.\nAnswer: 5, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 108. Let p be (-9)\/(-3) + (-1 - -213). Let z = y + p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100000 - 11?\nAnswer: -10010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.730123 decades to months.\nAnswer: 927.61476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 3284994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - -2*sqrt(121)*5)\/(sqrt(11) - 5*-2*sqrt(11)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 491 + -491.6. Which is the nearest to 0.2? (a) -3\/7 (b) 4\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -27*m**3 - 8*m**2 + 4 - 8*m + 10*m**3 + 11*m**3 + 5*m**3. Determine t(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 2*v**6\/15 - v**3 + 13*v**2 - 4*v + 49. Let z(m) be the first derivative of k(m). Differentiate z(a) wrt a.\nAnswer: 16*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q + 20*q + 21*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11606263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/(-135) - 5\/25)*6. Put q, -38, -24\/7 in increasing order.\nAnswer: -38, q, -24\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8170847.\nAnswer: 8170847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -300 + 300 + 138*w**2 - 126*w**2. Let t(i) be the second derivative of -i**4\/6 + i. Determine t(b(z)).\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + u - 1 = 5*t + 10*u, 0 = 2*t - 13*u - 13 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39955, -159737, -359373, -638863, -998207, -1437405, -1956457?\nAnswer: -2555363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 21947.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 8*r**2 - 4*r - 7. Calculate o(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*m*w**3 + 8*b*m + 2*m*w - m + 25*w**3 with respect to w.\nAnswer: -9*b*m*w**2 + 2*m + 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 411?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(-70)\/80 + (-6 - 0). Solve -5*u = 2*s + 7, -2*s + 3 = -4*u + h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*j - 25, -2*j - 26 + 1 = -3*w. Suppose -w*l + 36000020 = 4*y, 4*l - 26999984 = -3*y + 8*l. What is y rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 949 + -950. What is the nearest to z in 21\/5, -3\/2, -1\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-10 + 9) - (2 - (1 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/14 + 515\/56. Let g = 13038 - 65848\/5. Let b = g - -136. Find the common denominator of b and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j + 112*j + 1860 = -4020. Suppose 184 = -5*b + 4*y - 53, -4*b = -y + 183. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 2*m**4 - m**4 - 4*m**4 + m**4 + 5*m**4 + (1 - 4 + 1)*(-2*m**4 + 0*m**4 + 0*m**4) + m + m**4 - m + 23*m**4 + 39*m**4 - 19*m**4.\nAnswer: 52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b77 + -5a66?\nAnswer: -85dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -235, -353?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(5 + -10) - (-6)\/2. Let p = 24 + t. Calculate the smallest common multiple of 99 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(468) - sqrt(13)) + sqrt(13))*4 + sqrt(39)\/sqrt(3) + 3.\nAnswer: 5 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64360.\nAnswer: 2, 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -2. Let g(n) = n**3 + 8*n**2 + 4*n + 4. Let u = -21 + 34. Calculate the remainder when g(b) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*(-8)\/(-6). Let k(s) = 5 - s - a - s + s. List the prime factors of k(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2313 + -1?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/23542 and 15\/1264.\nAnswer: 188336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 24 + 3*x - 21 - x. Let f be a(-3). Find the third derivative of -23*g**6 + 49*g**2 - 21*g**f + 59*g**6 wrt g.\nAnswer: 1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(1015\/(-165)))\/((-31)\/(-217)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:58 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 4. Let o(v) = 1. Let h(y) = f(y) + 3*o(y). Let n be h(5). Sort -1, -5, n in increasing order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 80*s**3 - 2*s - 1. Let h(y) = y + 1. Give -h(m) - n(m).\nAnswer: -80*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/306 and 91\/22.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -9*m**8\/14 - m**7\/21 - 7*m**4\/6 - m**3\/6 - 5*m. Find the third derivative of j(y) wrt y.\nAnswer: -4320*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129562, 258976, 388390?\nAnswer: 517804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 16*o**2 + 17*o - 25. Let y be x(15). Suppose y*w - 455 = -145. Are 61 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364464 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28951761 a multiple of 2039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -109560.948 rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -84, -229, -426, -669, -952, -1269?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 3 + -1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 28*c**2 + 52*c - 236. Is r(-24) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z - 5*u + 25, -5*u - 10 = 3*z. Suppose 0 = w + 7543911 + 3956114. Let x be (w\/z - 5)*-1. Round x to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122089783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 80*l**2 + 72. Let w be m(-2). What is the highest common divisor of 56 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(-2)*o**(-3\/5)\/((o\/o**(2\/11))\/o) assuming o is positive.\nAnswer: o**(-78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:55 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38020944 by -60931.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, -5\/6, 21, -3, 138?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/7 (b) 4\/9 (c) -3\/2 (d) 87311 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/7 (b) -1 (c) 4 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-703 + 1095 + 964)*(3*x**5 - x**5 + 0*x**5).\nAnswer: 2712*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49125 - -93916. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 0.05, 28, 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -427 + 287. Let y = g + 353. What are the prime factors of y?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9970291 to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*w**3 + 3 + 58*w**3 - 58*w**2 - 116*w**3.\nAnswer: 2*w**3 - 58*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -2, 4, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24875345?\nAnswer: 5, 11, 452279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**3 + 768429 - 768429.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*g - 827*g + 18927 + 14004 = -12959 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**7\/315 + o**6\/180 + o**4\/2 - 9*o. Let n(c) be the third derivative of j(c). What is the second derivative of n(y) wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78518 - 87770 = -76*b - 0*b. What are the prime factors of b?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4412640812?\nAnswer: 2, 29, 31, 757, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.428 - -0.128. Let k = -5.5 + 18.5. Let s = v + k. Which is the second biggest value? (a) s (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 48*l - 5*c = -41, -c + 1 + 0 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 824393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let d be 2\/(-4) + 9\/6. Let g be (2\/c)\/(d\/3). Solve g*x = -x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*u = -87*u - 23532 - 10580 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -200498*u**2 + 238*u - 714. Let h(q) = 4221*q**2 - 5*q + 15. Calculate 238*h(r) + 5*j(r).\nAnswer: 2108*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from cuuccucuqqccucuccu?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 650393.01369 + -0.24?\nAnswer: 650392.77369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 32*r + 81, -2*d + 100 = 48 + 46 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/8)\/(4*(-420)\/12864) and -79\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82176374?\nAnswer: 2, 7, 5869741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(8\/(-10))*-2*(-38)\/(-1330)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9001*u + 19126. What is a(2)?\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 1\/1080*a**6 + 0*a + a**2 + 0*a**5 + 1\/3*a**3 + 0 + 0*a**4. Let x(c) be the first derivative of p(c). Solve x(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -28)\/(14\/(-8)) + (-6)\/(-14). Sort 1, 4, -3, n, -1 in descending order.\nAnswer: 4, 1, -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-9)*18\/8. Let g = -12 - w. Suppose -3*q + 7*c = 3*c + 220, -5*q + 4*c - 364 = g. Round q to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 109 + 29 = -m, 5*s - 5*m - 83 = 10*s - 2*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 18. Give v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31880 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-247)\/455 - 2\/35. Sort -4\/5, -4, a, -0.5 in increasing order.\nAnswer: -4, -4\/5, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 12377.5207\nAnswer: 3713.25621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -q + f - 16, 0 = 3*q + 4*f - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*m + 92 = 0, -23 - 31 = -3*g + 3*m. Suppose 0 = -3*v - v + j + g, -v + 16 = -4*j. Calculate the lowest common multiple of 14 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111861911, -111861913, -111861915, -111861917, -111861919?\n\"Answer: -2*y - 111861909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/8 - 4\/16. Let z = -8 + h. Let b = -305 + 314. What is the highest common divisor of z and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/90720 - g**5\/30 - 6*g**2. Let x(n) be the third derivative of p(n). Solve x(v) = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 7. Determine l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1131748780*g**5 + 925574454*g**2 wrt g?\nAnswer: -67904926800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 4216*o**3 + 16834*o**2 + 4196*o - 25248 = 0. What is o?\nAnswer: -2104, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*u**3 + 309440*u**2 - 21340*u = 0.\nAnswer: 0, 2\/29, 2134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 23 = 7*v - t, -2*v + 4*t + 22 = 0. Suppose -2*m = -5*g - 11, -5*g = 2*m + 6 - v. What is the highest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.035 meters to micrometers.\nAnswer: 901035000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98388.9999947003 + -98389. Round b to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-7 - 0) + (-46 - -47)) - 49?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2466 is divided by 1835?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 638*r + 14050. Give u(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93591179 to the power of 1\/2, to the nearest integer?\nAnswer: 9674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 128.9.\nAnswer: 120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3464*v**2 - 9*v + 6902*v**2 + 8 - 3449*v**2. Give h(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((133\/7)\/(-342))\/((-4)\/((-160)\/(-4))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 + 0*c**2 - 2*c**2 + (18*c - 14*c + 41*c)*(-3*c + c + 3*c) as a*c + d*c**2 + m and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2448) + -2 - (sqrt(2448) + sqrt(2448) + sqrt(2448) + -1*sqrt(2448)*1 + sqrt(2448))**2.\nAnswer: -22034 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029739 to 5 decimal places.\nAnswer: -0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 511366536 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -882*-50\nAnswer: 44100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 188\/3 + 190\/3*v + 2\/3*v**2 = 0. Calculate v.\nAnswer: -94, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-48))\/((-36)\/(-96))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29505 and 105387645.\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 22254*f + 53558995.\nAnswer: -(f - 24445)*(f + 2191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105506584 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -135*x**2. Let c(h) = -2*h. What is b(c(z))?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228486737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - 3*j**2 + 3*j**2)*(-3469*j - 841*j + 539*j).\nAnswer: 3771*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/(-880))\/((-10)\/(-4)))\/(24\/(-16)).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**3 + 11*b**2 - 5*b + 11. Let u(j) = 7*j**3 - 6*j**2 + 3*j - 6. What is 6*m(r) + 11*u(r)?\nAnswer: -r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 24 = 4*f. Let v(j) = -4 - f*j + 2*j + 3*j. What is the units digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.6, 11, 5, 856, -5, -3 in decreasing order.\nAnswer: 856, 11, 5, 0.6, -2\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*d + 47*d = 78*d - 1440. Solve -44 = -8*a + 4*z, -12*z - 28 = -4*a - d*z for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579000 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - 666\/27. Let i = 25 + y. Let x = 79 + -78. Solve -l = -x - i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19098 and 208.93?\nAnswer: 3990145.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 1. Let p be (-4)\/(32\/20)*-2. Suppose -45 = -p*o - 5*z, -5*o - 3*z + 29 = -6. What is the lowest common multiple of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, m: 3, k: 3, e: 2, j: 1}. Give prob of sequence eo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -75, 3\/5, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39557 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f + 6 + 18*f + 12*f + 20.\nAnswer: 64*f + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, f: 2}. Give prob of picking 1 f and 2 b.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*-2 - -6*sqrt(228)*-2)\/((-2*sqrt(60))\/sqrt(5) + sqrt(12) + sqrt(12) + (sqrt(300) - ((sqrt(300)*-2 - sqrt(300)) + sqrt(300)))).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1.3, 22, 164, -3\/7, -2\/9 in descending order.\nAnswer: 164, 22, 1.3, 1\/4, -2\/9, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7480473 divided by -371\nAnswer: -20163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 491, 0, 135.\nAnswer: -1, 0, 4, 135, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/(i*(i*i**(2\/13))\/i))\/i))\/i**1)\/(i**(-2\/3))**(-2\/19))**(-8\/5) assuming i is positive.\nAnswer: i**(-6424\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -130. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -15, 225904, -2 in descending order.\nAnswer: 225904, 36, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 4. Let p be f(-2). Suppose -4*u + c + 158 = 3*c, 0 = -p*u - 5*c + 59. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10*l = -2*o + 2936, 2*l + 7348 = 5*o. What is the remainder when o is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 77*i + 1068. Give w(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-484)\/(-20) + (-2)\/10. Let o be 1 - ((2 - 1) + 0). Let t = y + o. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -661367?\nAnswer: -661391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000262 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 598667092*p**6 - 60329*p**2 - 3*p + 433 wrt p.\nAnswer: 71840051040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137655 and 71415?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -22\/903 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*q + 122 = 420, 5*v - 4*q = 1462. Calculate the remainder when v is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72669.61 and 2.\nAnswer: 72671.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**0))\/v*v))**(-2\/137)\/(v**1)**(-2\/13) assuming v is positive.\nAnswer: v**(248\/1781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + 8.6. Let g be -4*4\/(-28) + 0. Let o = -7.95 + -0.05. What is the second smallest value in q, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8 * 10.6798.\nAnswer: 83.30244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by -11?\nAnswer: -336\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164.57 + 162.57. What is the nearest to x in 0.2, -164, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6525027, -6525041, -6525055, -6525069, -6525083, -6525097?\nAnswer: -6525111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + -21 - (-102)\/(-20))*(4 + 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728021707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:03 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74319\/38 at least as big as 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 99\/22*2\/12*4.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(100\/(-8))\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 230 = -18*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 573805 and 5250?\nAnswer: 602495250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -857 + 862. Let x(n) be the third derivative of 0*n + 8*n**2 + 1\/180*n**q - 1\/36*n**4 + 0 + 1\/18*n**3. Factor x(k).\nAnswer: (k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 + 44368*i**4 - 245665292*i**3 - 4432762512*i**2 - 19963616562*i.\nAnswer: -2*i*(i - 11101)**2*(i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 592 - 613. Let m be (-6)\/s - 6*60\/(-63). Solve v + 2*l = -4*v - m, -5*v - 3*l - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520773741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -241224*h - 2653469. Determine y(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -145, -4 in ascending order.\nAnswer: -145, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2461*i - 7 + 2462*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(-19 + 31). Let w = -5 - -3. Sort -3, j, w in ascending order.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -180d - b?\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 less than or equal to 83710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 27 = -18. Let n be (-366)\/54 - (-2)\/h. Let v = 28 + n. 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: Let z(n) = n**3 - 20*n**2 - 19*n + 13. Let c be z(21). Suppose 11*r - c = 6*r. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-1)\/2)*0. Suppose -j + 80 - 23 = q. Let y = 80 - j. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -16*o**3 - 3 + 64*o + 124*o**2 - 120*o**2 + 51 - 4*o**4 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 - 5*z**2 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = x - 3*v - 52, 3*v + 68 = 2*x. Suppose 0 = -3*j + x + 2. What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 286 = w, -11 = n + w - 81. Calculate the greatest common factor of 96 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 + 14 = 0. Suppose -h = -3*r - 3*r. Suppose 2*d - 5*y = 107, 55 = -r*d + 4*d - 4*y. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1904 = -2*r, -3*u - 3*r + 678 + 768 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y - 44. Suppose 3*h - 4 = 20. Calculate the remainder when y is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 20 + 19 = 0. Let 0 - 2\/3*v - 8\/3*v**o + 10\/3*v**2 = 0. What is v?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {c: 1, x: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 178. Suppose 3*w + 41 = -5*u, -5*u = -2*u - 15. Calculate the least common multiple of 50 and d(w).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 - 172*t**3 - 3186*t**2 = 0.\nAnswer: -59, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 700967992501123735\/5635446 + -248771079521\/2. Let b = 8\/3093 + a. Let v = b - -3694\/22775. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224984 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9155 to two dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5888\/2112 - (30\/(-55))\/1.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 198388.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7256545575 to the nearest integer?\nAnswer: 85185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16*b)\/b**(-5\/4) assuming b is positive.\nAnswer: b**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -6, -18?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -4 (b) 4\/3 (c) 0.8 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/((u*u*u*u**(-41))\/u*u)*u))\/u)\/((u*u**(-28)\/u)\/u) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 3, u: 6, r: 2}. Give prob of sequence eren.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1446 - 20586 = -38*h + 2*h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 183 = -2*h, 720 = -3*c + 7*c - 5*h. Suppose 10*g - 185 = -c. Solve 4*i = 5*z + 1, 3*i - 5*z - g = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2029658 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1\/4590, -2, -3.2, -0.2, -1.7, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190443009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -15643.708?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98584.\nAnswer: 2, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020871335?\nAnswer: 3, 5, 233, 669611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1889779 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u. Let a(c) be the second derivative of -2*c + 0*c**3 - 1\/6*c**4 + u*c**2 + 0. Let z(y) = y**2. Calculate z(a(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 760668229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -3 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 131\/3. Suppose -4*w = -w + 4*b + 3, 3*w - 6 = -b. What is the nearest to -0.1 in l, 1\/4, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*a = -55*a + 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(9\/5)*(m\/((m\/m**7)\/m))\/(m*(((m\/(m\/m**4))\/m)\/m)\/m)*(m*m**6*m*m**(2\/9))\/((m*m**(-3\/5))\/(((m*m**(-2))\/m)\/m)) assuming m is positive.\nAnswer: m**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -479*u + 487*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/225*18\/9.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = 0, -2*m - 4*g - 31 = -5*m. Let s = 11 - m. Let o(j) = j**3 - j**2 - j - 1. Let k be o(-1). Is s less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 12*a - 83. What are the prime factors of i(-22)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2*w + 18*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-644)\/30 - 1) + (-361)\/((-56677)\/3297)?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -3. Let s(h) = h**3 + 4*h**2 - 6353*h - 25400. Calculate the smallest common multiple of f and s(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -522189*s - 682249 wrt s?\nAnswer: -522189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 2395\/431?\nAnswer: 2395\/431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*l**4 + l**3 - 15*l**2 - 6*l**4 + 2*l - 2 + 17*l**2 + 33*l**4 in the form k + c*l**4 + d*l + w*l**2 + n*l**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 11*l - 7. Let b be 32\/3 + (-4)\/6. Let m be t(b). Suppose -m*a = 1 - 10. Solve n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = -v, -4*n - 3*v - 1 = -6*n. Suppose n*y - 2*m = m + 7, 2*y - 3 = -m. Let d(b) = -b**3 + 3*b**2 - 2*b + 1. Determine d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 9*a - 131 - 73 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/15)\/q**15)\/(q\/(q\/((q\/((q\/q**7)\/q))\/q))*q**(7\/5)))**15 assuming q is positive.\nAnswer: q**(-355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2\/5 - 18321291*w\/5 - 256498662\/5 = 0?\nAnswer: -14, 6107111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -305250 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 18, 5, -3, 2 in ascending order.\nAnswer: -3, 2, 5, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24696 and 1568?\nAnswer: 98784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:41 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/7 + ((-240)\/70)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116192954 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3454719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3*o**2 - 3*o**2 + o**2 + 0*o**2 - 2*o**2 + (-5*o + 4*o + 2*o)*(o - o - o))*(8*o + 12 - 12).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -79. Let s(d) = -d**3 - 46*d**2 + 45*d - 67. Let y be s(-47). What is the greatest common factor of h and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-16)\/(-72))\/(8\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15*24\/60 - -16 - (-36)\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33794 is divided by 881?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 341, 684, 1027, 1370, 1713, 2056?\n\"Answer: 343*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -549.952 - 8.328. Let k = 559 + b. What is k rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-1 + 3\/15). Solve 0*u = -3*u - n*s - 8, -u = 4*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 169\/(-26) + (-13)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -9*m**2 + 1 + 3*m**3 + 3*m - 1 + 3*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(91\/133))\/(-1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0 + 0)*(-474 + 237 - 202)*(-3*r**2 - r**2 + 2*r**2) + 2*r**4 + 0*r**4 - r**4 + (4*r**2 + 4*r**2 - 6*r**2)*(2*r**2 + 2*r**2 - 3*r**2).\nAnswer: -875*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 448*h**2 + 7056*h.\nAnswer: -4*h*(h - 126)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/41320239 and 74\/33.\nAnswer: 454522629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -32\/1039, -5 in increasing order.\nAnswer: -5, -32\/1039, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, -17, 0.\nAnswer: -17, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 8359379 and -2.06954.\nAnswer: 8359376.93046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803*r - 5600*r + 111*r**2 + 2797*r.\nAnswer: 111*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6661, -6662, -6657, -6640, -6605, -6546, -6457?\n\"Answer: h**3 - 3*h**2 + h - 6660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3118*w**2 + 16*w - 3119*w**2 - 17*w - 135*w**3 to t*w**3 + u + m*w**2 + l*w and give t.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (-8 - -2 - -1) + 191 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (52\/16)\/(15\/12 - 1). Let o = -68 - -134. Suppose 3*g = 0, -g = 4*q + 14 - o. What is the highest common divisor of q and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*s - 46*s**3 - 63*s**3 + 1190*s.\nAnswer: -109*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 9*f - 2. Let s be i(-9). Let k be (-22)\/(-11) + s\/(-1). What is the second biggest value in -2, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 8. Let h(g) = 4*g - 1. Let p be h(v). Let q(m) = 2*m**3 - 21 + 21 - p*m**2. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -7*v**3\/3 + 31*v**2\/2 + 6*v. Let t be l(2). Solve -t*d = -y + 4, y + 4*d = 5*d + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 51\/94709?\nAnswer: 51\/94709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14808935 is divided by 7404436.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*4\/8 - 7. Let c be (6 + j)*(-2)\/(-6). Let 0 - c*i**2 - 1\/3*i**3 + 1\/3*i + 1\/3*i**4 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13034 by -343.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**9\/3024 + q**8\/840 + q**7\/840 + 2*q**3\/3 - 1. Let l(n) be the third derivative of x(n). Factor l(t).\nAnswer: t**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -771*l + 17372*l**2 + 1480*l - 709*l to p + u*l + x*l**2 and give x.\nAnswer: 17372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 17*i**2 + 69*i + 905. Determine u(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 12*g + 1. Let i be x(10). Let k = i + 39. Suppose -p = 4*p - k. Solve 2*f + p = -s - 2, 2*s - 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:32 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110508?\nAnswer: 2, 3, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(-77))\/(2610\/203))\/(1\/(-3))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y + 85*y = 4*d + 20, 5*d = 4*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*l**4 - 59*l**4 - 64*l**4 + (3*l**3 - 3*l**3 - l**3)*(27 + 2*l - 27) in the form x*l + u + y*l**4 + z*l**3 + b*l**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/30)\/(3\/36*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 16. Suppose -3*m - 10 = -58. Suppose 4*y = -4*z + m, -y = -5*z + 3*y + s. What is the second biggest value in 0, z, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68315447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1779, -3572, -5365, -7158, -8951, -10744?\nAnswer: -12537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10348058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25*l + 29. Calculate s(-10).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 5. Let g(m) = 5*m**2 - 3*m - 12. Let r(w) = g(w) - 3*s(w). Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*b - 438*b**3 - 18*b - 28*b + b**2 - 294*b**3 as r*b**3 + j*b**2 + x + c*b and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -398, -1408, -3392, -6674, -11578, -18428, -27548?\nAnswer: -39262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (875\/105)\/(20\/24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -204404534?\nAnswer: -204404540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16976758 to the nearest integer?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(320)*-2 + sqrt(320))**2 + -4 - sqrt(320)).\nAnswer: -32*sqrt(5) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 46*c**2 + 49*c + 27. Let p be l(-24). Suppose 3*g + 54 = 3*t, -t = -p*g + 7*g + 2. Is t at most as big as 152\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/9 + 9752*t\/3 - 233984\/9.\nAnswer: -(t - 29248)*(t - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 3*d - 1. Let i(p) = 10*p**2 - 18*p - 6. Let v(w) = 2*i(w) - 12*s(w). Let t(l) = -438*l. Determine v(t(h)).\nAnswer: -767376*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 34*w**2 - 11*w + 2. Let d be f(-11). Suppose -8*x + 274 = -3*x - 2*a, -d*x + 100 = 4*a. Are 219\/4 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.96. Let m = d - 0.14. What is the third smallest value in m, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32552 and 7512.\nAnswer: 97656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261017 less than 1260983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/46*128\/(-1248). Let y = l - 6\/23. Put -2, -6, 0.4, y in decreasing order.\nAnswer: 0.4, y, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -892*r**2 + 1794*r**2 - 895*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*4*(-15)\/80?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 11}. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 2 - (-1 + -85) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 3*x**2 - 4*x**2 + (0*x - 10*x + x)*(1 + 2*x - 1).\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 6*h + 3. Suppose x + 10 = 4*f, -x = 3*f - 2*f - 10. Let i be o(x). Let u = i - -7. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5862, -23454, -52768, -93792, -146514?\nAnswer: -210922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/(((w\/(w**(4\/13)*w))\/w*w)\/w)*w**(-22)\/(w**(-21)*w) assuming w is positive.\nAnswer: w**(-74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 31*m**4\/12 - 7*m**3\/3 + 7*m**2\/2 - 7*m - 12. Does 80 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-25)\/a)*a**39 assuming a is positive.\nAnswer: a**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390238.4ml to litres.\nAnswer: 390.2384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 658*c**3 - 314*c**3 + 2327*c**2 - 346*c**3 to y*c + h + q*c**2 + x*c**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/((-387350)\/(-7620))\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8310 = -15076*o + 14799*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3*k**8\/56 - k**5\/6 + 29*k**2\/2 + 19*k. Let v(a) be the first derivative of w(a). Find the third derivative of v(g) wrt g.\nAnswer: 1080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003755 rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*x - 60*x - 3*q - 29, 0 = 5*x - q + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 74 + 236. Suppose 35*h - 704 = f*h. Let q be 8\/(-4) - h\/(-4). What is the highest common factor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Suppose -d*m - m = -20. Solve m*i = -9 - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 323 = 5*t - 4*h, -75 = -t + 5*h. Solve -23*g = -10*g - t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h = 88 + 13. Let j be 7\/4*(-64)\/(-130). Let d = -6\/13 + j. Which is the closest to h? (a) d (b) -1\/2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 949*g**4\/24 - g**3\/2 + 60*g**2. Is j(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**0\/k)\/k*k**(6\/5)*k)\/(k**(-12)*k**(-4\/5)) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34303802 to the power of 1\/2, to the nearest integer?\nAnswer: 5857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrgrrrggrrrrgrrrg. What is prob of picking 1 r and 3 g?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 46, 47, 48, 49, 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 928220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/2970)\/(2\/8). Let k(h) be the first derivative of -y*h**3 + 0*h**2 + 0*h - 4 - 1\/22*h**4. Factor k(x).\nAnswer: -2*x**2*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15)*(8 + -2). Let o be (-3)\/r - (-39)\/6. Suppose 5*x + 10 = 0, -o*h - 4*x - 166 = 1342. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*s - 26 = 0, s = 28398*p - 28402*p - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Suppose -h - 2*h - 4*u - 4 = 0, -4*u = 2*h - 4. Let z be 0\/h - (-1 - -6). What is the least common multiple of 12 and k(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -6970677.\nAnswer: -2091203.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34112323 - -330?\nAnswer: 34113203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 3. Let m = -3 - z. Let j be 30000\/(-9)*m*-3. Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l**2 + 36*l + 60. Let j be p(-2). Is 15 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*z - 3 - 6, 3*i - 5*z = 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -x, 3*f - 2 - 4 = 0. Let c be x\/(-22) - (-2555)\/(-77). Let m = c - -54. Solve m = 2*p - 5*q, -3*p + 2*q = -7*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 1, m: 1, p: 5, w: 3}. Give prob of sequence cp.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 17, 32, 53, 80, 113?\n\"Answer: 3*w**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16008 and 91\/2784.\nAnswer: 64032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1114 and 12?\nAnswer: 6684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 26*l = 0. Put 1, 4, -2, l in decreasing order.\nAnswer: 4, 1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32785873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -1234901811.\nAnswer: 1234901809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*n + 16*n - 72 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -112*a + 1796. Give u(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 - 1 - 2*i**2. Let o = 119 - 125. Let k(c) = c**2 + 3*c. Let y(b) = b**2 + 2*b. Let h(t) = o*y(t) + 4*k(t). Give x(h(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(196)*-2 - sqrt(196)) + sqrt(196)).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*c**5 + 19980*c**4 - 26190*c**3 + 13020*c**2 - 2885*c + 240.\nAnswer: -5*(c - 48)*(3*c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7045498 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 265416580 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/2*z**2 + 1\/2 + 1\/2*z + 3\/2*z**3 = 0 for z.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 795 = -d, 4*m + 5*d + 144 = -492. Let w be m\/(-9) + (-8)\/(-24). Let n = 20 - w. Calculate the smallest common multiple of 11 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.4 + -14.4. Is 82 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:33 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -89.9. Let i = -24.28 - -24.08. What is the nearest to -1 in s, -0.19, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234911541?\nAnswer: 173, 7138217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**4)*k))**(-5\/12)\/(k**(-9\/4)*((((k**(5\/3)\/k)\/k)\/k*k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1023 + 34*u + 723 + 586 - 3155. Calculate o(24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*a**6 - 2*a**5 - 2*a**2 - 9?\nAnswer: -7080*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/30 - 17*l**4\/12 + 19*l**3\/6 + 6*l**2. Let u(m) be the first derivative of r(m). What are the prime factors of u(-15)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*q - 5 - 3 in the form w + a*q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 + f + 6. What is the tens digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245152?\nAnswer: 2, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 176. Let a = h - -71.99884. What is a rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11231501 + 906*q + 11231501)*(2*q - 4*q + 4*q)*(-2*q**2 + 4*q**2 - 4*q**2).\nAnswer: -3624*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than -5502365?\nAnswer: -5502386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 17. Put 0.3, u, -4 in decreasing order.\nAnswer: 0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 315*y**2 + 5427*y + 24057 = 0. What is y?\nAnswer: -297, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2083*p + 5202 = 2661*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 - -357. Put -0.02, -4, z, 0.2 in decreasing order.\nAnswer: z, 0.2, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7599328 nanometers in meters?\nAnswer: 0.0000000007599328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 plus 4937214.141?\nAnswer: 4937269.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 6*w**3 - 80379577 + 80379577.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 494*g**2*n**4 + 12*g**2*n**2 - 43*g**2*n - 4*n**5 - 2*n**2 wrt n.\nAnswer: 11856*g**2*n - 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from vdvvbdpbodxxxoppb.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208 (base 16) to base 8.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.585402 - 17683264.414598. Let q = f + 17683267.9999844. Let o = 8 + q. What is o rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -455 - -479. What is the remainder when 2 + 45 + (1 - 2) is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4 = 2*h, -5*h = -5*z + 3 + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**3. Let t be k(-1). What is the greatest common factor of t and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, -174, -503, -992, -1647, -2474, -3479?\n\"Answer: -a**3 - 71*a**2 + 45*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-18)*h)\/h**(-9\/2))**(-1))**(-2\/121) assuming h is positive.\nAnswer: h**(-23\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*n**2*y**2 - 2567*n**2 + 8*n*y**3 - 3*y**3 wrt y.\nAnswer: 10*n**2*y + 24*n*y**2 - 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*q**4 + q**3 - 20*q**4 + 60*q**4 - 26*q**4 + 48*q to the form w*q + z + s*q**4 + k*q**3 + m*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24020, 48577, 73110, 97607, 122056, 146445, 170762, 194995?\nAnswer: 219132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9872.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 1, c: 3, y: 3, m: 5, x: 1}. Give prob of picking 2 m, 1 w, and 1 c.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 23, 1 in decreasing order.\nAnswer: 23, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 1. Let b be r(-3). Let h = b + 17. Let j = 106 - 76. Calculate the highest common divisor of j and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(252) + 4 + 4*(sqrt(252) + 1))*6 + 4*(sqrt(252)*-3 - sqrt(252)) + -3 + 2 + sqrt(252) + sqrt(252))**2.\nAnswer: 2160*sqrt(7) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/15*(-3)\/((-36)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 727798.2 days?\nAnswer: 62881764480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -13, 13\/3, -101?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3825721\/1700324 + 2\/425081. Let -3\/4*b**3 + 0*b**2 + y*b - 3\/2 = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0*p**2 + 4\/345*p**6 + 1\/483*p**7 + 8*p + 1\/69*p**3 + 0 + 2\/69*p**4 + 3\/115*p**5. Determine u so that b(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, 60\/11, 85, -6?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-37918903)\/(-344751) - (110 - 0)\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1809 + 1808)*(1*4 - -1). Sort 82, -3, h, -11.\nAnswer: -11, h, -3, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r + 2. Suppose 0 = 4*c + 5*u - 215, r*u + 274 = 5*c + 3*u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-5 + 19 + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 - 10\/15*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8441, -7410, -6379?\nAnswer: -5348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8384 and 655.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/((d*d*d**(2\/35))\/d)*(d\/(d*d**(1\/37)))\/(((d\/(d*d**(-2\/7)))\/d)\/d) assuming d is positive.\nAnswer: d**(-17314\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/873, -0.1, -1868, 9?\nAnswer: 2\/873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28154*(-5 + 7)*1\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1 (b) 1891 (c) 21\/2 (d) 0.5 (e) -3.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 154. Let x = s + -29. What is the tens digit of (6\/(-10))\/(6\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 5*x**2 + 8*x + 7. Let n be m(-6). Let i be (288\/10)\/(56\/(-120)). Let w = i + 62. Which is the nearest to w? (a) 5 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.58 + -7.58. What is the fourth smallest value in t, -19, -1, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1248 and 7566247.\nAnswer: 726359712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (46 - 36) + (8 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -14175?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -4\/9*h**4 + 2\/45*h**5 - 141 + 0*h - 10\/9*h**2 - 38\/27*h**3. Let y(p) = 0. Calculate p.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 713 = -123*q. Suppose -2*m + 142 = -12. Calculate the greatest common factor of q and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1453469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 + 52*z**2 + 10.\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(24\/5)\/2. What is the greatest common divisor of q and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921532.\nAnswer: 2, 3, 243461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 128989.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or -421\/4?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**7\/24 - 5*j**6\/12 + 9*j**5\/8 + 25*j**4\/12 + 221*j**3\/3 + 52. Let z(n) be the third derivative of f(n). Factor z(s).\nAnswer: -5*(s - 1)*(s + 5)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -8*l**3 - 806*l**2 - 2150*l + 588 = 0.\nAnswer: -98, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -68797*p + 619326. Determine x(9).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -15996, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18066 - -24432. Calculate the greatest common factor of 30 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 768 - 763. Which is the second smallest value? (a) 8 (b) q (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*f**2*i + 573*b*f**2 + b*f + 2*b - f**2*i - 2*f - 11635*i wrt i?\nAnswer: b*f**2 - f**2 - 11635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:54 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*(sqrt(77) - (sqrt(77) - 2*sqrt(77)))*-4)\/(sqrt(567) + sqrt(567) + sqrt(567)*1*5)*-4)**2.\nAnswer: 41087\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {x: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:57 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(2\/11))\/(i**(1\/2)\/i))**(-40))**(-5\/6))**24 assuming i is positive.\nAnswer: i**(11600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 - 6*o. Let g be v(5). Let t = g - -7. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(3*sqrt(396)).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from epee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34597.51723 less than -0.06?\nAnswer: 34597.45723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (14 + (-1 - -21) - -11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.46 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 17*v - 18. Let a(m) = -2 + 22*m - 2 - 21*m - v + 0*m. Let u(i) = -2*i**2. Determine a(u(c)).\nAnswer: -2*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1771 (base 12) to base 2.\nAnswer: -101100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3137948 and -109\/66.\nAnswer: 9413844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05008 + 0.08008. What is the nearest to -2\/15 in r, -2, 4, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 6219*k**2 - 9*k - 1847 wrt k?\nAnswer: -6*k + 12438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.7 + 34. What is the third smallest value in 31, u, -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 18, 0, -0.16, 0.1, -0.4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9947?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + y**4 - y**3 + (-2*y**4 + y**4 + 2*y**4)*(-3 + 5 - 1) to the form z*y**2 + x*y + i*y**4 + c + t*y**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.77663 to two dps.\nAnswer: -56.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-60))\/(92\/207).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w - 47. Let x be k(-8). Solve 8*o = x*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -475.9414 to zero dps.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 + 4*t**2 + t. Let j(i) be the first derivative of -i**4 - 5*i**3\/3 - i**2\/2 + 43. Give 4*j(x) + 5*m(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 5*y = -20*f + 17, -26 = 3*f - 4*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = -4*m + 46, -a - 2 = -3*m. Suppose 3*l + a = 8*l. Solve 18*j**4 - 5*j**l + 22*j**3 - 2*j + 9*j**2 + 2*j = 0 for j.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33258, 66415, 99572, 132729, 165886?\n\"Answer: 33157*m + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1420?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 41 = -4*i, 4*p = -2*i + 20 - 4. What is the greatest common divisor of i and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7512?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let m = -0.0277 + -0.9723. What is the fourth biggest value in 3, 0.02, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -21440?\nAnswer: -21442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose -4 = -v - s. Solve -v*z = -4 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625 + 261 = 31*t for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -32, 1 in decreasing order.\nAnswer: 19, 1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21045 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: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from kdkkdkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-35) + 176898\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514082271.\nAnswer: 3, 293, 584849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (99\/60)\/((-3465)\/39875) - -19\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114819 is divided by 14686.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007 + -0.007000896. What is g rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:58 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570050.\nAnswer: 2, 5, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*a**3 + 4*a**2 - 4*a**2 + 227 - 84 wrt a.\nAnswer: 462*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = d + 3*w, 0 = 4*d - 5*w - 21 - 17 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.28468 weeks to seconds.\nAnswer: 50370574.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g + 62. Let l = 91\/3 + g. What is the third smallest value in -1\/5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718506473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/152 and 47\/8094?\nAnswer: 32376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (152\/380)\/((-2)\/55)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5))**16 assuming n is positive.\nAnswer: n**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 4:11 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22576, -1, -3, -0.69.\nAnswer: -22576, -3, -1, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-3)*(-4)\/(-5). Let b be 2154\/(-8) + 3 - (-1)\/4. Let u = b - -269. What is the closest to -2 in u, 2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010101 (base 2) to base 9.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 210, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4476.74t?\nAnswer: 4476740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242 - 3091\/8. Let u = v - -145. Find the common denominator of 97\/2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/62 - 6100\/3100. Let q = 1 + 2. Which is the second biggest value? (a) r (b) 2\/3 (c) q (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.0089 nanograms in micrograms?\nAnswer: 0.4650089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - j + 209 - 42 = -26, 0 = -3*v - 3*j + 75 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*c - 7. Let s(t) = t**3 + 4*t**2 - 6*t - 2. Let u be s(-5). Suppose 55 = c*j - u*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27850 and -27852 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*w - 6, -2*q - 5*w + 10*w - 9 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*h - 249*h + 495*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/161 - (-564363)\/(-30222)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -b = -5*j + 36, j - 9 = -b - h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93705.\nAnswer: 3, 5, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/4 + (-1 - -4). Suppose 0 = 5*l - 11 - k. Solve 5*m + 35 = 3*q, -5*m - l*q = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 63*t**2 - 3911*t - 160. Give b(62).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(1 + 1 - 1)*(-433 + 121*r + 433) to w + c*r and give c.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u = -44*u - 475. Suppose -u = 8*b + 173. Let o = b + 83. Calculate the highest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3250 - -3252. Solve -i + q = 4*c + c, 2*c + 5*i - 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122298407 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -102 in ascending order.\nAnswer: -102, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8909, -18527, -28137, -37739, -47333, -56919, -66497?\n\"Answer: 4*u**2 - 9630*u + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123162027 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -59. Solve 5*k + y = 3*w, 2*k = -2*w - 3*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 337\/5 or 67?\nAnswer: 337\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myyu when four letters picked without replacement from mmumjmyymmmmm.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - (2 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -5\/12*z**4 - 5\/2*z**3 + 14*z - 5*z**2 + 12. Let c(q) be the first derivative of b(q). Factor c(y).\nAnswer: -5*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*k = -154*k + 201*k - 46415326. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 126.96. Which is the smallest value? (a) -2 (b) -4 (c) z (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/2 - 14557*n**4 + 212226181*n**3\/2 - 2328043672*n**2 + 4337806298*n - 2115861160 = 0 for n.\nAnswer: 1, 20, 14546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00080514475 to 6 decimal places.\nAnswer: -0.000805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6201 and 41\/795.\nAnswer: 31005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-4)\/(-16)*4. Let l be 20\/(-8) - (-5 + 7 - 2). Sort -7, l, z in increasing order.\nAnswer: -7, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5) + -1 + sqrt(5) + -1 + sqrt(5)*1)**2.\nAnswer: -36*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -3\/58, -2, -5 in decreasing order.\nAnswer: -3\/58, -2, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546506*n - 546452*n + 1092948*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -36584, 4, 1, -2 in increasing order.\nAnswer: -36584, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*o**4 - 9*o**2 + 0 + 15*o - 27\/5*o**3 = 0. What is o?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 9*a + 9*a. Suppose 0 = o + 3*z + 5, a*z - 2*z = 4*o - 10. Solve 2*m = 4*j + o, 4 - 2 = m + 3*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*n**3 + 282*n**3 - 133*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 49 + 517. Find the first derivative of -38 - b*d + 61*d + 57*d wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38 + -10.38. Let g = d - -10.5. Put 1, g, -0.1 in increasing order.\nAnswer: -0.1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + d**3 + 5*d**3 + (-1 + 3 + 0)*((d - 6*d + 2*d)*(-1 - d**2 + 1) - 7*d**2 + 7*d**2 - 11*d**3) + 0*d**3 + 5*d**3 - 4*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-5)*(-6 + 1). Suppose 3*x - m - 24 = 0. 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 next in 16, 66, 120, 178, 240, 306?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from vffvvfvvvvffv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 2*s**4 + 46*s - 82*s - 4 + 11 + 44*s in the form x*s**2 + q*s**3 + v + k*s + p*s**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27*n + 1 + 54*n - 18*n + 0. Let y(p) = p**3 - 9*p**2 + 16*p - 15. Let s be y(7). What is z(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754163612 to the nearest integer?\nAnswer: 27462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 3. Let s be b(5). Suppose 7*q - 4*q = -2*t + 21, 2*t - q = 25. Let i = t + s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(9 - 1)\/4. Let g = n - -31. Suppose 4*t = h + 523, 4*t - 4*h = 352 + 156. What is the greatest common divisor of t and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*(-28)\/136*(-7)\/(294\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -16 + i**3 - i**2 - i - 12 - 13 + 38. Let d be j(0). Let w(r) = 3*r + 4. Calculate w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(945\/12)*17\/(4488\/55).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1888904 or -4\/3?\nAnswer: -0.1888904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166 and -6.5.\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Let w(v) be the first derivative of -67*v**2\/2 - 142. Calculate w(f(b)).\nAnswer: 134*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.4 + -12. Let o = c + 0. What is the closest to 0.1 in o, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 3*m**2 + 2*m**2 + 4*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12400 + 4?\nAnswer: 12404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Let g = -9 + 14. Let w(m) = -m**3 + 5*m**2 - 6. Let c be w(g). Let d be 2\/c*(-30)\/(-5). Calculate a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 241852?\nAnswer: -5\/241852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -1)*(-499)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(110\/8)*4\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-1 - 0) + -1). Let f = 1 + b. Suppose 12*s = 13*s + 4. Sort -1, s, f in descending order.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1303427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let g = -1 - i. Is 51 + -1 + 0 + g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*p + 81*p = 4*y - 7*y + 42, 0 = -p + 4*y - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.04411354?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/24 - x**4\/6 - 2*x**3\/3 + 4*x**2. Let w(c) be the first derivative of s(c). Is w(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 23155*y**3 + 23152*y**3 - 79*y**2 + 8*y**2 + 11*y**2 + 50*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12616217?\nAnswer: 131, 193, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxm when three letters picked without replacement from {g: 2, m: 9, x: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 20, 61, 118, 191, 280, 385?\n\"Answer: 8*h**2 + h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 < -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5118, -5113, -5108, -5103, -5098, -5093?\n\"Answer: 5*k - 5123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 64. Let n = -16781 - -16837. What is the remainder when n is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 4456603*i - 4456603*i - i**3 + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638945.1159 rounded to the nearest one thousand?\nAnswer: -1639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + l - 6*l + 183*l - 32*l + (0 - 2*l + 0)*(1 - 1 + 1) + 2*l + 2*l - l.\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 231324731\/92370 - 254\/9237. Let w = g + -2512. Calculate the common denominator of (17\/(3910\/90))\/(3 + -4) and w.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3.94. Let g = 0.06 - t. Sort g, -4, -2\/11.\nAnswer: -4, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:36 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 307 and 93697321.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Let j be 2 - (-22 + 1 + 0). Suppose -j = -f*a + 32. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78718986 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(10)\/sqrt(2))*1*2.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.489975 milliseconds in hours?\nAnswer: 0.0000184694375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-44))\/((-30)\/40). Let k be 4\/26 + (-1 - -1). What is the closest to 2 in -0.3, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 348, 342, 324, 288, 228, 138, 12?\n\"Answer: -n**3 + n + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 20. Suppose 3*t + 3*u = -14 + 2, -4*u - 4 = 0. Let z(f) = 6*f - 2*f**2 + 0*f - 3*f. Let w(x) = -10*x**2 + 16*x. Determine q*z(k) + t*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**3 + 9*k**3 + 8*k**3 + (4*k**2 - 3*k**2 + k**2)*(0 + 6 - 4)*(2 + 2*k - 2).\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14*(10\/4)\/5. Let t(p) = p**3 + 8*p**2 + 4*p + 1. Let v be t(r). Suppose -v = -5*c + 3*c. Calculate the least common multiple of c and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-1 + 18020\/6)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30746973541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 5*l**2 - 3*l**2)*(12*l - 6*l - 28*l)*(3*l - 7*l + l) + (-4*l**2 + 2*l**2 + 3*l**2)*(3*l**2 - 2*l**2 + 0*l**2).\nAnswer: 397*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*v**2 - 80\/7*v + 0 + 2\/7*v**3 = 0. Calculate v.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5710 or -443?\nAnswer: 5710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 1099 - 1127. Let h(j) = -11*j**3 - 7*j**2 - 2*j + 5. Let o(f) = -5*f**3 - 3*f**2 - f + 2. What is t*h(s) - 9*o(s)?\nAnswer: s**3 - s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109.98868 + -110. What is x rounded to 4 decimal places?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 8 + 0 + 5*u)*(11157 - 11157 - u**3 - 36*u**4).\nAnswer: -72*u**5 + 286*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 97 = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1)\/(11\/((-1210)\/70))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16614\/1420*(-20)\/(-15)*(-5)\/(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + m - 4*m - 6, -3*p + 3*m + 6 = 0. Let f(k) = -5*k + 2 + 3*k + k + 0*k. Let h be f(p). Solve -h*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 36 - 4*s**2)*(-4*s**2 + s**2 + s**2).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-736) + 558\/69.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41725707 (b) -2\/5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(88)\/(sqrt(32)\/sqrt(4)) - sqrt(88)\/(-1*sqrt(648)))**2.\nAnswer: 100*sqrt(11)\/9 + 3125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 < -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**(-3\/4))*w))\/w)\/((w*w\/(w**(-1\/3)\/w*w))\/w))**(14\/9)\/(((w*w*w*w**(1\/3))\/w*w**(-2\/3)\/w)\/(w**2*w*w*w**2)) assuming w is positive.\nAnswer: w**(155\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.2317*3.\nAnswer: 69.6951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, 0.5, 1, 1\/63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1086 and -35\/724.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -42. Let p = x - -25. What is the second biggest value in -0.1, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 391, 361, 315, 253?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzrr when four letters picked without replacement from zzzrrzrv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*c + 2 - 16*c - 6*c to the form x + r*c and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 113*t**7\/42 + t**6\/30 - t**4\/2 + t**3\/6 - 8*t - 14. What is the third derivative of a(x) wrt x?\nAnswer: 6780*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5. Let h be v(0). Suppose 2*t - h*d - 6 = 0, 4*t - 14 = 5*d - 12. What is the third biggest value in 4, t, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**5 - 186022769*x**3 + 234*x + 958733.\nAnswer: -40*x**3 - 1116136614*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(2\/41)\/x*x)))\/(x*x*x**(-7)\/x) assuming x is positive.\nAnswer: x**(248\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4371.2 - -4371. Sort -1.29, x, 10.\nAnswer: -1.29, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39606096 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 2*l = -248, b = -4*l + 298391 - 298405 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1212*k + 8697. Calculate x(7).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-30)*(35\/2 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**3 - 22*t**3 - 14*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874010 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*x + 2 + 1, -2*n - 3*x - 10 = 0. Let l(j) = 24*j**2 + 1. Let v be l(n). Suppose v = 4*h - 35. Solve -2*s + h = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -52. Suppose 3*i - 5*m - 27 = 0, -2*i = -2*m - 14 - 0. Is o >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831573 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1744.352km?\nAnswer: 1744352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*p + 15420 = 0, d - 1468 - 1610 = 5*p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 12. What is the remainder when 59 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14266*-15.\nAnswer: 2.1399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -7. Put b, -2, -4 in increasing order.\nAnswer: -4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 4 - (-5 - -8). Let t = 3 + 1. Put -3, t, 1, y in ascending order.\nAnswer: y, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 249969 - 32448 = -4*s, 282381 = p - 5*s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*i**3 - 4*i - 2 + 215*i**3 + 5*i**2 + 87*i**3 - 2*i**2 in the form n*i**2 + t*i**3 + s + z*i and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -12. Suppose -2*w + 2*n = -2*n, 2*n = -2*w + v. Suppose -378 + 51 = -r + j, 0 = w*j + 16. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -59*q**2 + 5. Let m(d) = -30*d**2 + 2. Let w(x) = -3*i(x) + 5*m(x). Does 21 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25958 at most as big as 5033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*z + 1 = 4*z, 3*s - 2*z + 3 = 0. Let q be ((-35)\/(-25) + -3)*7\/14. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-112*d - 32*d - 37*d)*(1 + 1 - 1) to z*d + i and give z.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/4)*f)\/f*f**(-4))\/((f*f**(-5\/6))\/(f**4*f)) assuming f is positive.\nAnswer: f**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 214?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*n**3 - 423*n**3 + 0*n**2 + 2*n + 0*n**2.\nAnswer: -265*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + -7 + 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-460)\/(-60))\/(3\/1089). Suppose 3*k + c = 5*f, 739 = f - 2*k + 188. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:23 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -21935*x. Let q(b) = 174*b**2. Calculate q(y(c)).\nAnswer: 83719095150*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:08 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219 - 218) + 16\/(-15) + 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(3\/20)*(b**8\/b)\/b*b**(1\/11)\/b*((b*b**(-1\/11))\/(b\/((b*b\/(b**(-4)\/b)*b)\/b)))\/(b**(-3\/5)\/b*b**(2\/11)*b) assuming b is positive.\nAnswer: b**(1399\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178 = 544*j - 13514 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) 1\/5 (d) -6.28 (e) 1\/9373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 5*t - 2*t**2 + 7*t**3 - 5*t**3 to w*t**3 + d*t + s*t**2 + c and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2787 <= -2792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181513 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-15*2\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -395.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340253 is divided by 11358.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/377 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose 3*y + p*b + 5 = -0, 3*y + 15 = 3*b. Is -2 + y\/((-3)\/34) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**0\/j)\/j)\/j)\/j)**(1\/9)*(j\/(j*j**(-1\/2)\/j))\/(j*j*(j**(-2\/9)\/j*j*j)\/j) assuming j is positive.\nAnswer: j**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1491, -1489, -1479, -1455, -1411, -1341?\n\"Answer: g**3 - 2*g**2 + g - 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5*u + 4. Let j(x) = x**2 - 11. Let i(w) = -9*c(w) - 4*j(w). Let h = 3 - 2. Give i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784*w**3 - 1 + 780*w**3 + 1.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.6 - 52. Let o = r - 14. Which is the smallest value? (a) -0.4 (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 215470, 215467, 215464, 215461, 215458, 215455?\n\"Answer: -3*d + 215473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 8*a - a)*(16 - 4 + 1)*(-2*a + 0*a - a).\nAnswer: -156*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*f - 2*n, 81*f - 5*n = 78*f + 3 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*y - 57 - 35, 5*g - 215 = 5*y. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(156)\/(sqrt(108)*1 - sqrt(108) - sqrt(108))*2.\nAnswer: -2*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.8 - -48. Put 1\/3, 3, -7, b in decreasing order.\nAnswer: 3, 1\/3, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -2, -4 in decreasing order.\nAnswer: 111, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8867610 (base 9) to base 16\nAnswer: 48c474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (228\/16)\/3. What is the closest to y in 0.4, -5, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**8\/336 + u**7\/30 - 13*u**6\/120 - u**5\/20 + 3*u**4\/4 + 122*u**2. Suppose m(h) = 0. Calculate h.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-3))\/11*(-8)\/10*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -37. List the prime factors of ((-20)\/50)\/(c\/610).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 - 6*t + 6. Does 26 divide u(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**3\/3 - 5*q**2 + 60*q - 72. Does 27 divide a(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 + -2)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let j(a) = -8706294*a - 3. Calculate j(o(t)).\nAnswer: -17412588*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 7*k - 4. Suppose 3*z - 3*i - 7 - 17 = 0, -2*z = 2*i. What is w(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three quarters of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11017 is divided by 2201.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -l. Let w be -4 + 2 + 2\/l. What is the first derivative of -3 + w + 5 + 2*s**2 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/10)\/((-4)\/(-430)). Suppose -3*n + 229 = -v. Suppose 71 = 5*b + 2*f, 4 = -4*f - 4. What is the highest common factor of b and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i**3 + 5*i**2 - 8*i**2 + 3*i**2.\nAnswer: -161*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - q - 3. Let y(o) = -5*o**3 - 2*o - 7. Let d = -4 - -3. Let t = 2 - d. Let m(v) = t*y(v) - 7*p(v). Find the second derivative of m(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -198703, -397329, -595955?\n\"Answer: -198626*i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 1 - 5. Let h(b) = 8*b. Let l be h(o). What is the highest common factor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/((-6885)\/(-30))*((-49)\/(-42))\/(2\/(-378)).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270663197 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4186989*h**3 - 2311548*h**2.\nAnswer: -25121934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779037 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18276 and -23\/8526?\nAnswer: 25970196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118, 600, 1404, 2530?\n\"Answer: 161*o**2 - o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16341952 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 52*p + 6. Let v(j) = 103*j + 13. Let o(m) = -7*d(m) + 3*v(m). Let a be o(-2). Suppose -3*x = 32 - a. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 + 13*h. Let c(g) = 2*g**3 - 9*g**2 + 27*g + 1. Let x(z) = -3*c(z) + 7*k(z). Let q be x(7). Suppose -y + 203 = -q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 5, k: 7, f: 3}. Give prob of sequence fze.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c**3 + 46*c**3 + 10*c - 2*c - 6*c**5 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(sqrt(8)\/sqrt(4)))\/(sqrt(3) - (sqrt(300) - sqrt(300)*2)))**2 - (-1*sqrt(117)*1)\/(6*-1*sqrt(9)).\nAnswer: -sqrt(13)\/6 + 13\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3055 + 3055.02518. Round c to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q - 8381680 = -55*q + 24*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:59 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1258\/(-37)*1\/12)\/(3\/(-18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) -756\/11 (d) 39\/7 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*y**3 + 10*i*y + 135*i wrt y.\nAnswer: -3*i*y**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-63) - (4 + 22\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 + i - 3. Let n be r(5). Suppose -200 = u - m + 4*m, n*m = -3*u - 607. Let q = -54 - u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**3 - 4*f**3 + 33*f**3 + 0*f**3 - 4*f**3 + 2*f**3 + 0*f**3 + 3*f**3 - 6*f**3 + (f - 2*f + 0*f)*(2*f**2 - f**2 - 2*f**2).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -0.03249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5, 5*t - 3*w + 74 + 51 = 0. Let n(c) = -c**3 - 21*c**2 + 22*c + 17. Let l be n(t). Solve -3*a = f + f + 21, -l = 4*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k - 2. What is the remainder when l(-2) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176)*-4*2)**2 + sqrt(176) + sqrt(176) - (sqrt(396) + (sqrt(396)*1)**2 + 2).\nAnswer: 2*sqrt(11) + 8226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.47 - 0.53. Let a = 36 + m. What is the fourth biggest value in -1, 0.3, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65199, 65198, 65197, 65196?\n\"Answer: -k + 65200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:19 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2\/(-19)) - 0. Let x = m + 23. Solve h + o - 6 = 4*h, x*o = 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) + (sqrt(95) - 1*sqrt(95)*2) + sqrt(95)))\/(sqrt(20)*-3*3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15066, 15061, 15052, 15039, 15022?\n\"Answer: -2*k**2 + k + 15067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112122 (base 3) in base 14?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4742, -2\/65, 8 in increasing order.\nAnswer: -2\/65, 8, 4742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28002 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 + u**2 + 7*u + 2. Suppose 0 = 26*g - 48 + 152. Is s(g) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 19. Let w(n) = -n**2 - 6*n. Suppose -2 = 3*p - 8. Let a(m) = m**2 + 5*m**p + 8*m + 3*m - 4*m**2. Determine y*w(r) - 6*a(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 59\/2. Let a = -1170 + 1103. Let g = a - -66.8. What is the third smallest value in -2\/7, g, 7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16905 and 485737.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 1955730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -7*f. Let l be f\/(-1)*3*(0 + -1). Let b(y) = y**2 + y + 2. Let m(j) = -5*j**2 - 2*j - 6. Let h(d) = -6*b(d) - m(d). What is h(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18279 is divided by 95?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((5*4*sqrt(20))\/sqrt(4) + 1 - (2*(sqrt(320) - ((sqrt(320) - (sqrt(320) - (sqrt(320) + 0))) + sqrt(320) - sqrt(320))) + -1)))**2.\nAnswer: 720*sqrt(5) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*p - 337 - 37 = 0, 0 = 4*p + 8. Let c = 98 - l. Let n(z) = -z**3 + 4*z**2. Calculate n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 81, -69, -4, 20 in decreasing order.\nAnswer: 81, 20, 4, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 706*i**3 - 27*i**2 - 706*i**3 + 45*i**6 + 25*i**2 + 360*i wrt i.\nAnswer: 5400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 3, -2024, 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -2623126?\nAnswer: 2623136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let v be (2\/z)\/(6\/27). Suppose 1 - 7 = g + v*i, 3*g = -4*i - 8. Solve m - 4 = -g*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 - 55 - (0 + -3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, -17 in ascending order.\nAnswer: -17, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/2*8\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226353 is divided by 113175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.559 - -0.141. Round u to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) -0.5 (c) -5 (d) 729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4647 divided by -11543\nAnswer: -4647\/11543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9673096.\nAnswer: 2, 109, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666 - 223 + 278 = 98*m - 1239 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 + 12728*z\/9 + 25528.\nAnswer: -2*(z - 6382)*(z + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 2\/5, -60, -7.1, -4.\nAnswer: -60, -7.1, -4, -0.2, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:58 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/3))**(1\/3) assuming i is positive.\nAnswer: i**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1114*p - 3. Let f(c) = 5576*c + 14. What is 6*f(y) + 28*g(y)?\nAnswer: 2264*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149*q + 389*q + 4530*q.\nAnswer: 6068*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - -128 - ((-21 - -3) + 31)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-2 + 0 + 4)*(75*f - 25 - 8 + 32) to the form b + m*f and give m.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 26*z**2 + 0*z + 43*z**2 to p*z + l*z**2 + g and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -l + 14, 2*p = 5*l - 4 - 0. Suppose l*z + 4 = -8. List the prime factors of (2\/z)\/(2\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 121 = o - 17, -4*o - 119 = -5*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (196\/36 + -6)*(1 - (-301)\/(-70))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 1, a: 2, r: 1, x: 1, w: 2}. What is prob of sequence aw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, 1 y, and 1 v when four letters picked without replacement from {e: 1, r: 3, b: 1, y: 1, v: 2, n: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a + 114. Let r be g(-8). Solve 27*f + 83 = r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(70)*1 + sqrt(70))\/sqrt(10) - (sqrt(84)*-1 + sqrt(84) - sqrt(84))\/sqrt(12))*2.\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9534 - -209699\/22. Let m = -79\/2 + 51. Find the common denominator of m and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 2*v. Let q be j(2). Let r be (q\/(-7))\/(2\/7). Find the second derivative of -4*z**r + 8*z**4 + z**4 - 5*z wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*u + u + 4, 4*a + 20 = -4*u. Let n be (1 + a + 2)*-1. Let c(y) = 5*y**2 - y - 1 + y. Give c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -341*k - 8. Let c be p(-3). Suppose -m - 5*j + c = 0, 2006 = 2*m - 2*j - 0*j. Let t be -4*(-6)\/((-18)\/m). Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/121 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.388608 to two decimal places.\nAnswer: -5.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/77250 and 101\/168.\nAnswer: 2163000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -31020001130?\nAnswer: -31020001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 18*a**2 - 3*a - 17. Let o be s(-9). Solve -j - 4*q = 3, 2*j = 4*q + o - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82 to 2 dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/10*11\/(-44)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 103*x + 1691. Let y(d) = -20*d - 1. Give -r(a) - 5*y(a).\nAnswer: -3*a - 1686","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98225161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, d: 10}. What is prob of sequence pddd?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*i*z + 72262638*i + 297451*z wrt z.\nAnswer: 19*i + 297451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 - 9.7. Let h(w) = -w + 4. Let c be h(3). Suppose 2*j - c + 3 = 0. Is g at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973.49 less than or equal to 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 2*m + 1. Let n be g(2). Let x = -501 + 508. Suppose x*p = 24*p. Solve p = -n*j + 5 + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*n + 5 = 7*w, -5*n = -2*w + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -2\/13, 2\/15, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.774 - -0.914. Let l = -1.86 - z. What is the second biggest value in l, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.7. Let t = -89 - -94. Let r = -0.01 - -0.41. Which is the nearest to m? (a) t (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189.4 + -206.4. What is the nearest to -6 in -2\/13, w, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooojyjmxyyyyyjmypo. What is prob of sequence xpoy?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z - 4. Let d(g) = 24*g + 6. Let p(f) = 15 + 12 + 16 - 19*f - 63 + 15. Let l(i) = -4*d(i) - 5*p(i). Calculate 3*l(c) + v(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 - 21*y - 34. Calculate h(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 + 2*a - 3. Let n(h) = 2*h**2 + h - 3. Let b be n(-3). Suppose -6*k + b = -3*k. Calculate c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2. Let i(j) = -37*j**2 - j. Give i(g(w)).\nAnswer: -2368*w**4 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 4. Let i(b) = -b**2 - 12*b. Is 12 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 20. Let a be 3\/(-6) - n\/(-6). Let q = -452 + 450. Put q, a, -2\/9 in descending order.\nAnswer: a, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:14 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 27, 1 in descending order.\nAnswer: 27, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -133376?\nAnswer: -17\/66688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - b + 4*b. Let n(l) be the first derivative of l**2\/2 + 1. Determine n(r(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1577.\nAnswer: -1\/1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 2*a + 4. Let o be w(-1). Suppose -192 = i - o*i. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7113 is divided by 2349?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123, 122, 119, 114?\n\"Answer: -m**2 + 2*m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78, -151, -230, -321, -430, -563, -726?\n\"Answer: -l**3 + 3*l**2 - 75*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-72) + (-8)\/(-36). Suppose -3*c = 2*c - 10. Suppose -s = -0 - c. Put a, 3, s in ascending order.\nAnswer: a, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 4. Let i be t(-2). Suppose 3*x = x + i. Which is the second biggest value? (a) x (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 14*c**2 - 2*c + 30. Let b be -1*14*(-7 + 6). What is o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqr. Give prob of sequence qr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/246 and -7\/45.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(343).\nAnswer: -14*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -4433511?\nAnswer: -4433507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8484662277 to four decimal places.\nAnswer: -0.8485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 362989 (c) -2\/3 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 24 = -6. Let s be (1\/(-5))\/((28\/4)\/(-35)). Is (-4 - g)\/(-5)*(-784 - s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(2583 - 4460 + 5607)*(3*q**2 + 0*q**2 - 5*q**2).\nAnswer: -22380*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -2.8. Which is the nearest to -1\/4? (a) s (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -160855*z**4 - 401827?\nAnswer: -643420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 10*a + 10. Let l(j) = 2 + j - 2*j + 22 + 4. Let y be l(20). Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**9\/c)\/c)\/c)\/c)**(-1\/67) assuming c is positive.\nAnswer: c**(-5\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = w - 10, -w - 6 = -0*w - 5*y. Suppose 7*v + 52 = 3*k + 3*v, 0 = w*k - 2*v - 86. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 24\/(-6)) + 906.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13164*z**2 + 6699.\nAnswer: 26328*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6147684717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -829, -2037, -3769, -6019?\nAnswer: -8781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/32 + (-2)\/(-4). Let m(w) = -a + 3 + 3 + 4*w**2. Let z(r) = 11*r**2 + 5. Calculate 8*m(q) - 3*z(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59\/4 of a day?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144192178899 + 144192167824.8059699. Let m = 11074.4 + k. Let c = -0.206 + m. Round c to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-5) + 0\/(-3). Let q(v) be the first derivative of v**3 - 3*v**2\/2 + 2*v + 187. Give q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 11*p + 6. Suppose 11 = 2*m + 3. Let f be (1\/(-2))\/((-2)\/m). Sort 4, f, p.\nAnswer: f, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 38. Suppose -n + 4 = -0. What are the prime factors of -4 - (n*-6 + u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7 - 3 + 0 + 211430*q. Let c be b(7). Suppose -o - c = o. What is o rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 1. Let s(f) be the second derivative of -3*f**5\/20 - 7*f**4\/12 + 7*f**2\/2 + 130*f + 4. What is 5*p(m) - s(m)?\nAnswer: 3*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 + 25?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3172512l to millilitres.\nAnswer: 317.2512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {y: 2, m: 4, t: 4, e: 1, q: 1, k: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - r**3 + 3 - 8 + 3. Let i(c) = 11 + 7*c**2 - c**3 + 3*c + 4*c - 1. Let g be i(8). What is t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191007 (base 11) in base 4?\nAnswer: -1013310032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 9\/2*u**2 + 7\/3*u**3 + 0*u + 8. What is the second derivative of z(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 16*g**2 + g.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*l - 1 = -4, 0 = 3*c - 4*l - 25. Let u(i) = -2*i**2 + 5*i**2 + 4 - 4*i**2 + i**c. Give u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let s(p) = -6*p - 3. Let h(m) = -4*l(m) - s(m). Let j(q) = 7*q - 5. Let c(i) = 8*h(i) - 3*j(i). Let k(b) = 6*b - 8. Give 5*c(x) + 4*k(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 43, -5, -8, -48.\nAnswer: -48, -8, -5, -2, 39, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -14.9. Let y = f + 0.9. Let p = y - -10. Is p smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-16 - -1 - -18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 19920.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s + 316 + 423 = 435 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvmytbq. What is prob of sequence tqyq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -157. Suppose 3*w + b = 10*w. Let f = -11 - -15. Calculate the remainder when w is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1902 and 2514.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260.0503 + -0.0503. Let k = m + -260.0355. Round k to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 578 - 357. Let u = -221.5 + c. Put 5, u, -5\/2, 3 in decreasing order.\nAnswer: 5, 3, u, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1148139, 2296060, 3443981?\n\"Answer: 1147921*i + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*w**2 + 2 - 3*w**2 - 5)*(2*w - 3*w - 5*w).\nAnswer: -258*w**3 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let v(f) = -1. Let c be (-1 - 4\/1) + 6. What is c*b(h) + v(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g**2 - 65*g + 56. Let p(m) = -31*m**2 + 131*m - 111. Let i(y) = -7*h(y) - 4*p(y). Factor i(c).\nAnswer: (c - 13)*(5*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*g + 257*g + 143*g + 142*g - 823*g + 135*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24650 (base 7) to base 3\nAnswer: 22220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3369, -13439, -30217, -53697, -83873, -120739?\n\"Answer: l**3 - 3360*l**2 + 3*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 271 = 4*k + 9*r, 23*k - 28*k - 102 = -8*r + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.649 + -8860.\nAnswer: -8861.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -338 + 125?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -2.7. Let l be -3 - 18\/(-10) - -1. Put y, 0.3, l in descending order.\nAnswer: 0.3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 - 3*y**3 + 5*y**3 + (2*y + 0 + 0)*(y**2 - 15 + 15) + 13*y - 13*y - 6*y**3 as s*y**2 + d*y**3 + c*y + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8.45983 * -0.7\nAnswer: -5.921881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/((-11956)\/(-1464)))\/((-4)\/34).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 39. Let s = 2145 + -2134. Calculate the greatest common factor of s and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 4237?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:15 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - j - 8. Let y be f(-7). Let z be (6\/(-15))\/(y\/15). Let d(a) = a**2 - 39*a - 40. Let v be d(40). Do v and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, c: 2, z: 2, x: 4}. Give prob of sequence cx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 222*s = 217*s - 164, 138 = -5*x - 5*s + 33 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*p + 5*b, -88*p = -85*p - b + 8. Let n(x) = 2*x + 8. Let d(o) = -1. What is p*n(j) - 5*d(j)?\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-98)\/84 + 1\/1). Let o(d) = -d**3 + d**2 - d - 62. Let k be o(q). Do k and -63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206686267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*w**3 - 2703*w**2 + 17010*w = 0. What is w?\nAnswer: 0, 7, 810\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101996887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 93*v - 1061. What is i(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.47, 0.2, -1\/6 in increasing order.\nAnswer: -1\/6, -0.1, 0.2, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -0.2, -29.8, 0.4, 1.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) -5 (d) 26 (e) 1\/219 (f) -1103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2176 - 242*g**2 + 243*g**2 - 2176.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5*5\/75).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 467*a + 4811. Determine j(-10).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(1\/5))**(-23) assuming y is positive.\nAnswer: y**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*h**2 + 262*h**2 + 214*h**2 - h to f*h**2 + o*h + m and give f.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -583\/7 - -83. Which is the third smallest value? (a) 4 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*j - 1 + 4*j + 12*j)*(69*j - 16*j - 19*j) to v*j + n*j**2 + q and give n.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35928\/(-1659))\/6 + 4. Let i = -3\/79 - w. Calculate the common denominator of i and 29\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 19*f**2 - 20*f - 1. Let y be o(-21). Find the common denominator of -50\/33 and 6 + (y\/42 - -6).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 46. Let i be m(-14). Let g be (49 - 1)*(i\/4)\/5. Let c = 78 + g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 252491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4479*a**3 + 116*a**2 - 116*a**2 - 4470*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -50792 to the nearest 1000.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*f + 39 = 0, -3*p + f + 70 = 1. Calculate the greatest common factor of p and 846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2\/3 - 13557192*d - 34462022798412 = 0.\nAnswer: -5083947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 2*d, -406*d + 63 = -397*d. Put 0, 38, 2, k, -2 in descending order.\nAnswer: 38, 2, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 13\/4*a**4 + 0*a + 3\/2*a**2 - 7 + 0*a**3. What is the second derivative of b(j) wrt j?\nAnswer: 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + t. Let w(k) be the second derivative of -41*k**5\/20 - 41*k**4\/12 + 41*k**3\/6 - 672*k + 5. Give 41*s(n) - w(n).\nAnswer: 41*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/11 smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/372)\/(36*69\/7452).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 + 4*h - 7. Let a be l(-6). Suppose -3*v - 560 = 5*s + 173, 0 = 2*v - 8. Let p = a + s. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*c + 5*i + 41, 3*c + 2*i + 1 = 0. Let r be c\/2*62400\/9. What is r rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38512\/21 - 1830. Calculate the common denominator of 28\/9 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -925.03 - -925. What is the nearest to 12\/13 in p, 4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038928.\nAnswer: 2, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.31 - 5.79. Let d = 7 + k. Which is the third smallest value? (a) d (b) 3\/2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -18.99285?\nAnswer: 19.19285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-4 + 0*3\/(-9)). Suppose 3*a + y*a = 616. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3884935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22382158?\nAnswer: 2, 953, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1841.942394 to the nearest ten.\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 7 - (43 - 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 372.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(-497)\/142.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -4\/3, 4\/3, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 3*n + 223. Suppose 4*r = -5*k + 6*r + 2, -3*k - 3 = 3*r. Calculate the remainder when s(k) is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1820\/1456*(-8)\/105\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:52 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*j = j - 782, 2*r - 814 = 5*j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.47 - -1.17. Let m be (-128)\/(-252) + 6\/(-27). Which is the fourth smallest value? (a) i (b) 0.1 (c) 3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 19. Is n*(-6)\/3*1 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - -4. Let t = 0.96 - -0.04. What is the second biggest value in -1, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 4*z**4\/3 + 4*z + 6. Let b(r) be the first derivative of f(r). Let a(y) = 2*y. Determine b(a(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84777.444 rounded to the nearest 100?\nAnswer: -84800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(56) - (sqrt(56) - (sqrt(392) + (sqrt(392)*1 - sqrt(392)) + sqrt(392))\/sqrt(7)))\/sqrt(8))**2 + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o**2. Let p(w) = -163*w**2 - 2. Calculate p(f(u)).\nAnswer: -101875*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.1. Let x = b - -0.1. Let f = 11\/3 - 4. What is the closest to -1 in f, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 3*w**2 + 22*w - 3. Let r(f) = 3*f**3 - 5*f**2 - 45*f + 5. Let s(i) = -5*g(i) - 3*r(i). What is the second derivative of s(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-2)))**(-16\/9)*(f*f**8*f*f)\/f*f*f**(-1\/11)\/f assuming f is positive.\nAnswer: f**(151\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*t + 3*i, 2*i - 10 = -20*t + 19*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, e: 2, b: 3, j: 6, l: 1}. What is prob of sequence ele?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 57. Suppose 8*d - 10 = 3*d. What is the remainder when m is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 55\/10)*0. Let o(w) be the second derivative of 1\/3*w**3 + s + 3*w**2 + 2*w. What is the derivative of o(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4939 + -4939. Which is bigger: t or 3\/6200?\nAnswer: 3\/6200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2077*o**3 + 1595*o**2 + o wrt o?\nAnswer: -12462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15644*k + 15686*k - 966 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(-9*5\/(-90))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4.3. Suppose -3*s = 4*h + 47, 0*h + h - 3*s - 7 = 0. Let m = -10 - h. Which is the second smallest value? (a) -3 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1051?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18624431 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 346 (c) -2\/7 (d) 3 (e) 2979\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-3) - 1) + -2. Suppose 2*c - 4*c + 62 = r. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 94.\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9*(-46)\/1449.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 65974*y\/11.\nAnswer: -2*y*(y + 32987)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/12 - k**3\/6 + 224*k**2 + k. Let i(x) = -x**3 + 2*x + 1. Let a be i(-2). Give b(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 14*b. Let w(f) = 3*f - 2. Let p(l) be the first derivative of -7*l + 6*l**2 - l**2 + 30 + 14. Let n(t) = 2*p(t) - 7*w(t). What is y(n(g))?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -68545620 to the nearest 100000.\nAnswer: -68500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -4 in increasing order.\nAnswer: -5, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j - 6. Let i be c(6). Let x be 3 + 5 - (-2)\/(-1). Let q be (1\/x)\/((-4)\/i). Sort 0.5, -4, q in descending order.\nAnswer: 0.5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 1\/5, -5, -25\/4, 0.1?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*b + 693 = -141, 0 = b. Is 417 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 18*f**4 + 30*f**3 - 54*f**2 + 6*f. Let b(a) = a**4 + a**3 - a**2 - a. Let k(p) = -15*b(p) + r(p). Determine i, given that k(i) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216829257 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 6. Let y(l) = -2*l - 11. Let x(i) = -i**3 - i**2 + i - 3. Let t be x(0). Let s(p) = p**2 + p - 2. Let k be s(t). Calculate k*y(z) + 7*w(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -80. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -50*z + 10. Let p(x) = -3*x**2 + 30*x. Determine f(p(v)).\nAnswer: 150*v**2 - 1500*v + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-1 + 3 - 1)*(-723*q**5 - 722*q**5 + 1413*q**5).\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7961 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.2? (a) 1\/4 (b) -1 (c) -4 (d) -0.1 (e) 10 (f) -167\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*y + 8 + 26. Sort y, -5, 29 in increasing order.\nAnswer: -5, y, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 * 19.\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 + -132. Suppose 0 = v - 1 - 5. Calculate the least common multiple of v and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + 2*sqrt(110))*-4*-1)\/(sqrt(50)\/sqrt(5)*5 - sqrt(100)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y**2 + 15*y**2 + 13*y**2)*(-335 + 335 - 68*y)*(-4*y + y + y).\nAnswer: 2720*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s**2 + 7*s. Suppose -2*q - 9 = q. Let z(p) = -6*p**2 + 3*p. Determine q*t(j) + 7*z(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h + 9. Calculate c(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 4*f**2 + 2*f - 2. Let j = 1 + 2. Let a be h(j). Let v = a - -23. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1595857145 or 1595857143?\nAnswer: 1595857145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 3. Let r(o) be the first derivative of -11*o**3\/6 - 7*o**2\/2 + 2*o - 1. Let b(a) be the first derivative of r(a). Give -4*b(d) - 9*c(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -45 + -2 + -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286213040?\nAnswer: 2, 5, 3577663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433.1 - 442. Let c = -8.5 - -17. Let l = c + o. Put l, 2\/23, 1 in decreasing order.\nAnswer: 1, 2\/23, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + h**3 + 3*h**2 + 4 - 2*h - 8*h**2 + 0*h. What is the tens digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10611?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522 and 289 - (-23 - (16 - 16)).\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*5\/(-25)*-5. Which is the closest to 1\/4? (a) -5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123760644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {x: 6, d: 3, i: 1, f: 1, z: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1520\/13209 - 2\/777. Suppose -r - 3 + 0 = 0. What is the closest to 1 in r, x, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-9)\/(-30)). What is the third smallest value in b, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Suppose -8 = -r - 2*d, -d + 0*d - 3 = -3*r. Let l(x) = 5 + 5*x + r - 5. Let m(c) = -l(c) + 6*y(c). What is the derivative of m(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(13) + 1 + 4)*-3 + (5*(0 + sqrt(117)) - 2*(sqrt(117) + -1))**2)*2.\nAnswer: 66*sqrt(13) + 2080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2888)\/(-5415))\/(1*(-4)\/10).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 - 24 = 0. Let s = 6 + -4. Suppose b = p + s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*d + 388 = 0, -u - 8*d = -3*d - 173. Suppose u = 6*c - 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 23066.\nAnswer: 4774662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {i: 2, q: 6, m: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -979, -5, -9 in descending order.\nAnswer: -5, -9, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -335*b + 1103. What is c(3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 388. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1 + 2 + n - 2. Let b(a) = -1. Let v(r) = -77*r + 234. Let z be v(3). Determine z*x(u) - b(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = 10. Let h(m) = -6*m**3 + 5*m - 5. Let s(g) = 18*g**3 - 14*g + 14. Let w be 42*59\/(-354) + (-14)\/(3 + -1). What is c*s(b) + w*h(b)?\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6 + -1 + 6)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from nnundununkdundduun.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 1. Let h be t(0). Let s be h\/(165\/6)*5. Are s and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-1)\/u))\/u)**30\/(u**(-1\/4)\/(u\/(u*u*u**(-1)))))**9 assuming u is positive.\nAnswer: u**(2169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93*14\/3 + (-3)\/3. Suppose 4*r - 7 = -5*l + s, 5*r + 143 = 2*l. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from lqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 5. Let f be v(4). Suppose 2*a - m + f = 0, 9*m - 4*m = -a + 15. Suppose 3*y - 27 - 12 = a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 - 3 = 0. Let x(c) = -2 + 1 + z - 2*c**2 - 7*c - 5. Give x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239627 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89067276 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198.206km in centimeters?\nAnswer: 619820600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -5 (c) 39 (d) 1\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69675 and 3.\nAnswer: -69672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64596676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 13) + (-3 - -5). Sort -2, -17, c in descending order.\nAnswer: c, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -88. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 3*z**2 - 5*z + 5. Let s be f(4). Let u = 3.15 + 123.85. Let x = -132 + u. Sort x, s, -1.9 in decreasing order.\nAnswer: s, -1.9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:46 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose x + 0*x - 59 = 0. Suppose x = o - 4*l + 10, -o + y*l + 47 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 2 + 2*c**3 + 2*c**4 - 8*c - 3*c + 6 to the form l*c**2 + s + y*c**3 + k*c + b*c**4 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-3003)*((-1380)\/200 - -8).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80388)\/42108)\/((-3)\/(-88))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -4325?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11449363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or -211?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 50244128.\nAnswer: 50244130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in 83601, 0, 5, 23.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -1657. Suppose -8*f + 585 = -b. What are the prime factors of f?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - 9 = 0. Suppose y = f - 3, -5*y + y + c*f = 12. Let i(a) = 2*a + 4. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(432)*-1 - sqrt(432)) + -5 + (sqrt(432) - (-1 + sqrt(432))))**2 + -3.\nAnswer: -86435 - 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15199.75784 rounded to the nearest 100?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = y - 15, -5*y + 9 = c - 18. Suppose -c*w + 2 = -4*i - 20, -5*w + 3*i = -55. What is the remainder when 51 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*a**3 + 53 - 2*a + 78*a**3 - 52 + a in the form q + y*a**2 + j*a**3 + g*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - -782.36128609?\nAnswer: 782.35128609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456\/(20 - 696\/36) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82969.26ml to litres.\nAnswer: 82.96926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*j + 301. Suppose 29 = -3*k + 44. Suppose 5*q = 3*y - y - 16, 5*y - k*q = 40. Calculate the highest common factor of j and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-3 - -2)) + 8. Suppose 18 = 5*s + k. Differentiate -s - 2 - y - 2*y + 2*y with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 8*r**2 + 2*r - 12. Let z be c(8). Suppose -109 = z*b + 883. Let k = b - -393. What is the remainder when k is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.114? (a) 766 (b) 0 (c) 43 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.558 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1 - 3. Suppose 0*m = -m - 1, -a*d = m - 127. Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, -0.06, -38.\nAnswer: -38, -1\/3, -0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + -108. Let q = 128 + g. Put 33, -0.2, q in decreasing order.\nAnswer: 33, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 42\/1 + -1. Let u = p + -28. Let n = u - 7. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpevccm. What is prob of sequence pe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*m - 4, -m + 2*m + 20 = 5*u. Suppose 3*b + 3*z - 335 = -119, 3*z = m. Calculate the highest common divisor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384 - 6*w + 384.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7486741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, d: 1, m: 7, p: 2}. Give prob of picking 1 p and 3 m.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -40143003?\nAnswer: -40142444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9218.\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/38468 and 1\/19782169.\nAnswer: 79128676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 129\/18 + (-77)\/66. Solve 0 = y - h*y - 4*b - 32, -5*b - 7 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 30641 + -14775. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 25*m + 30. Suppose -2*l = -2*z + 12, -2*l + 5*l = 2*z - 15. Suppose -5*b + z*b + 298 = 0. Calculate the remainder when b is divided by j(25).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*w - w + 381 = 0, -4*h + 5*w = -507. 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 value of (-4 - -3) + 3 + -2 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*g - 2*g - 3*g + 3*g + (0 - 1 + 0)*(-19 + 19 + g) + (2*g - 5*g + 4*g)*(-8 - 4 - 5) + 3*g - 3 + 3.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -123. Suppose b + x*r - 2*r = 367, 3*b = -5*r + 1089. What are the prime factors of b?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-187494)\/15 - (-4)\/10*-1. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3683, 7349, 11019, 14693, 18371, 22053?\n\"Answer: 2*u**2 + 3660*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174472 + 139*m + 27*m + 174471)*(-4*m - 2*m + 4*m).\nAnswer: -332*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_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: Convert 0.132746 millimeters to micrometers.\nAnswer: 132.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + 15. Let u be (-2)\/r*8*-9. Let l = u - 10. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113? (a) -8\/9 (b) 2 (c) 4 (d) -0.1 (e) -1\/7 (f) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2700 and 12.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -88 + 27 + 23 + 2*z + 38. Let a(g) = -242*g**2 + 4. Determine a(l(m)).\nAnswer: -968*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 23378.98986 to the nearest 100.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18\/72*24)\/((-10)\/25)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -8.43601\nAnswer: 67.48808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*x**3*y**2 + c*x**3 + 94*c*x**2*y - 43*c*x*y + 2*c*x + 107*x**3*y**2 - x**3*y + 4*x*y**2 wrt y.\nAnswer: 2*c*x**3 + 214*x**3 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1)\/((-6)\/12) + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**3 + q. Let x be g(1). Let n be 64\/x - (-8)\/(-20). Let r = -4 + n. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 95 - 97 = -8*v. Determine u so that -7\/2 - 4*u - 1\/2*u**v = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 3280*r**2 + 6580*r.\nAnswer: -5*r*(r - 2)*(r + 658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (13 + (2 - 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and -115\/12906?\nAnswer: 64530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102168740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 316\/237*(27\/(-12))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k + 10. Let v be 1*2 + (-3 - -4). Let w(y) = 9*y + 21. Let d(t) = v*w(t) - 7*a(t). List the prime factors of d(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w - 33255 = 35*w + 373006. List the prime factors of w.\nAnswer: 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/5148*-13)\/((5\/(-6))\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49868.6467885482 and -0.2?\nAnswer: 49868.8467885482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5937*d - 41564. Give o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-559*(-3)\/30)\/(580\/8425). Let p = -812 + a. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 0)*(-4)\/(-8). Suppose 0 = w*u - 11 - 1. What is the units digit of 4 + (-3 - -3 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1, -6, -3, 119, 2 in increasing order.\nAnswer: -6, -3, -1, 2, 35, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7772*s**2 - 11477*s**2 + 6322*s**2.\nAnswer: 2617*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rftgffugfgfg. Give prob of sequence ugfr.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 4, v: 5, i: 8}. Give prob of picking 2 i, 1 b, and 1 v.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -74, -132, -178, -206, -210, -184, -122?\n\"Answer: h**3 - 65*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -5*z + 4*n - 10, -z - 5 = n. Suppose -h + 12 = -z*h. What is the units digit of (-4)\/(48\/(-28))*h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.6 and -80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2247 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 + 486*g**4\/5 - 12574*g**3\/5 + 102072*g**2\/5 - 325827*g\/5 + 358722\/5 = 0.\nAnswer: -511, 3, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/12 - (153\/12)\/17. Let r(g) = -29*g**3 + 2*g**2 + 2*g + 1. Calculate r(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*l - 3791 + 96, -3*l = 2*j - 1458. Is j a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -1333, -1847, -2215, -2407, -2393, -2143?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4) + 1)\/((-15)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 35*z**4 + 139*z**3 + 39*z**2 + 5. Let r(o) = 12*o**4 + 46*o**3 + 13*o**2 + 2. Let c(v) = 5*h(v) - 14*r(v). Find the third derivative of c(q) wrt q.\nAnswer: 168*q + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 smaller than 965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10681 - -405877\/38. Let k = -1 - -1.1. Are q and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -35244*s**2 + 3 + 0*s - s**3 + 0*s**3 - 2*s + 35250*s**2. Give x(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 192398*k**2 - 3*k + 94*k**4 + 192395*k**2 + k**3 + 2*k**4 + 0*k**4 - k**4 + (k**4 - 4*k**4 + 2*k**4)*(-1 - 1 + 0).\nAnswer: 97*k**4 + k**3 - 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfi when three letters picked without replacement from wgwfieziwfweffg.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95)*5)\/(sqrt(180)*-1 - sqrt(180)))**2.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3235*q**4 - 3225*q**3 + 29125*q**2 + 29025*q - 90 = 0.\nAnswer: -3, -1, 2\/647, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 1, 0, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 24 = 4*k, -4*k - 18 = p. Let y(g) = -g - 5. Let t be y(k). What are the prime factors of (1\/(-3))\/(t\/123)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40492.91cm in kilometers?\nAnswer: 0.4049291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21301223202 (base 4) in base 8?\nAnswer: 11615342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 + 39492*y + 129968172 = 0. Calculate y.\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/237 and -5\/657.\nAnswer: 51903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800797171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15338, 30685, 46034, 61385, 76738, 92093?\n\"Answer: o**2 + 15344*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 918 = -3*s + 903, -81 = -3*l + 3*s. Solve -4*y + 8 = 0, -5 = l*k - 34*k - 2*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u*u**14)\/u)\/u*u*u)\/(u*u*((u*u\/u**(-3\/16))\/u)\/u))\/(u**1)**(-1\/18) assuming u is positive.\nAnswer: u**(2141\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 1:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, i: 8, t: 1, h: 2, f: 3}. Give prob of picking 1 t, 1 v, and 1 h.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6091038 divided by -249?\nAnswer: -24462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220322 (base 5) to base 15.\nAnswer: -23ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 64*r**3 - 239*r**2 + 255*r - 72. Let g(u) = 97*u**3 - 359*u**2 + 384*u - 108. Let c(b) = -5*g(b) + 8*p(b). Factor c(v).\nAnswer: 3*(v - 3)*(3*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8.6. Let r = 0.071 - -0.429. What is the third smallest value in r, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-0.038\nAnswer: -0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s)\/s)**(2\/55)*(s**(-2\/3))**41*(s**(2\/9)*s*s**(-3)*s)\/(s**(-2\/5))**(-19) assuming s is positive.\nAnswer: s**(-17659\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -985.2 + 981.233. Let x = 0.033 - i. Which is the nearest to -1\/4? (a) -3\/7 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 6, h: 4}. What is prob of sequence hp?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)*b\/b**(-1\/2)*(b\/b**(-6))\/(b*b**(-1\/4)) assuming b is positive.\nAnswer: b**(91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 45 = 7*j. Suppose j*k = 9*k - 1881. Suppose -m + k = g + 224, -5*g = m - 411. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -684, -4, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. What is the highest common factor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 6. Let o(y) = 5. Suppose -3*z = -2*z - 5. Let s(t) = z*g(t) + 6*o(t). Let q(w) = 22 - 2*w**2 - 22. Give q(s(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38777223801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 31*n - 2156 + 2090. Solve -5*o - n*p + 8 = 0, 102*o - 4*p = 106*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:55 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 95. Let g = y - 9.0087. Round g to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2*j + 3*j)*(-61 + 31 + 37)*(-4 + 1 + 0) to o + u*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 3. Let r be w(5). Solve 12 = -0*i - r*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8)\/((-3)\/4). Suppose d - 114 = -a*b, 17*d - 19*d = -2*b - 210. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7467485 kilograms to milligrams.\nAnswer: 746748.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*y**4 + 2*h**2*y**2 - 647*h**2 + 145*h*y**4 wrt y?\nAnswer: -48*h**2*y + 3480*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2897 - -2912. Suppose -3*u = -5*h - 50, 2*u - 32 = 3*h - 0*h. What is the greatest common divisor of b and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {l: 1, x: 1, q: 1, c: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 225455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/67 + -137\/201. Let f be 3\/(-6) + -1 + 1. What is the nearest to x in f, -1, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189728 + 5237*r**2 - 189728.\nAnswer: 5237*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 14.5844kg?\nAnswer: 14584400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 118. What is x(-35)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.8 - -4.2. Let q = 90 - j. Let w = 1\/41 + 39\/82. Which is the closest to 2? (a) w (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 9) in base 4?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2. Let u(g) = 46*g**2 - 9*g - 1. Calculate 7*m(r) - u(r).\nAnswer: -39*r**2 + 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -269*x - 3754. Calculate u(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhh when four letters picked without replacement from ghgghhhh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -26. Let q be z - 1 - (25 + -8327). Suppose 0 = -17*o + 14*o - 5*v + 8298, q = 3*o + 4*v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13341412 (base 5) in base 11?\nAnswer: 94013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -288695*-0.5\nAnswer: 144347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 11. Let a(v) = -11*v - 39. Let z(g) = 6*a(g) + 25*s(g). What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 3*x**2 - 3*x. Let h(v) be the second derivative of v**5\/10 + v**4\/12 - v**3\/6 - 2*v. Give 11*h(i) - 4*k(i).\nAnswer: 2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/(-9) - -2)*-1. Let z = 59.5 - 60. Let m = 6.4 + -6.44. What is the biggest value in n, z, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**2 + 99*p**2 + 0 - 25*p**2 + 0.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*w = 31*g - 239*w + 15, 1 = 3*g - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 11 (b) -1\/2 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/42)\/((-2)\/(-12)). Let y be (3\/a*1)\/(24\/(-112)). Solve -2 = -3*s + 5*h, y = -4*s - h + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529897691.\nAnswer: 431, 1229461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*4*3\/(-24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i - 44*i - 33*i - 43*i + 162*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 16 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50260 and 1589?\nAnswer: 11409020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3530 (base 6) to base 4\nAnswer: -31032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26035, 25689, 25349, 25015, 24687?\nAnswer: 24365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 11*j**2 - 12*j. Let b(h) = -h**3 + 6*h**2 - 6*h. Let k(z) = 13*b(z) - 6*d(z). What is the remainder when k(11) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2, 0.2, -0.1, 4 in descending order.\nAnswer: 4, 4\/9, 0.2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 7089*j**3 - 21260*j**2 - 14172*j.\nAnswer: -j*(j + 1)*(j + 2)*(j + 7086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210545 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8158152 and 133346?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 10*l - 5*l)*(4 - 4 + 2)*(l - 2 + 2) + 5*l**2 + 6*l**2 + l**2.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/14)*g\/((((g**(2\/3)\/g)\/g)\/g*g)\/g*g))\/(((g**(3\/8)*g)\/g)\/(g**11*g)) assuming g is positive.\nAnswer: g**(2477\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2143194.\nAnswer: 2, 3, 357199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798987097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 7*p + 22*p - 24*p + 8*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 228\/(-60) + 1\/(-5). Let s = -1 + d. Let v(r) = -s*r**2 - 3*r**2 + 8*r**2. Let o(a) = -4*a. Give o(v(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 - 34*q**2 - 17*q - 169. Give i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23023.\nAnswer: 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/3*(-8 + -116732). Suppose a - 895020 = -4*f, -3*f + 7*f = -3*a + h. Round a to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333221033 (base 4) in base 2?\nAnswer: -11111111101001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-27) - 2108\/(-93). Solve 17*i + 33 = 4*h + x*i, -2*h + 4*i = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 + 3*k**4 - k**4 + (-185 + 15 - 55)*(-4*k**4 - 2*k**4 + 4*k**4) to the form p*k + r*k**4 + g*k**3 + h*k**2 + o and give r.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 64?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*s + 288, 6*s = 5*a + 7*s - 513. Calculate the greatest common divisor of a and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 divided by -1415.\nAnswer: -96\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -11\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - 119. Let m = -145 + 58. Let j = m - q. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*m + 2249 + 2604 = -3019 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 82*g + 178 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742\/11 bigger than 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 497*v - 2213. What is s(-170)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1306*t - 501*t - 45175 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126.999495 - 127. Round s to five decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 - 9*p - 12. Let u(z) = -2*z**2 + 3*z + 4. Let k(x) = 7*u(x) + 2*v(x). Let t be k(-1). Which is the nearest to 3\/4? (a) 2\/3 (b) 3\/8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4755771984 + -0.37.\nAnswer: -4755771984.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z - 13. Let r be n(-11). Suppose -50*d + r*d + 232 = 0. Solve -d*t = -32*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/18)\/((-5)\/30). Suppose -7*w = -9*w, 33 = 3*f - z*w. Sort f, 5, 0.1 in descending order.\nAnswer: f, 5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 2 a when four letters picked without replacement from {e: 2, a: 2, t: 1, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g + 19. What is the remainder when 184 is divided by v(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-12) + (5290\/(-12))\/(-5) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0.004, -1 in increasing order.\nAnswer: -4, -1, 0.004, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 - 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135742319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -33. Suppose -4*p + k - 5 = 0. Sort 0, -4, p in ascending order.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28156\/11 - -2557. Calculate the common denominator of c and -29\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8450?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132599 to 4 decimal places.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -5365?\nAnswer: -5369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 49 + 43 = 0. Let c be 22 - ((-3)\/u)\/(-3). Solve 6 = 4*a - 2*q, -3*q = 2*a + 2*q - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -689121*u**2*v**3 + 14*u**2*v**2 + 4*u**2*v - 8*u**2 - 7*u*v**2 wrt v.\nAnswer: -4134726*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/170)\/(3\/7*2\/18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**3*v**3 + 45*p**3*v**2 - 84*p**3*v + p**3 + 2*p**2*v wrt v.\nAnswer: -84*p**3*v + 90*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11917\/36 - -331. What is the common denominator of c and (-5)\/(-25) - (1821\/(-270) + 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5537 and 43505.\nAnswer: 304535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022 + -43?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/18 and 5\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76112 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 n when three letters picked without replacement from abaaannbbnbaaanba.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*18)\/(18\/(-192) + 0). Let v = 462 + 595. Let l = k + v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(405) + sqrt(405)*1)**2 - ((sqrt(160)\/sqrt(4))\/sqrt(8) - ((sqrt(5) + 1)*-6)**2)).\nAnswer: 426*sqrt(5) + 11028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 479 - 10*d - 243 - 21*d.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 - (3 - (-1 - -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 52*a**2 + 30*a - 68. What is q(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*q**5 + 5*q**5 + 6*q**5 - q**4 + (1 - q - 1)*(-31*q**4 - 10*q**4 + 79*q**4).\nAnswer: -64*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555 by 282.\nAnswer: 185\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(62\/14 + -4). Solve 2*f + 4*t = 10, 4*f - 2*t - 13 = d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:57 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -150*n**3 - 16*n**2 - 4*n - 1. Let h(s) = 150*s**3 + 20*s**2 + 5*s + 4. Determine -4*h(b) - 5*i(b).\nAnswer: 150*b**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -17 - -8 - -6 - -625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 - 5\/4. Let u(f) = 10*f**2 - 1. What is u(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*q**4 + 6*q**4 - 9*q**4)*(2*q - 6*q + 0*q).\nAnswer: -292*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -2.95. Let m = -59 + 231\/4. Sort 0.1, m, o.\nAnswer: o, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149231433.\nAnswer: 3, 13, 1423, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -40 - 22\/33*-21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-13)*-1)\/((-12)\/8)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -4*l**2 + 1\/70*l**7 + 0*l**3 + 0*l**4 + 1\/60*l**5 + 0*l**6 + 0*l + 0. What is the third derivative of r(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3760 and 85546768.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4195.44 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + -23869.\nAnswer: -23856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665076 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6069 times 130\nAnswer: -788970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2445 rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108, 783, 2022, 3825, 6192?\n\"Answer: 282*u**2 - 171*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052 * 0.178.\nAnswer: 0.009256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51\/28 - -11\/7. Let l be ((-3894)\/(-5192))\/(3\/(-2)). Put t, -2\/3, -1\/35, l in decreasing order.\nAnswer: -1\/35, t, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3)\/(-6)*1. Let x = 5 + -3. Suppose c + 6 = 3*f - 2*c, 5 = 3*f - x*c. What is the third smallest value in -0.1, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/9))**(-6\/11)\/((r\/(r**(-2)\/r))\/r*r\/((r*(r\/(r*r**(-24)))\/r)\/r)))**32 assuming r is positive.\nAnswer: r**(19808\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5950 and 43477000.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5 - -9) + (2 - 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5 and -11\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*c - 75 = -3*k, 4*k - 115 = 3*c. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/2 - 34*x**2 + 71*x\/2 + 69 = 0. Calculate x.\nAnswer: -69, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -8.72 (b) 2\/11 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 22406?\nAnswer: 9\/22406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039174551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:15 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*-9*(-2)\/(-189)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**3 - 89*d**3 - 55*d**3 + 39*d**3 + 34*d**3 + 43*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-55)\/(6600\/(-48)))\/((-8)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtiiimuyitit. What is prob of picking 1 i and 1 u?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2382 - 2380. Let l be 0*(-3)\/(-6) - -2. Solve -5 = 3*k + 3*a - q, l*a = -5*k + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346818 (base 9) to base 7.\nAnswer: 1525445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4) + -1 + 6 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 11. Suppose 7*b - 10*b = 9. Let d(u) = 4. Let r(q) = b*i(q) - 8*d(q). Let y(a) = a**2 - 7*a - 2. What is 5*r(t) + 2*y(t)?\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 2 q when four letters picked without replacement from qqmwqmqcqqcqhcmqoq.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8651192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + -0.1. Let q = 1.6 + f. Sort -1, 2, q in decreasing order.\nAnswer: 2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) + 1647\/162?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117649 and 365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13865*q**2 + 37*q + 74. Is 235 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13231234 - -12?\nAnswer: -13231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + r**3 + (r**2 + r**2 - 4*r**2)*(-2*r - 2*r + 2*r) + 3*r**3 - 10*r + 10*r + (-5 + 5 + 2*r)*(-5*r**2 - 153*r + 153*r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 41*f**3 + 600*f**2 - 3700*f + 8000.\nAnswer: (f - 16)*(f - 10)**2*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 6000000 = -14*u. Round u to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*o = -259, 12534*x - o + 56 = 12533*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 3*c**2 + 3*c + 10. Let p be b(-4). Which is smaller: -24 or p?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 3, s: 2, t: 3, j: 3, k: 7}. Give prob of sequence td.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 3. Suppose -2*r = -5*h - 918 + 340, -833 = -n*r - h. What is the highest common divisor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**3 + j**3 - 6*j + 5 + j - 4*j**2. Let o be m(5). Suppose -3*h + o = -2*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 661 = b + 348, 0 = 4*d + 2*b - 4030. Let v = d + -301. List the prime factors of v.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.525 - 0.485. What is the nearest to 0.1 in 1, l, 24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 99, 99, 97, 93, 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9779 is divided by 4877.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-8))\/(17 - ((-2562210)\/(-3416))\/45) and 109\/48 + 0 + -1.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, 1\/4, 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1548717060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165 + 2*s - 2*s**2 + 2*s + 2*s**3 - 164 - 2*s**4 to the form b*s + x + q*s**2 + g*s**4 + c*s**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233042 + -113152?\nAnswer: 115450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 5. Let h = b + 11. What is the derivative of 3 + 3*j**h + j - j - 7*j**4 wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003136359 to seven decimal places.\nAnswer: -0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0662 - -0.0662. Are t and -1114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 3*b + 2. Let a be o(-1). Suppose 4*p + 5*n + 4 = -a, 0 = -5*p - 2*n + 15. Suppose 18 + 2 = -p*v, -g - 5*v = -479. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -202310?\nAnswer: 202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i + 40*i = -27840. What is the highest common factor of i and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18202?\nAnswer: 2, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:05 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.5, 2.7, -0.4, -1, 586, -29?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007129 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -29*a - 2 + 0*a**2 - 4*a**2 + 31*a - a**2. Let g(c) = 4106*c**2 - 8210*c**2 - 11*c + 4130*c**2 + 11. Give 22*b(k) + 4*g(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-2)\/(-2)) + 47. Suppose -3*v + 0*v - r = 0. Find the common denominator of -59\/22 and 101*(-2)\/v*-2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Suppose f*k - 5*r = -4, 0*k - 8 = 2*k - 4*r. Suppose 0 = -3*c - 12, 4 = k*t + 4*c - 0. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75439 is divided by 11841.\nAnswer: 4393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -438 - -441. Solve r*y + 1 = -t + 8, y - 2*t = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 29. Suppose 0 = -12*t + 28*t. What is d(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4080 and 2.\nAnswer: 8160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/36*0 - -9. Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and -82\/1185.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 11:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6\/(-4 + 6)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14912 divided by 6.\nAnswer: 7456\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - f + 62, -4*h + 0*f - 50 = -f. Suppose -a = 2*a - 27. Let c be (-1*h\/(-42))\/(a\/7). Which is smaller: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -3. Let m(k) = 4*k**2 - k. Let q be m(1). Suppose 2*w + 4*r - 16 = 0, -5*w + 5 = 2*r - 3. Which is the closest to w? (a) y (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/2, -5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 40986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 12903 and 296736\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g. Determine a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198842*w - 111293.\nAnswer: 198842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773102.\nAnswer: 2, 3, 295517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:39 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1136, 1791, 2446, 3101, 3756, 4411?\nAnswer: 5066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 15. Let b be d(-13). Is (-5)\/(-10) + (-613)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*r - 41 - 22. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/(-4) + 3\/(-12). Let t = 11 - f. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.298 + -0.098. Let q = y + -9.14. What is the second smallest value in -2\/7, -5, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 15*u = 4*n - 16, 5*n = 4*u + 24 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1311 + -3*6\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 - 3*r**2 + 14*r**2 + (-r + 3*r - r)*(-1 + 1 - 2*r) + 2*r**2 + 4*r**2 - 5*r**2.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 0*z**3 - 2*z**3)*(1 - 1 + 2*z**2 + (1 - z - 1)*(6306 - 6306 - 33*z)).\nAnswer: 35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 4*d, -d = -i + 2*i + 4. Let t(o) = -2*o**3 - 3*o. Let v(n) = -3*n**3 - 5*n. What is i*v(m) + 5*t(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25552462 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-12))\/(((-15)\/12)\/5). What is the second biggest value in r, -1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Let h = 11 + -21\/2. What is the third smallest value in h, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83148 and 16224?\nAnswer: 665184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -515433153*f**5 + 245010300*f**2 wrt f?\nAnswer: -30925989180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**6\/15 + 14*q**5\/5 - 20*q**4 + 48*q**3 + 34*q + 33. Let i(f) be the first derivative of g(f). Factor i(m).\nAnswer: -4*m*(m - 6)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1102354122 - 4077424169327\/2495729732208. Let j = n + -27\/283. Find the common denominator of j and -97\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:22 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 minutes before 10:46 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slelleslllles. What is prob of picking 1 e, 1 s, and 2 l?\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2*k + 2*a**2*t - 17*a*k*t + 4107*a*k - 1249336*k*t**2 + 7*k - 764 wrt t?\nAnswer: 2*a**2 - 17*a*k - 2498672*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.099 (b) -2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/3 + o. Let r(b) = -8*b - 6. Let m(q) = -q - 2. Let v(c) = 3*m(c) - r(c). Calculate v(s(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 214 = h, 12*h - 13*h - 229 = w. Does 23 divide (3 + (3 - 7))*(h + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -13) + 1 - 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 + 13) - (0 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112601392 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - 11*o - 122. What is the thousands digit of r(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 3. Let c(v) = 16*v**2 + 1799. Calculate c(r(g)).\nAnswer: 144*g**2 + 288*g + 1943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6052 and 665720.\nAnswer: 665720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**3 - 119*v**2 - 18*v - 36. Let w be j(20). Solve 69*u - w = 68*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -934842?\nAnswer: -5\/934842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, k: 6}. Give prob of picking 3 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/5)*u\/(u**(-2\/25)*u)*(u*u\/(u*u**(1\/33)))\/u*u\/(u\/(u*((u*(u\/(u\/(u**(-7\/3)\/u)))\/u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-738\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 - 1. Let l(m) = -m**2 - m. Let k(i) = -c(i) - l(i). Let o(q) = 11*q**2 - 2*q - 3. Determine 7*k(j) + 3*o(j).\nAnswer: -2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 5*n + n**4 + (-n**3 - 3*n**3 + 3*n**3)*(0*n + 0*n + 2*n) + 1 - 1 - 3*n**4 in the form h*n**2 + c*n**4 + o*n**3 + k*n + u and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 23*v**2 - 43*v - 64. Calculate l(21).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 times 50\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (-17 + 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6) - (-341)\/186. Solve 3*j + i*s = -9, -s + 0*s = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvfvfffxf. Give prob of picking 1 v and 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 11. Suppose -2*f = 5*f - 378. Let i = f - 48. What is the least common multiple of i and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23 - 24*s + 2*s**2 + 27*s - s**2 + 0*s**2. Let z be k(0). Let o = -14 - z. What is the greatest common divisor of o and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 249, 627, 1177, 1899, 2793?\n\"Answer: 86*s**2 - 52*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 1 + 5 - 2 - 1.\nAnswer: -9*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let y(k) = -3*k**2. Let i(m) = 9*f(m) + 2*y(m). Let t(s) = 6*s**2 - 8*s + 8. Let x(c) = 2*c - 2. Let p(q) = -t(q) - 4*x(q). Give p(i(n)).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71\/5673 or 0?\nAnswer: -71\/5673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 v, and 1 s when four letters picked without replacement from {s: 1, v: 7, f: 1, d: 3, j: 1}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/20 - 7*b**4\/24 + 13*b**3\/6 - 945*b**2 + 3*b. Let f(w) = -w. Calculate t(f(i)).\nAnswer: -3*i**2 + 7*i + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1234677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1910576 in descending order.\nAnswer: 1910576, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/100*(55\/(-33))\/(-1)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35896244?\nAnswer: 2, 19, 472319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*a = -1098*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 360*s + 6680. Give w(-64).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6 + 114\/20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 36*m**2 + 21*m - 21. Let z(y) = 0*y - 14*y**2 + 7*y**2 + 4 - 4*y. Let r(j) = 4*n(j) + 21*z(j). Let t(i) = 3*i. Determine r(t(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3757390 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 8. Let s = 192 - 199. Let n(k) = 4*k + 24. What is s*h(f) - 2*n(f)?\nAnswer: -f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 27, 45, 103, 219, 411, 697, 1095?\n\"Answer: 3*i**3 - 7*i**2 - 4*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.096. Let o = z - 0.096. Let t = o - -0.599999899. What is t rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/60 and -79\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -66648*d**3 - 49*d**2 - 44*d + 4. Is s(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 5*z = 12, 4*z + 14 = w. Let d(o) = -o - 1. Let q be d(w). Which is the nearest to -2? (a) q (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = 2*b, r - 5*b + 45 = 57 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.789 rounded to 2 decimal places?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1083, 5 in ascending order.\nAnswer: -3, -1, 5, 1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1275*-0.18\nAnswer: 229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2 + (-5)\/4). Suppose -3*f - v*t = 40, -4*f + 3*f + 12 = -5*t. Let u = -2 - f. Solve -24 = -4*p + u*p - 5*h, -4*h = -4*p - 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.8. Let u = 0.78 + -0.8. Let s = 3.98 - u. Which is the closest to v? (a) 1\/6 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-12)*m))**(-2\/3))**3 assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 714*c**2*l**3 + 5*c**2 + 3*c*l**3 + 2*c + 10*l wrt l.\nAnswer: 4284*c**2*l + 18*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -303302334?\nAnswer: -303302401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*c + 2310, -5*u - 3470 = -3*c - 3*u. List the prime factors of c.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let z(y) = 80*y + 2. Determine -8*q(u) - z(u).\nAnswer: -72*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/1*(-22)\/(-5). Let v = r - -28. What is the smallest common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.204, -1\/6, -0.8, -18\/5 in ascending order.\nAnswer: -18\/5, -0.8, -1\/6, 0.204","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - m**3 - m**4 + 32 - m**4 - 36 - m**3 to the form g*m + k + i*m**4 + q*m**3 + v*m**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140094 * -1825.\nAnswer: -255671550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) + 1\/(-1). Put -1, x, 1 in descending order.\nAnswer: 1, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) + -1*sqrt(228)*-6 + sqrt(228)))\/((1*sqrt(7260))\/sqrt(5)).\nAnswer: 16*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6931566567896 + -0.1.\nAnswer: 6931566567895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 587.1 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y - 19 + 30 + 9. Let s be k(4). Suppose 2*q = 2*j - 48, s*j - q = 24 + 72. 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 the greatest common factor of 15 and 18825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2 + 6 + -4. Let m(t) be the second derivative of 1\/6*t**3 + 0 + 0*t**2 - 1\/12*t**4 - t. Determine m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -45. Let g = 7 - x. Suppose -3*r = -3*q + 2*r - 3, 3*q - g*r = 0. Solve 0 = q*z - 27 + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 19*z + 18 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 249\/13 - (-8)\/(-52). Suppose 4 = 5*a + x. Is 11 a factor of (-25 - a)*(-5 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*v - q, 3*v - 2*q = 6. Suppose -v*t + x - 4*x = -6, 3*t - 3*x = 9. Factor 0*w**t - 5*w + 4*w**2 + 3*w - 2*w**3 - 4 + 4*w**3.\nAnswer: 2*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + 30 + (12 - (-13 + 18))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2890 and 2090626.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v**2 - 2*v - v**2 + (11*v + 14 + 19 - 34)*(-573 + 292 + 44*v + 282).\nAnswer: 482*v**2 - 34*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 - (15 + (80 + -13 - 12))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.34797 months in decades?\nAnswer: 2.37789975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -3. Suppose -h = -2*k - k. What is the second derivative of -k*o + o - 4*o - 4*o + 4*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1711733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50242653?\nAnswer: 3, 71, 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448869 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(2*sqrt(486)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6931 is divided by 122?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.14467l in millilitres?\nAnswer: 88144.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2974.\nAnswer: 5\/2974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983700 is divided by 9550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0 + 1\/72*m**4 + 0*m**3 - 3*m**2 + 0*m + 1\/180*m**5. Factor u(o).\nAnswer: o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 2*g - 4. Let o(r) = -r**3 + 16*r**2 - 13*r + 9. Let z be o(15). Let q = z + -17. Calculate the remainder when u(-5) is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-15) - (-1365)\/225. Suppose 0 = -3*d - 1 + 7. Suppose -p*l - u + 11 = -3*l, 2*u + 2 = d*l. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34648, 69295, 103940, 138583?\n\"Answer: -h**2 + 34650*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-1*1*-4)\/((-2*sqrt(2352))\/(sqrt(288) - sqrt(32) - sqrt(32))).\nAnswer: -20*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 241016, 240994, 240962, 240920, 240868?\n\"Answer: -5*n**2 - 7*n + 241028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6880 by 1376.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 2*f**3 - 2*f**2 + (4 - 2 + 0)*(f**3 + 0*f**3 + f**3) + 3*f**3 - f - 4*f**2 + 2*f**3 - 3*f**3 to c*f + s*f**2 + h + a*f**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*d**5 + 2*d**3 + 12*d**2 - 25526*d?\nAnswer: -2620*d**3 + 12*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3309 = -a - 3252, -7 - 24 = a + 4*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/((-15 + 0)\/15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006317 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(102) - (-2*sqrt(102) - sqrt(102)))*-4)\/(sqrt(6) + (sqrt(216) + 2*sqrt(216) - sqrt(216)) + sqrt(216)*1))**2.\nAnswer: 156672\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7535\/551, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g**4 + 164297*g**3 + 674357*g**2 + 6*g wrt g.\nAnswer: 360*g + 985782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m - 20. Suppose 0 = -2*s + m*s - 16. Suppose 0 = 3*t - s*t. Solve -2*l = 2*u - 7*l - 15, -5*u - 2*l - 35 = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4. Let t be l(0). Suppose 0 = k - 1, -t*k - 33 - 71 = -3*f. Is 37 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3297541687 and -13.853.\nAnswer: -3297541700.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/v*v**5)\/(v**(8\/5)\/v**(-1\/8)) assuming v is positive.\nAnswer: v**(-269\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 + 8*v**3 + 18*v**2 - 7*v**3 - 110*v**3 - 40*v**2.\nAnswer: -109*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-28)\/(-3)*(2\/(-7))\/(-1).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 31) + (0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31170.\nAnswer: 2, 3, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3\/4 - 93*i**2\/4 - 25*i + 141 = 0.\nAnswer: -3, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 - (-10 - -296)\/13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let a be (-9800)\/6*(j + -1). What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32930*-0.1\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 11 = b. Let j = b - -21. Suppose -4*r - j = -46. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113405136?\nAnswer: 2, 132087821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**3 + 4*u**2 - 3*u + 1. Let z be j(2). Let h = 85 - z. Suppose -5*i - 4*w = 0, -3*w + 15 = 5*i - 2*w. Solve 2*p = -i*t, -2*p + 9 = h*p - t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 15) in base 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1)*(-38)\/(-4). Let q be -4*(-4 - 14\/(-4)). Suppose 0 = -q*x + 8. Solve x - h = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/4 + 4*j**3\/3 - j**2 + 3*j - 5. Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 2, j: 1, c: 1}. What is prob of picking 1 z, 1 j, and 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -31*q + 5. Let y(a) = 17*a - 3. Calculate -6*t(w) - 11*y(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 4*u**2 + u**2 + (0 - 2 - 1)*(2 + 1 - 5)*(-u + u - u**2) + (2*u + 2*u - 6*u)*(0 + 3*u + 0) as i*u**2 + m + s*u and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 3\/2, -3, -0.21, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51434 is divided by 3918.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:24 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -65, -93, -133, -185?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-27 - -11 - -19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.13694?\nAnswer: -0.054776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/768 and 47\/320976?\nAnswer: 5135616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27109097 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdstsbsxsstbdsxst. Give prob of sequence ds.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25963 (base 10) to base 12\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5\/2 + 75*w**4\/2 + 115*w**3\/2 - 1515*w**2\/2 - 270*w + 2430 = 0?\nAnswer: -9, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 9, -5, 0.1, -0.1.\nAnswer: -32, -5, -0.1, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 423.6704 + -373.66. Let b = 50 - p. What is b rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 45, 39, 31?\n\"Answer: -v**2 - v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(80) + (sqrt(80) + sqrt(80)*-2 - sqrt(80) - sqrt(80)) + 5)*-1 - (-5 + 6*(sqrt(80) - (-2*sqrt(80) + -2)))) + 0)**2.\nAnswer: -5520*sqrt(5) + 72529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 946093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 14 - 3*f - 5 - 3*f to d + p*f and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2918372mg?\nAnswer: 0.0002918372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 bigger than 37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**3 - 2*k**2 - 6*k + 5. Let p be q(3). Let t = p + -127. Solve 5*r + t*h = h - 17, 23 = -3*r - 5*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 173*x**2 - 3*x + 346*x**2 - 159*x**2 to a*x + k + t*x**3 + p*x**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {r: 2, q: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**(-3\/25)*(i**(-4\/3))**(8\/11))**(-3) assuming i is positive.\nAnswer: i**(899\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.54944 - -0.05144. Round g to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3159)*-6 - (sqrt(3159) - sqrt(3159)*-2)*-3)\/((-2*sqrt(24))\/sqrt(8) + 1*sqrt(6)\/sqrt(2)).\nAnswer: -189*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = q + 6, -4*q - 3*d + 36 = -q. Solve 24 = 5*s + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0318791 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 3*l - 2. Let z be d(2). Suppose q - 30 = -q + 2*c, z = 4*q + 4*c - 100. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -980, -1959, -2938?\n\"Answer: -979*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -75571200 to the nearest one hundred thousand.\nAnswer: -75600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 2, d: 1, v: 6}. What is prob of sequence ve?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 4*b. Let u(f) = f - 10. Let h be u(0). Let d = 25 + h. What is the highest common factor of b and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110111102202 - -1?\nAnswer: -110111102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5 + 3, 4*z + 36 = 4*w. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 88, 114, 122, 106, 60, -22?\n\"Answer: -v**3 + 45*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 18 = -22*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2998*o**2 + 2999*o**2 + 257*o + 14 - 246*o. Let s be ((-3)\/2)\/((-3)\/(-20)). Determine d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 546*h - 48*h - 352*h + 529*h + 727*h to the form b*h + i and give b.\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.42789 millennia to centuries.\nAnswer: 304.2789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/9? (a) 5 (b) 3861 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 3}. What is prob of sequence uu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 904\/(-44635)*570\/456?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 37. Suppose s + 45 = i + 2*s, -s + l = 0. Does 7 divide (14\/4)\/(5\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-3) + (3 - 4)\/1. Let q = -0.81 - 1.19. Sort -1, q, j.\nAnswer: q, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 = 2*a + a, 0 = -2*a - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002026392 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54.7985+10\nAnswer: 64.7985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18817.\nAnswer: 31, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -116746 divided by -2\nAnswer: 58373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -3\/5 (c) -49.7 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35375 - -1131989\/32. Find the common denominator of g and 2\/(-9) + 547\/396.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 746, 785, 824?\n\"Answer: 39*o + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*i = y - 82*i - 12, 0 = -y - 3*i - 8. Calculate the smallest common multiple of 242 and y.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n - 2. What are the prime factors of j(4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4840.2 + 4840. Let x = 15 - 7. Suppose l = -3*l + x. Which is the smallest value? (a) -2 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23667 is divided by 23656?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 38*p. Let i(w) = -w. Let k(l) = l - 4. Let o be k(6). Let v(g) = 5*g. Let s(a) = o*v(a) + 11*i(a). Calculate t(s(n)).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*k = -8728 + 8491, 2*l + 169 = -3*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-646*q**3 + 2172*q**3 - 4266*q**3)*(-4*q + 3*q - 2*q) to t*q**4 + f*q + u*q**3 + d + o*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (38 - (-4 + -1)). Let u = p - 21. Solve -28 = 4*d - 4*c - 12, 0 = 5*d + 2*c + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-465)\/(-150)*5)*(-33)\/6*5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:05 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -4 (b) -2 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -m + 1, 5*k - 23 + 6 = 4*m. Suppose -2*g + k = p - 6, -g = -1. Suppose 3*q + 0 = w - 2, -p*w - 2*q + 44 = 0. Solve 0 = -3*x - 7 - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367907331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxqx when four letters picked without replacement from xxxq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + -1 - 6*sqrt(15)\/sqrt(3)) + (sqrt(45)\/sqrt(441) - sqrt(5)) + 5*(-3*sqrt(5))**2.\nAnswer: -41*sqrt(5)\/7 + 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 - 141. Suppose -2*q + 3221 = k*i, 2*q + 14 = 3*i - 3227. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23346.99 - 23141. Let z = 206 - s. Which is the closest to z? (a) 2 (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 7*j**2 + 4*j - 7. Let s be o(-6). Let w = 870 + -868. Sort s, w, -1 in ascending order.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2 = 5*b, -b - 4 = -3*b - 4*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*l = -5*l + 39, -3*l + 50 = 4*a. What is the remainder when 32 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.2, 3, 2\/5, -2 in increasing order.\nAnswer: -2, -0.2, -2\/11, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 15*v**2 - 2*v - 5. What is the tens digit of y(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589717207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 28\/3*j**2 - 196\/3*j + 63 - 4\/9*j**3. Solve t(b) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 6, n: 2, z: 10}. Give prob of picking 2 n, 1 z, and 1 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**5 + 92*n**4 + 648*n**3 - 1828*n**2 + 1374*n - 280 = 0.\nAnswer: -7, 1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160056829?\nAnswer: 29, 151, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let c be p(6). Let s be -2 - c*(-3332 - 1). What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*o**3 + 2 - 224*o + 229*o - 3 - 2 in the form a*o**2 + n*o + g + q*o**3 and give q.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24388\/5 + -4878. Which is the fourth smallest value? (a) k (b) 0.5 (c) -0.03 (d) -5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 69*h + 58. Determine a(-68).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:28 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (-14 + 13 - (-26)\/(-3)) and 55\/133.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871956198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -1484 + 4124. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -767*f**6\/30 + 683*f**2\/2 - 41*f + 2. What is the derivative of l(u) wrt u?\nAnswer: -3068*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 285. Let t = 0 + -2. Let p = 2.5 + t. Which is the biggest value? (a) p (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 1. Let d be m(6). Let x = -12\/745 - -44928\/14155. Let r = 256\/57 - x. Which is the second biggest value? (a) r (b) d (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:32 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 + 47*u - 11. Let r be c(-7). What is the second derivative of -51*j + 0 - 8*j**r + 84*j + 13*j - 1 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 41\/3666 (b) 0.1 (c) -0.046 (d) 0.5 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 28. Let z = -43 + h. Let y = -20 - z. What is the closest to -1\/2 in y, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5192.9 - 5193. Which is the nearest to 3? (a) -29 (b) -3 (c) 3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11012404220 + -3?\nAnswer: -11012404223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23606 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Suppose 24 + 6 = 5*z + 2*i, -2*z = -3*i + 7. Let n(h) = z + 1 - 9*h - 5. Calculate n(l(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 + 2*r**3 + (4*r + 0*r - 5*r)*(2*r**2 + 13*r**2 - r**2) + (-2*r + 2*r + 2*r)*(0*r**2 - 3*r**2 + 2*r**2))*(3*r - r + r).\nAnswer: -42*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let u(c) be the third derivative of 0 + 0*c + 7*c**2 + 0*c**3 - 1\/8*c**4. What is i(u(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 2*w + 59*w**2 + 8*w**2 + 1 - 2*w - 8*w**2 + 6*w as g + h*w**3 + s*w**2 + o*w and give s.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-4 + (16 - -3 - (24 + -16))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1238, -2335, -3426, -4511, -5590, -6663, -7730?\n\"Answer: 3*b**2 - 1106*b - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1260 and 1092.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-112 - (-236 + 103)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*o - 90 = 256*o - 2*w, 28 = o - 5*w for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuyyuuzuuynpyzyu. What is prob of sequence unz?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-105)*(-154)\/(-165))\/(-2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1827501 divided by 611.\nAnswer: 2991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (2\/(-16))\/((-9)\/108))*(-12)\/10. Suppose 0 = 2*q + 3*n - 26, n + 42 = 5*q - 3*n. Solve -o*u + q = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -5. Suppose 5*c = -0*d - d + 21, m*c = 3*d + 17. Let w(y) = y**2 - 2*y - 4. Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*c - 1, -9*c + j = -7*c - 3. Let i(q) be the first derivative of -27*q**2 + 6*q**3 + 8 + 54*q - 1\/2*q**c. Determine h, given that i(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316842.\nAnswer: 2, 3, 52807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27 take away 31147635?\nAnswer: -31147633.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 57.00874 micrometers?\nAnswer: 0.00005700874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171.2 - -27.6. Let h = n + 144. Let y = -0.09 - 3.91. Which is the second smallest value? (a) h (b) y (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/12 - (-2)\/3. Let s = 4 - b. Let x be 3\/(s\/(60\/(-9))). Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*l + 1. Suppose 4*n - 12 = 0, -2*t - 46 = -4*t - l*n. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 + 287175*j**3 + 25*j**2 + 1991*j + 7 wrt j.\nAnswer: 24*j + 1723050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14754717 at most as big as -14754730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 + y + 5. Let o be f(3). Is 15 a factor of ((-23)\/(-2))\/(o + 1673\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-53 - (-3234)\/54).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*k = -6*k - 91, -2*k + 130 = 5*g. Suppose h = -2*h + 36. Calculate the greatest common factor of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 45 = -56*z + 3*o, 4*o + 19 = -z - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (113\/(-2))\/(-22 - -20 - 57\/(-30))?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 304 and -0.2.\nAnswer: -60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2255 + 2253.9. What is l rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd7 (base 14) to base 5.\nAnswer: 40131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:09 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1 (c) -30 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1891 - 5.3\nAnswer: -1896.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/80 and 117\/1880.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 12\/7, -5, 2368?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 54*d - 17. Give w(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5153 + -41?\nAnswer: -5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 5aa4dc4?\nAnswer: -5aa4dc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 9*z**2 + 24*z + 119. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddq when three letters picked without replacement from rbtqrdbdbbdbb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086755?\nAnswer: 3, 5, 11, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168772688 and 5358?\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxlflflfx. Give prob of picking 4 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/6 - (1 - 2). Let c = 2 + w. Let h(f) = -4*f**2 + f**2 + f**2 + 3*f**c. Let s(l) = 3*l. Calculate s(h(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 48, 61?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957 at most -4.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 5*m - 4*l, -2*l - 11 = -5*m + 15 + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29107 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 18 + 1 + (3 - -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6489684.\nAnswer: 2, 3, 71, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 52 = -3. Let h be (-3)\/(-2) - a\/(-22). Solve -h*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2)*7\/(-14). Let o be (-1 - j) + 39\/12. Find m such that 1\/4*m + 0 + o*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.11 + -21. What is the smallest value in r, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*-1*sqrt(294))\/(sqrt(147)*3 + sqrt(18)\/sqrt(6)*-5))**2.\nAnswer: 441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 52\/(-14) + 4\/14. Put 2, 2\/343, f in increasing order.\nAnswer: 2\/343, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:25 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x\/(x**(-1\/2)\/x))*x*x)**41 assuming x is positive.\nAnswer: x**(287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 27 + 22. Let p be (-46)\/(-3) + -3*i\/(-9). Solve 13*k = 10*k - p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 49*f**2 - 3829*f - 11449. What is r(-3)?\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u + 5*d - 60, -5*d = 4*u - 242. What are the prime factors of (-4)\/(-18) + 9940\/u?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728 - 93448836184.\nAnswer: -93448836912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12862416.\nAnswer: 12862416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44250*r - 19085*r + 82244*r - 42408*r)*(-2 + 2 + 3*r).\nAnswer: -70497*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, h: 6}. What is prob of sequence hh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*t + 12, -13*t + 18*t = q - 12. Let p(i) = 7*i**3 - i**2 + 2. What is p(t)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*a - 655, n - 131 = -3*a + 2*a. Let v = -128 + n. Solve 1 = v*l - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -4670?\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*i - 11, i + 57 - 56 = 5*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -283, -639, -1139?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1738.5 - -1739. Which is the nearest to -4? (a) -0.2 (b) p (c) 7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-83 - -82) + (2 - -28) + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 2*r**4 - r**3 + 2*r**2 - r - 2482. Determine k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from {b: 2, l: 4, h: 2, r: 2, j: 3, a: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 609811 or 3049061\/5?\nAnswer: 3049061\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/25*10\/(-14). Put 1\/3, q, -4 in descending order.\nAnswer: q, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*l = 38, -t + l = -2*t + 6. Let x(a) = -a**3 + 7*a**2 + 4*a + 65. Let d be x(0). Calculate the highest common divisor of t and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000039651 rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/3 + (-2)\/(-6). Let v(j) = j**2 - 61*j - 2262. Let b be v(-26). What is the remainder when a\/(-2)*-4 - b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197\/(-1970)*30\/60\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -1 - ((4 - 49) + (-137 - -112)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5323999 to 2 dps.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125 + (-145960)\/(-1157))*13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918\/725 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -322021?\nAnswer: -322012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 14. Let g be a(9). What is the third derivative of -16*x**6 + 7*x**2 + x**6 - 2*x**4 + 2*x**g wrt x?\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*t**2 - 226*j**2 + 3*j*t**2 + 11*j*t + 1649*t**2 - 3*t wrt t?\nAnswer: 2*j**2 + 6*j + 3298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1139*r**3*v**3 - 378*r**3*v - 4*r**3 - r**2*v**3 - 4*v**4 + v**2 - 2*v wrt v.\nAnswer: 6834*r**3 - 6*r**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5714.1mg?\nAnswer: 5714100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2\/2 + 3*u - 2. Let j be r(-5). What are the prime factors of (-1)\/1 - (j + -31)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -7*m**3\/3 + 44*m - 1. Let u(r) be the first derivative of 14*r**3\/3 + 40. Give u(t(d)).\nAnswer: 2744*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*27\/(-48)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5090 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 1 z when three letters picked without replacement from {w: 1, k: 1, z: 4, d: 5, s: 3}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Suppose -4*k + 4*g + 32 = 0, r = 5*k + g - 7 - 3. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from wjaeaprr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 - g**2)*(21*g - 21*g + 14*g**3).\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 0 - -1) + (-63 + 97 - 38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94*-767786\nAnswer: -72171884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002548834227 to seven dps.\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:39 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 30*z + 72*z + 43*z - 63*z + 11 to the form k + w*z and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13094 + 13773. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -86*m + 99. Let h be f(-7). Let l = 1154 - h. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5158889163?\nAnswer: 3, 1489, 128321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 81, 0 in descending order.\nAnswer: 83, 81, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6905 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1.1, -4\/9, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 18*b. Let h be k(18). Solve 17 = -3*s - 4*l, 5*l + 4 = 2*s - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*f + 173*f + 5*y - 901735 = 0, 0 = 4*f - y - 901765. Round f to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*r + 241*r - 4640 = -4*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**5 + p**4 + p**3 + p. Let d(i) = -17*i**5 + 4*i**4 + 4*i**3 - 2*i. Let u(y) = -d(y) + 4*o(y). Find the second derivative of u(q) wrt q.\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.323 + -857.227. Let u = x - -911. Let t = u + -24. Round t to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 203 = -0*p + 3*p, -3*p + 5*k = -188. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -369097*w + 630021 wrt w?\nAnswer: -369097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 + -0.13. Let d = 0.23 + o. Round d to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 0 + 1\/2*o**3 + 2*o**4 - 7*o**2 = 0. What is o?\nAnswer: -2, 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23442 + 0.5.\nAnswer: 23442.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/145139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 68 - 52 + 175 - 1018*u to q + r*u and give r.\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/3)\/(1 - 3). Suppose 12 = p*j - j. Suppose 0 = -3*n - 2*a + 8, -2*n - j*a + 8 + 0 = 0. Solve -3*g + 23 = -4*v - v, -3*v = -n*g + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774059.053 rounded to the nearest one thousand?\nAnswer: 774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12667*z - 12707*z + 760 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w + 14*w + w + 5*w**2. Let x(a) = -2*a**2. Calculate u(x(v)).\nAnswer: 20*v**4 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6)*-5)*1*4)**2 + -5*sqrt(133)\/((-4*sqrt(21))\/sqrt(3)) + 1.\nAnswer: 5*sqrt(19)\/4 + 329\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-48)*(-7 + 1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 138 = -3*h, -4*q - 78 = 3*h - 213. Let n = h + -33. Suppose -k + 0*k = -18. What is the least common multiple of k and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 220430 - -32?\nAnswer: 220462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12 + 3*x + 12.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346571*t**5 - 162*t**3 - 237159642*t.\nAnswer: -6931420*t**3 - 972*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 62517147.\nAnswer: 187551441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209)*3 - sqrt(209)) + sqrt(209))\/(sqrt(55)\/(sqrt(5) + (sqrt(5) - sqrt(60)\/sqrt(12)))).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/11)\/((-16400)\/45100)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 1202, 1800, 2398, 2996?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x. Suppose x*z - 4 = z. Let g(c) = c**2 + 5*c + 5. Determine g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) -5 (c) -0.127 (d) 1.57 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - j + 6, 5*j = 0. Let t be n\/(3 + 68\/(-20)). Solve -t*f = i - 10, -3*f - 2*i + 2 = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4772, 4779, 4792, 4811, 4836, 4867, 4904?\n\"Answer: 3*a**2 - 2*a + 4771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36013 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 17774, 0, 1\/35, 4\/7 in descending order.\nAnswer: 17774, 4\/7, 1\/35, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 2863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - v - 3*v)*(-7 - 5 - 8)*(0*v - 2*v - v) in the form l*v**2 + k + h*v and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 10) to base 11\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -42, 1, -5, -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4784 divided by 80660.\nAnswer: 1196\/20165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.315 - -2.815. Put 1\/9, 4, 12, s in descending order.\nAnswer: 12, 4, s, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50752277.\nAnswer: 4159, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -3*s**5\/80 - 3*s**4\/16 + 3*s**2\/2 - 17*s. Solve l(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-14) - (-3956)\/(-1505). Which is the second smallest value? (a) -2\/15 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 2*r, -4 = 5*r + 2*q + 12. Let i be (-48)\/(-40)*(r - 1). Is 4116\/52 + i\/39 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t + 362. Calculate the remainder when 213 is divided by y(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*l**4 + 509*l.\nAnswer: -1248*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7779 - 7779.18. Which is greater: r or 0.283?\nAnswer: 0.283","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = 24*x - f + 5, -4*x + 24 = 5*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-40)\/(-10))*(-640)\/1040?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 18*v**2 - 14*v - 25. What are the prime factors of d(19)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 30*c**2 - 7*c - 6. Let n(q) = -47*q**2 + 11*q + 9. Give -8*l(a) - 5*n(a).\nAnswer: -5*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -619 + 675. Let h = -58 + 109. Let v = h - a. Sort 2, 4, v in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 3*y - 8. Let m be u(-3). Is 18 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16376 and 22355287.\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -aa73 (base 11) to base 10\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:43 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 102)*(22 + -3). Round v to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 27 (b) -4\/3 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1\/4*d**4 - 1\/3*d**3 + 0*d**2 + 0*d - 99. What is a(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -41. Let b(q) = 15*q - 4. Calculate the remainder when 49 is divided by b(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpmm when four letters picked without replacement from {f: 1, g: 6, m: 3, u: 2, p: 4}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/6435)\/(((-1)\/13)\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.05. Let b = 763612 - 763614. What is the third smallest value in 1\/4, u, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 - 191. Calculate the remainder when 13 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 2*c - 3520 = -7224 + 3500 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.8 (b) 1 (c) 30\/17 (d) -192.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 19890 = 22*z. Is 39 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 88*g**2 + 35*g + 19. Let l be h(-43). Calculate the greatest common divisor of l and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 + 15. Let z(g) = -4 + 2 + 1. Let p = -59 - -59. Suppose p = -5*n - 2*d + 72 + 13, 5*n - 100 = -5*d. What is n*z(l) + v(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2225.356 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/7)*k**(-4)*(((((k\/(k**(11\/4)*k)*k*k)\/k)\/k)\/k*k)\/k)\/k*k**(4\/19))**(-9) assuming k is positive.\nAnswer: k**(34731\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -368\/2383707?\nAnswer: -368\/2383707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/(-105))\/((-2)\/25). Suppose o - 2*x - n = 0, -o + 3*x + 5 = -9. Let v = 4 - 0. Solve -v*l + 12 = 4*c, 3*c + l - 5*l = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 7, o: 4}. Give prob of sequence soj.\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1928725 * 0.0523.\nAnswer: 100872.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/3 - 2*w**2\/3 - 8. Factor d(o).\nAnswer: 4*o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36677923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 12. Let a = y + 9. What is the smallest value in 4, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 5, -1492, -167.\nAnswer: -1492, -167, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 25 = 4*n. Suppose -105 - 120 = -n*w. Suppose -4*r + 2*f = -4 + 34, 0 = 5*r - 4*f + w. Is -6 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.14795?\nAnswer: 0.05918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n\/(n\/(n**3\/n)))\/(n\/(n**(1\/10)*n)*(n*n**(1\/3)*n)\/n*n) assuming n is positive.\nAnswer: n**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-7)\/14 - (-98)\/10 and (6\/(-36))\/(3\/330).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3184 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*j = -41*j + 9774 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4446 and -71\/4.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36261387*o**2 - 372678274?\nAnswer: 72522774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1943.2984 to the nearest 10.\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 1269273.\nAnswer: -10154184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 188, 402, 700?\n\"Answer: 42*n**2 + 4*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 2. Let y(r) = -2*r + 10. Let n(p) = y(p) - 4*z(p). Calculate n(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*w + 74*w + w**3 + (185*w - 377*w + 190*w - 101)*(-w**2 - 2*w**2 + 4*w**2).\nAnswer: -w**3 - 101*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20061.15ml in litres?\nAnswer: 20.06115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -203 + 172 + 12 + 0 + 5 - 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-207)\/9 + (-425)\/(-17). Factor -3\/5*l + v - 1\/5*l**2.\nAnswer: -(l - 2)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 24*s**2 - 7*s + 22. Is 24 a factor of k(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 64. Let o(s) be the third derivative of -1\/6*s**c + 0*s + 3*s**2 + 1\/12*s**4 + 0. Find the first derivative of o(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a - 6b?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1965.84846 rounded to two decimal places?\nAnswer: -1965.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21801 = 44201*f - 43694*f for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090 - 589 - 7*x - 501.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 + 2*c - 4. Let t be n(3). Solve 3*s + 2*q = -t*q + 16, q + 19 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u + 1. Let d be o(1). Suppose -11 = -w - 3*a, 0 = -3*w + 3*a - d - 3. Suppose 0 = w*q - 2 - 2. Solve 0 = -q*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 + 3*l - 2. Let x(g) = g. Give r(h) - 5*x(h).\nAnswer: 10*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10011010010101101111100101?\nAnswer: 10011010010101101111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.15. Let w = t + 3.05. Let i = w - 3. Which is the closest to i? (a) -2\/13 (b) 5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -298612 (b) -1\/4 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 822960 divided by -6\nAnswer: -137160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9248.557 kilometers?\nAnswer: 924855700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/24 - 4*l**2. Let y be o(4). Suppose s + n - 1 = y, 4 = -n. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3513 = 19*k + 758. Let i(g) = -9 - k*g**2 + 9 + 140*g**2. Let l(s) = -3*s. Calculate l(i(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6551837.\nAnswer: 4\/6551837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8489 and 30825518.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2001*m**4\/2 + 228339*m**3\/2 - 3323535*m**2\/2 - 3704643*m\/2 - 77385 = 0. Calculate m.\nAnswer: -3685\/29, -1, -1\/23, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 307*o - 1228. Let b be k(4). Sort b, 1, 29, 4 in decreasing order.\nAnswer: 29, 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j = 117*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64423442 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001163768 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, v: 8, u: 1, n: 1}. What is prob of sequence vnju?\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y**2 - 5*y + 1. Let f(d) = 13*d**2 - 5*d + 3. Let k(b) = -5*f(b) + 6*g(b). Let v be k(7). What is the greatest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125 - -1?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 172, -6, 0.2 in descending order.\nAnswer: 172, 2, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, -28, -10, -0.4 in decreasing order.\nAnswer: 35, 1, -0.4, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2446405339 and -5.\nAnswer: -2446405344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 2*b + 484, b = -4. What is w rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a. Let p be (-76)\/(-32) - (a - -2). What is the smallest value in p, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -70162.\nAnswer: 36\/35081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 times -223217\nAnswer: -14955.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4894, -9, 177, 1 in decreasing order.\nAnswer: 177, 1, -9, -4894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4380)\/4015 - (-441)\/11?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + p - 4 - 3, 7 = n + 4*p. Let o(z) = 14*z**2 + z + 1. Let x = 120 + -80. What is the remainder when x is divided by o(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 807.0423 - 807. Round i to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 34*m**3 - 7108*m**2 + 7484*m + 819. Determine u(208).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -12. Let l be 29\/3 + k\/(-18). What is the lowest common multiple of 8 and 4\/3*l - -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-2 - 1)) + -42. Let q be p\/(-25) - 2\/(-10). What is the second derivative of t**q + 2*t - 3*t + 2*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 4. Let b = u + 56. Let n = -8 + b. Solve -5 = -2*w + j, -2*w = -6*w - j + n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 10*f - 5. Let b(y) = -5*y**2 - 21*y + 10. Let w(a) = -3*b(a) - 7*h(a). Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38102*k**3*y**3 - 1283*k**3 - 2*k**2*y**4 + 10*k + 3*y - 1 wrt y.\nAnswer: -228612*k**3*y - 24*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**2\/5 + 132*c\/5 + 2403 = 0.\nAnswer: -45, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.2497 + -0.1397. Let d = j - 8. Round d to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47875, -95623, -143371?\n\"Answer: -47748*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 89.74. Let w = s + -9.26. Let g = 1197\/11 + -109. Which is the third smallest value? (a) -0.3 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 881*m*p**3 + 3*m*p + 2*p**2 + 144*p wrt p.\nAnswer: 5286*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22980*j**3 - 51417*j**2 wrt j?\nAnswer: -137880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84515 - 39408. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/29500 and -26\/85.\nAnswer: 501500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 877.5 - 522.8. Round g to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, -41 in descending order.\nAnswer: 15, 2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14280 divided by 5\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4576741ml to litres.\nAnswer: 0.0004576741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/59724486 and -139\/145993188?\nAnswer: 1313938692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/363 and -52\/21?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/172344 and 107\/1436200.\nAnswer: 4308600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10.8 times 0.043955\nAnswer: 0.474714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 5*y**2 + 15*y + 38. Determine d(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 90671\nAnswer: -453355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 11*r**3 - 16 - 5817*r + 2*r**2 + 5820*r to b + g*r**2 + v*r**3 + u*r and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 2623 - 24680 - 10587 + 1434*k + 116276 + 87731.\nAnswer: 3*(k + 239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 6900*t - 6890*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.68391 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161351 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -107*w**3 - w**2. Let l(u) = 106*u**3 + 2*u**2 - u. Determine -2*l(q) - 3*r(q).\nAnswer: 109*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5466 >= -101.259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 3*z - 15*z)*(-z + 2 + 7 - 1)*(2 + 3 - 3) + (z - 2*z - z)*(-2*z - 3*z + 6*z).\nAnswer: 40*z**2 - 336*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 918*c**3 - 8 - 3*c - 11 - 921*c**3 + 3*c.\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + 4\/2. Let t = 24 - 22. Sort 3, t, w.\nAnswer: w, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-10) - (-1014)\/195. Let t(f) = 3*f**2 - 3*f + 41. What are the prime factors of t(n)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -9 + -17 + 6 - (-6 - -10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*v + 66, 3*v + 34*c + 66 = 37*c for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 144. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21023*b**2*v**2 - 2*b*v**2 - 2*v**2 - 1002 wrt b.\nAnswer: -42046*b*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-14)\/12*(-42 + 39).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120851434?\nAnswer: 2, 11, 2311, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 57, 163, 353, 651, 1081, 1667?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - w + 4 + 7, -5*x - w - 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4258485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152049 is divided by 1511.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4476 = -44*g + 50*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82691.\nAnswer: 7, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (230\/1035)\/(1\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465 divided by 579256.\nAnswer: 465\/579256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 2\/5*r**6 + 28*r**2 - 9\/5*r**5 + 0*r**3 + 2\/105*r**7 + r + 7\/3*r**4 + 0. Suppose t(n) = 0. Calculate n.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -3*j - 51 + 11. Sort -37, 2, -2, -7, j in decreasing order.\nAnswer: j, 2, -2, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.844 - 0.136. Let x = b + -0.32. Sort x, 1\/3, -4 in decreasing order.\nAnswer: 1\/3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 567798.\nAnswer: 2271192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, 8, 4, 3\/8, 1\/64?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*i**4*z**3 - i**2*z**3 - 232*i*z**3 + i*z wrt i?\nAnswer: -1956*i**2*z**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-60))\/(2\/(-40)*2). Solve -a - 2*n = -9, -p*n + 9 = 3*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294228670.6 to the nearest 1000.\nAnswer: -294229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7979 or -7978?\nAnswer: -7978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:44 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2119554 is divided by 255?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(7\/6)*o**30*o*o)\/(o**(-13))**(4\/3))**(17\/6) assuming o is positive.\nAnswer: o**(1717\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5960617081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/1*20. Let y be (c\/12)\/(2\/15). Calculate the highest common factor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from yspfkufs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51015457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3\/2 + i**2\/2 - 8*i. What are the prime factors of j(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 2664.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1509 = -5*y + v, 1 = -3*v + 4. List the prime factors of y.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Let g(o) = -8*o**2 + 142*o - 52. Let v be g(16). What is the tens digit of l*v\/8*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/80 and -39\/92408.\nAnswer: 924080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -3 - 14 - -1. Let f(x) = x**3 + 13*x**2 - 24. Is 10 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.39 and -2346.3.\nAnswer: 915.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 < 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2, -54, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-1 - 1 + 0)*(-9 + 6 - 3)*(5*q**4 - 4*q**4 - 3*q**4).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24242 (base 6) in base 4?\nAnswer: -313202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 3519*q**4\/4 + q**3\/3 + q**2\/2 + 2*q - 1. Let b be y(-2). Let c = -48048 - b. What is c rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19739 and 4744.\nAnswer: -936.41816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1516.0004662 - 1516. What is j rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -9, 4, 46, 7, 13 in descending order.\nAnswer: 46, 13, 7, 5, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35\/8 - 299\/72. Put s, -0.3, -2\/11 in decreasing order.\nAnswer: s, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 0 + (-1357 - -1311) + 0 + 33\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -66 (c) 0.2 (d) -67\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45904 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8626 and 17176.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7533 (base 8) to base 14.\nAnswer: -160b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-24) + (-17)\/(-6). Solve 3*f = -f - 2*w - 2, v*f + 4*w + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1344301 (base 6) to base 2\nAnswer: 10010100101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/15 - 2\/(-6). Suppose -h*m + 2 = -2*m - 2*g, g - 4 = -2*m. Suppose m*a = -1 - 9. Which is smaller: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = 22. Let u(z) be the second derivative of -z**5\/10 - z**2 - 3*z. What is the smallest common multiple of r and u(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*t + 230, -2*j - 3*j + 187 = -3*t. Let x = t - -61. Is (-4)\/16*-2698*x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 + 5 + 0 - 2)*(32*p**3 - 4*p**3 + 0*p**3) to i*p + s*p**3 + r + j*p**2 and give s.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {g: 2, o: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, a: 7}. What is prob of picking 2 l?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366 and 21?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2783*z - 2783*z + 6*z**2. Let i(y) = -48*y**2. Calculate i(x(k)).\nAnswer: -1728*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s + 9*s - 781 - 294. Solve s*r = -20 - 152 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/3 less than or equal to 25.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/8*5*(-24)\/(-150).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103533 (base 6) to base 11\nAnswer: 6531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 813159 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/761 and -103\/1875104.\nAnswer: 1875104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 8*k + k + k + 7*k as t*k + m and give m.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -0.45. Let r = -0.03 + -3.17. Let d = r - s. Which is the second smallest value? (a) 2 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.028 + -0.272. Which is the closest to -0.1? (a) 1 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 50*h**3 + 2*h**2 + 5*h - 8. Let k be (-16)\/(-20)*((-45)\/(-6))\/3. What is the tens digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2896 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 0\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382 is divided by 508?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, -1, 0.1, -0.4, -0.024?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235298 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k + 68*k + 369 = 0. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-3)*(-8)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 206662.994 to the nearest one hundred.\nAnswer: 206700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + f + 5 = 0, -2*x + 5*f = -x - 9. Let d = -3 - x. Let z = 8 + d. Solve 3*h = -z - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/24 + o**3\/6 - o**2. Let m be (2\/(-4))\/((-1)\/10). Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -0.59. Let h = -0.01 - x. Which is the third smallest value? (a) -1 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001903018 to seven decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d1 - -1?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**4\/7 + 690*c**3\/7 + 5799*c**2 + 116904*c\/7 + 77004\/7 = 0?\nAnswer: -46, -2, -1, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3332411, -6664821, -9997233, -13329647?\nAnswer: -16662063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*j, o - 4*j = -20 + 33. Solve 0 = 3*p + 5 + 7, 3*p = -o*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14159 - -14537. Does 63 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.154522 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.37496 and 0.3?\nAnswer: 8.212488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980941.9 meters to kilometers.\nAnswer: 980.9419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -1, 3570.\nAnswer: -1, 3, 10, 3570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18*-14\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ca + 4?\nAnswer: 1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2321 and 2.\nAnswer: -4642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3788.1973 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, -0.2, 0, -65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -3*l**6\/2 + l**5\/5 + 39*l**2\/2 + 2*l - 272. Differentiate i(t) wrt t.\nAnswer: -180*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8 = -5*b, 3*b - 2*w = -238 + 220 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1757 and 8?\nAnswer: 14056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o + 5*o - 5*o + 27*o**3 + 13*o**2 + 9*o**2 + 202*o**3 wrt o.\nAnswer: 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 - 245 = 36*p. Let i = -7 + 7.4. Let q = i + -0.33. Which is the closest to -1? (a) 3\/5 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 19*m - 18*m, -4*z + 16 = -m. Suppose 9 = 5*t - 2*v, 24 = t + 2*t + z*v. Suppose -3*j = 17 - 41. Solve t*n = -s + 3*s + 4, 4*s = 4*n - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -3\/65, -1.03651?\nAnswer: -1.03651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4030, -16141, -36318, -64561, -100870, -145245?\n\"Answer: -4033*k**2 - 12*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-1)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from {y: 1, g: 2, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 - 1306651*l**3 + 1217136 wrt l.\nAnswer: 8*l**3 - 3919953*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20662, 41657, 62974, 84607, 106550?\nAnswer: 128797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326 - 166. Let f(u) = g*u - 76*u - 103*u. Let v(c) be the first derivative of 2*c**3\/3 - 2. Give v(f(k)).\nAnswer: 722*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - z**3 - 87 + 219 - 323*z**2 + 323*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10991*g*j**3 - 1710351*g*j - 2*g - 1117*j**3 wrt j?\nAnswer: 65946*g*j - 6702*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a + 45*a - 9*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 4 + 5 - 7 - u. Let q be n(-8). Solve 0 = a - 5*d - 18, d + q = a - 2*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*o - 2*h - 29, -4*o + h + 17 = 0. Let a = 10 - o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/13 + (-5)\/(-130)*-4. Let y be ((-12)\/(-72))\/(71\/1706) + q. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 227, 507, 899, 1403, 2019?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-74 + 26) - (5 + -4)) + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72720.190363 - 72721. Let g = 4.8 - 5.61. Let h = t - g. What is h rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:24 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 minus 2008?\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32044 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.01. What is the third biggest value in -1, m, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(475) - (3*sqrt(171))**2).\nAnswer: -1542 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/9 - (-4)\/18. Let x = z - 2. Let r = 0.9 - 0.4. Which is the closest to 0.1? (a) r (b) x (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 685152.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 883031 - -0.01.\nAnswer: 883031.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 12. What is the units digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/5 + 171*f**4\/5 + 153*f**3\/5 - 9591*f**2\/5 + 8244*f\/5 + 3564 = 0. What is f?\nAnswer: -55, -9, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9417*x**2. Let f(c) be the first derivative of -c**3\/3 + 2647. Calculate o(f(g)).\nAnswer: -9417*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 236441819 and 0.33.\nAnswer: 236441819.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (328 + -335)\/((-2)\/9 - 2*(-19)\/9).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -67*k - 2. Let j(l) = -134*l - 3. Let y(n) = 3*j(n) - 5*o(n). Does 17 divide y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - t - 3 + 25 = 3*a, 0*a - 6*t + 140 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 62835 * -0.1\nAnswer: -6283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/8, 27, 0.3, 5, -45\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 3 + -7 - (4 + -2 + (2 - -1)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -48\/7, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*3*(-9)\/81*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u. Suppose u*m = -4*m. Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*h**6 - 6*h**5 - 2*h**3 + 864*h**2.\nAnswer: 18600*h**3 - 360*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**6 - 1166*x**4 + 5595*x**3 - 64410998*x**2?\nAnswer: 120*x**3 - 27984*x + 33570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 c, and 1 a when four letters picked without replacement from {a: 1, c: 1, q: 1, y: 2, e: 2, p: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -1 + (656 - 757).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.23129 - 65286.\nAnswer: -65319.23129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 3}. What is prob of sequence ywwy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 163384.076 to the nearest ten.\nAnswer: 163380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 224\/42 + (-1)\/3. Suppose -p - 4 = -j*p. Let x(u) = -47*u + 4*u**2 + u**2 + 46*u. Determine x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2*n - n)*(4 - 3 + 1) + (71*n - 277*n - 118*n)*(0 - 1 + 0).\nAnswer: 328*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*j + 14 = 0, 5*j = -n + 13 + 10. Let z be 7*(-3 + 2 - n). Find the common denominator of ((-47)\/(-3))\/(10 - z) and -85\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z. Let d be 804\/18 + 2\/6. Let j = d + -175\/4. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 642416.1 to the nearest ten thousand.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945*g + 12887*g + 32942*g.\nAnswer: 48774*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 7*m + 8 - 2 + 1 = 0, v - 7 = -5*m for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20)\/a*a*(a**(1\/12)\/a)\/a*(a*a\/(a**(2\/25)\/a))\/a**(-8))**(3\/29) assuming a is positive.\nAnswer: a**(-3299\/2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4723540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/30 and -63\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-5)\/(-3)*3. Let u = -14134 - -56547\/4. Is u not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 85 = -126*x - 924 - 992 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 233*q**2 + 7*q + 8. What are the prime factors of w(-1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 24?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 2, i: 2, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w**2 + 7*w - 37. Let x be n(7). Suppose -140*k = -139*k - x. What are the prime factors of k?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 34 + 16 - 14 = 0, 13*q - 4*w + 36 = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlqrqrrrrrprprp. Give prob of sequence prrq.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 25*u**2 - 3. Let f(i) = i**3 + i - 1. Give -3*f(l) + x(l).\nAnswer: -l**3 + 25*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 + 545736*d + 21832640 = 0.\nAnswer: -40, 272908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(95)*1)\/((sqrt(1250) - sqrt(50))\/sqrt(10)).\nAnswer: -3*sqrt(19)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8545 - 1141 = 1284*f - 473*f + 423*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -68*v. Let w(z) = -605*z**2 + 3*z - 1. Determine b(w(l)).\nAnswer: 41140*l**2 - 204*l + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 2. Let u = b + -8. Are -1 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p**5 + 158*p**4 - 306*p**3 + 82*p**2 + 52*p = 0. Calculate p.\nAnswer: -13, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10101010?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/30 + 23*s**3 - 4856*s. Factor z(n).\nAnswer: -2*n*(n - 345)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211122221302 (base 4) to base 9.\nAnswer: 20408651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 33*x**3 + 2 - 2.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 3. Let p(w) = -2*w**2 + 5*w - 2. Let k be p(3). Let n be f(k). Let -g**n + 1 + 0 + 2 - 2*g**2 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05841 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 11*h + 20. Suppose -h*z = -4*z + 3. Which is the biggest value? (a) 0.1 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12998 - -0.03.\nAnswer: -12997.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 y when three letters picked without replacement from {y: 10, b: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-490))\/((374\/(-154))\/17)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*k - 6, -r - 27 = -4*k - 6*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + -6 + (-15 - 2) + 2. Let y = c + 24. What is the remainder when 33 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 = 21. Let f(y) = p*y - 3*y**3 - 5*y + 2*y**2 + 9*y**3. Let t be (0 - -3)*(-1)\/(-3). What is f(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*s + 8*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - a - 39 = 0, 2668*q + 66 = 2670*q - 4*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4\/3)*(y\/(y*y*y**39*y*y*y))\/y*(y*y**(-10\/13)*y)\/y**(-7\/6) assuming y is positive.\nAnswer: y**(-1021\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-9)*(-7)\/(-28)*-15 is divided by 2 + 5\/(-5) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -9, -970, -150?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/325 or -2\/3?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f, 0 = 5*d - 10*f + 13*f - 30. Solve 0 = 9*l - d + 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 99605835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 8*z + 0*z - 10*z. Let n(v) = 14*v + 11. Let a(k) = -5*k - 4. Let x(s) = 11*a(s) + 4*n(s). What is x(m(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29387.68ml to litres.\nAnswer: 29.38768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (87\/6 + 2)*-8*2\/(-24)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 6244.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**9\/15120 - b**5\/24 + b**4\/3 + 5*b. Let h(z) be the third derivative of i(z). Find the first derivative of h(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 38360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*d**4*h**3 + 2*d**2*h**3 + d**2*h**2 + 82*d*h - 2 wrt d?\nAnswer: 2736*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/(-1)*3. Suppose -3*l + g = -117, -3*l + 102 = a*g + 2*g. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 34 - (258 + -254).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 105 = 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from {u: 1, j: 1, d: 1, n: 2, v: 1, k: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*i - o, -5*i - o + 34 = -2*o. Suppose -i = -4*g + 9. Suppose r + 0 = 4*b - 48, 5*r + 20 = 0. What is the remainder when b is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046*w = 1041*w + 475. Calculate the least common multiple of 11 and w.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (-3*-2*sqrt(95))\/sqrt(5)).\nAnswer: 5 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 + 254. Is q a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/(l\/(l\/(l**(-2\/49)*l*l)))*((l*l*(l*l**(-7\/3)\/l)\/l*l)\/l)\/(l**(23\/4)\/l))**(1\/7) assuming l is positive.\nAnswer: l**(-1511\/1372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10938655 and 31\/5915?\nAnswer: 142202515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/168*-4*21\/7*49\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4\/9, 0.06, 0.9, -60\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7812 + 7818. Let l(i) be the first derivative of 0*i**3 - 1\/12*i**c + 0*i + 0*i**2 + 10 + 0*i**5 + 1\/8*i**4. Solve l(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*((-3 + (4 + sqrt(567) - sqrt(567)) + 5)**2 + 5)*4.\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*n - 8, -4*j + 2 = -5*n + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 + -100 - -30) + -1 + -1 + -1 + 31?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-13))\/w**1*w**(-8)\/w*w*w*(((w**(1\/3)\/w)\/w)\/w*w)\/w assuming w is positive.\nAnswer: w**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 - 4\/3*l**4 + 0*l**2 + 0 + 2\/3*l = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 - 226*i - 2549. Calculate s(-41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose 0 = 5*m + 5*v - 75, -j*m + 4*v + 12 = -2*m. Suppose -48 = -3*x - m. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34660 or 34659?\nAnswer: 34660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115437052 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69.7 + -5.3. Let t = n + 74.5. Let j = 27\/11 - 26\/11. What is the second biggest value in t, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244392471 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 81704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m - 17*m - 4 - 8*m + 2*m**3 as s*m**3 + u + y*m**2 + i*m and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -42. Suppose -w*c = m - 13, 4*m = 2*c - m + 21. Solve c = 2*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**0\/v)))**(-30\/11)*(v\/((v*v\/(v*v**(-3)*v)*v*v*v)\/v*v))\/v**3 assuming v is positive.\nAnswer: v**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -797 - -794.6. Is d equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (0 + sqrt(2592))*-6))**2.\nAnswer: 839808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*n - 17*n + 141*n**3 + 79*n + 11*n**3 to h + y*n**3 + z*n + m*n**2 and give y.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*v - 132*v + 16420. List the prime factors of v.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*s + 2*u, 0 = 4*s - 3*u - u - 80. What is the remainder when 81 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 386, 585, 782?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 36 + 7 + 32 - 3*c**3.\nAnswer: -2*c**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47337354.\nAnswer: 2, 3, 2629853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162282.2 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 963*z**2 - 198 - 33 - 80*z**2 - z**4 + 3*z**4 - 52 with respect to z.\nAnswer: 8*z**3 + 1766*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-12))\/((-2)\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, a: 10}. What is prob of picking 4 a?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 25*o = 395 + 25 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.931 times -1.2\nAnswer: -4.7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*z - 4*a, 1531*a - 14 = 7*z + 1534*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1554*j**3*w + 6*j**3 + 3139 wrt w?\nAnswer: -1554*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + -3*sqrt(90)*-3 - sqrt(90))\/sqrt(2))\/((-3*sqrt(2205))\/sqrt(5)).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let w be (-4 + 187\/99 + 2)\/((-2)\/12). Let q = -1\/3 + 0. Sort p, w, q in decreasing order.\nAnswer: w, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*a = -11, -l = l - 4*a + 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*z**3 + 5*z**3 + 2*z**3 - 3*z**3 + (-z**2 - 3*z**2 + 3*z**2)*(3*z - 5*z + 3*z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111101101010011000 (base 2) in base 6?\nAnswer: 112424412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98746 and 14325296.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-1*2 - (sqrt(612) + 1 + 3) - ((sqrt(612) - -2*sqrt(612)) + 0 - sqrt(612))*1)**2.\nAnswer: 240*sqrt(17) + 15316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 20*d - 40. Let v be p(14). Let w = 117 - v. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 2*i**2 - 5*i**2 + 7*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.70592 minutes in microseconds?\nAnswer: 2562355200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chchcchhcchcchccchc. What is prob of picking 2 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212411.\nAnswer: 212411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377021*t**3 + 294*t - 140 wrt t.\nAnswer: -2262126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20) + 2\/(-5) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 660099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 100*o - 105*o + 13 = 0, o + 11 = -14*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3962, 3833, 3738, 3677, 3650, 3657?\n\"Answer: 17*x**2 - 180*x + 4125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 35844 = 0. Let j = f - 4054. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 0.42. Let n = -2 - -1. Let u be 5\/2*(n + 3). Which is the biggest value? (a) u (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137 and 13837?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748283 is divided by 1874132?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11))**(-1\/4)*(z**(-5)*z)**(-27) assuming z is positive.\nAnswer: z**(4753\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2112 less than 894.6481?\nAnswer: 893.4369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*((1*-1*sqrt(980) - (sqrt(980) + (sqrt(980)*1 - sqrt(980)) + 0))**2*-2 + -1).\nAnswer: 31364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -5, -0.8, -6, 0.4, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 19. What is the lowest common multiple of 1 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n - 135. Let i be n\/(-1*(-1)\/3) - 3. Let p = 92 + i. What is the greatest common factor of p and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18851, -76238, -171883, -305786, -477947?\n\"Answer: -19129*f**2 + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:37 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8974, 18405, 28678, 40213, 53430, 68749?\nAnswer: 86590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by -9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**5 + 4*j**5 - 2*j**5 + (-4 - j + 4)*(2*j**4 + j**4 - 4*j**4) + 5*j**5 - 4*j**5 - 2*j**5)*(4 + 3 - 5).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03717 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 9 - 9 = 0. Suppose -16*r + 53 - 5 = s. Let f = 13 - 4. Calculate the smallest common multiple of r and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:29 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*q + 89, 3*r + 3*q - 87 = -0*q. Let k(f) = 1 - 29*f**2 - 32*f**2 - 2*f - r*f**2. Let h be k(1). Round h to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.8823um in meters?\nAnswer: 0.0000548823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11590 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -43 = 23.672799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14414222 + 11947471 + 9404153 = 482*n. What are the prime factors of n?\nAnswer: 74203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let x(m) = m**2 - 4*m + 1. What is the units digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 15*t + 4*t)*(5 + 2 - 5).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-48))\/(35\/((-455)\/234)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((2 - -1) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*l + 16, -4 = -2*a - 4*l - 12. Suppose -a*o - 12 = 12. Let b(r) = -r**3 - 7*r**2 - 7*r - 2. Determine b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326 - 296. Solve -4*v - k = 5*q - 2, 2*q + 2 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -139d9 - 64a?\nAnswer: -14134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*a*z**3 + 49*a*z**2 - 3*a*z + 5*a + 655868*z**3 - 304*z wrt z.\nAnswer: -600*a + 3935208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y. Let g be v(-1). Let h be ((-4)\/g)\/(1\/5). Suppose -3*p - 4*j + 16 - 3 = 0, 0 = -5*p - 5*j + 20. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/16605?\nAnswer: 2\/16605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from ato?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6 + 10 + 2*x + 7*x**2 - 3. Let j(v) = v**3 + v**2 - 1. Let z be j(0). Calculate the lowest common multiple of r(z) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 - 4*f. Let i(z) = 15*z**2 + 17*z - 1. Calculate -2*i(g) - 9*r(g).\nAnswer: 6*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4667 = 3*j, 6216 = 4*j - 31*q + 26*q. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/714*17)\/((-2)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3 + 7*r**2 - 10*r**2 - 2*r**3 - 4*r - 1 + 3*r**3. List the prime factors of m(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 5604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 + 7*b**2 - 38*b - 11. Let a(k) = -16*k**3 + 16*k**2 - 76*k - 23. Determine 3*a(h) - 7*c(h).\nAnswer: h**3 - h**2 + 38*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 380232416*a - 770329177.\nAnswer: 380232416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o - 370095 = 0. Suppose -o = -r + 139306. Suppose 5*l + r = 1963325. Round l to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 60 = 16. Suppose 0 = h + h - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658659631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.466 + -0.5. Let h = x - -34.034. Let w = 34.55 - h. Round w to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j*j\/(j\/(j**(16\/3)*j))*j*j)\/j*j)\/j)*j**(3\/7)*j)\/(j**(-5\/6)*j\/((j*j**3)\/j*j*j)) assuming j is positive.\nAnswer: j**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + i)*(1 + 0 + 0) + 0*i + i + 0*i + 0*i - 2*i + 4*i + 2*i + 2*i - 2*i - 2*i + i + 2*i + 108*i - 2*i - 19*i.\nAnswer: 94*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q + 138*q**2 + 3*q - 532*q**2 wrt q?\nAnswer: -788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-8))\/((-2)\/8). Let d = -9 - -17. Let f be (-2)\/d + (-45)\/(-20). Solve o - r + 6 = -f*r, -g*o - 29 = 4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:48 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/276 and -31\/44.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -5. Let i be r\/(-6) + (-6)\/6. Factor -1\/3*f**2 - i - 2\/3*f.\nAnswer: -(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d + d**2)*(-1 + 2 - 2) + 65*d**2 - 219 + 219 + 18*d**2 - 38*d**2 + 33*d**2 in the form g*d**2 + v*d + p and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 4170*w + 46004. Determine y(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let l(o) = -o**3 - 14*o**2 - 25*o - 3. Calculate the smallest common multiple of t and l(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:53 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 91. Suppose c*k = 15*k - 15. Factor 0 + 0*o - 2\/9*o**5 - 10\/9*o**4 - 8\/9*o**2 - 16\/9*o**k.\nAnswer: -2*o**2*(o + 1)*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(1 - 2) + -2. Let t be (-91)\/14*2 - -48. Calculate the greatest common factor of x and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1057961476 and 9724.\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5\/2)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70, 93, 128, 181, 258, 365, 508, 693?\n\"Answer: n**3 + 16*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose q - l = 16. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*b**2 + 182*b**2 + 139*b**2 + 137*b**2 as y*b**2 + g*b + s and give y.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**7\/3780 - n**6\/270 - n**5\/45 + n**4\/6 + n**2. Let u(r) be the second derivative of t(r). Suppose u(l) = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {z: 3, l: 1, i: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2509)\/20072*(-1 - (20 - 1))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.06, -2, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + ((-3)\/18 - 50\/20). Sort 2\/5, -0.1, a, -3, -9 in increasing order.\nAnswer: -9, -3, -0.1, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Solve 3*s = j - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136655718, -136655720, -136655722, -136655724, -136655726, -136655728?\nAnswer: -136655730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 838, 952, 1112, 1318, 1570?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -12154, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*w**2 + 92*w**2 - 195*w**2)*(3*w**2 - 2*w + 2*w) + w**4 + w**4 + w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 554*y**6 - 8*y**4 - 6*y**2 - 10*y - 1406. Let x(c) = -c**2 - c + 1. Let k(s) = -i(s) + 10*x(s). Find the third derivative of k(a) wrt a.\nAnswer: -66480*a**3 + 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/20 - 355*y**4\/84 - 529*y**3\/7 + 468*y**2\/7 - 88*y - 32. Solve k(t) = 0.\nAnswer: -39, -12, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 8*c**2 - c**3 + 8*c**2 + 42*c**2)*(10 + 6*c - 10) to the form o*c**4 + i + l*c**2 + s*c + n*c**3 and give n.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6524965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/12 + 5*a**4\/2 + 30*a**3 - 32*a**2. Factor j(f).\nAnswer: 5*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o = -2*w + 6, 3*w = 5*o - 16. Solve 0 = 5*v + 13 + 12, o*q + 5*v = -29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 8. Let g be l(6). Suppose -408 = -5*o + 2*o. Suppose -143*t = -o*t. Solve -g*z + t*z - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 12*k**2. What is w(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 4*r - 15, 3158*k - 6314*k - 4*r - 1 = -3159*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260.295km in micrometers?\nAnswer: 1260295000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 24. Suppose -3*x - 2 - 1 = -3*o, 5*o = -x - 13. Let j(h) = 29*h - 1450. Let g be j(50). Put z, x, 4, g in decreasing order.\nAnswer: z, 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 49 = -0*x + 4*x. Let m(i) = 3*i - 3. Calculate m(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 + 1. Let v(u) = -4*u**3 + 8*u**2 + 5*u - 15. Let z(l) = v(l) + 11*x(l). Determine z(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a + 0*a)*(-1 - 5 + 2)*(37 - 10 + 1).\nAnswer: -224*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1840)\/(-25) + -74)\/(1 - 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -157116, -157106, -157084, -157044, -156980, -156886, -156756?\n\"Answer: m**3 + 3*m - 157120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -49 in decreasing order.\nAnswer: 4, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.8. Let k = 420.4 + -420.2. Which is the biggest value? (a) 3\/2 (b) k (c) -0.4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482628 is divided by 95?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 49*x + 141. Let n be p(-3). Let h(y) = 8*y - 24. Give h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -409, -408, -407, -406, -405?\n\"Answer: k - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85976821 and -5.\nAnswer: -429884105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5990, -28 in ascending order.\nAnswer: -28, 10, 5990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:42 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 1:00 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*i**3 + 15*i**3 + 41*i**3 + i**4 - 723 + 52 in the form z*i**2 + j + a*i**4 + p*i**3 + n*i and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 1130 - 165*q - 1130 - 262*q in the form d + l*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*t**5 - 6925222*t**4 - 3228*t**2 - 60359*t.\nAnswer: -900*t**2 - 166205328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0 + 1\/150*z**6 + z + 0*z**2 - 1\/210*z**7 + 1\/100*z**5 - 1\/60*z**4 + 0*z**3. Determine b so that u(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38943368 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/19))\/a*a**(-2)*(a**(1\/4)*a)\/a*(a*a**(-4))\/a)\/(a**(3\/5)*a**(-1\/3)*a**(-2\/3)\/((a**(-6)\/a*a)\/a)) assuming a is positive.\nAnswer: a**(-4733\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + 0*u**3 + 0*u**3 + 8 - 7974*u + 7973*u + 4*u**2 - 2*u**4 to the form l*u**3 + n*u**4 + z*u + r + j*u**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1095 + 5095. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50.004 + 0.004. Let k = -3452 + 3452. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 3*v + 5*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4 + 61*u**3 - 948*u**2 + 180*u + 10800 = 0.\nAnswer: -3, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(32\/96)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 3*k**2 - 11. What is b(6)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d = 4*c - 15, -d = -3*c + 25. Suppose y = c - 0. Let n = -3 + y. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3307*o**6 - o**3 + 27*o**2 + 26*o + 2.\nAnswer: 396840*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -12422261000.\nAnswer: -12422261000.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - (-46)\/8. Let l be (-4)\/n + 19\/(-3). Put 2\/13, 2, l in increasing order.\nAnswer: l, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + (-4)\/(-8). Let g = -2462\/5 - -492. Let i = 3 + -2. What is the third smallest value in g, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199403\/54 - 3693. What is the common denominator of -133\/30 and n?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 32. Let b be n(12). Let p be (-6220)\/(-25) + b + 2\/10. Calculate the greatest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i - 2. Let l(m) = 1520*m - 415. Let z(g) = 190*g - 52. Let v(s) = -3*l(s) + 25*z(s). Let r(d) = 110*o(d) - 4*v(d). Let j(n) = n. What is j(r(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1828, 3738, 5678, 7648, 9648, 11678?\nAnswer: 13738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*n**2*y**4 + 45*n**2*y**2 - 2*n*y**2 - 2*y**3 - y wrt y.\nAnswer: -3672*n**2*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1320073 (base 8) to base 11\nAnswer: -232011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Solve -c - 3 = -g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367779 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 576827.42+4002423\nAnswer: 4579250.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6023 - 11629 = -393*c - 2462 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 6, m: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 6735202661.\nAnswer: 6735202660.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 = 2*x, -12 = l + 4*x. Suppose b - 12 = l*y - 2*y, -b = 2*y + 8. Suppose -5*o + 68 + b = 0. Calculate the greatest common divisor of o and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 2*o**2 + 3*o - 2. Let v be z(2). Let c = v - 10. Suppose -154 = -c*x + 2356. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 793002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -97. Let y(s) = -s + 7. Determine y(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/21 + 20*(-213)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y - 31. Let w be c(-6). Suppose -5*f + 2*a - 1 = 2, 5*a = -3*f + w. Calculate the lowest common multiple of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.1179 micrometers in millimeters?\nAnswer: 0.7451179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1321 + 1326. Which is the third smallest value? (a) -6 (b) 0.2 (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (-29 - (4 + -16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*h + 3 + 32, h = 3*x - 25. Suppose 0 = 10*q - x*q + 24. Let b = 197 + -194. What is the biggest value in b, -0.4, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -822, -833, -846, -861, -878, -897?\n\"Answer: -v**2 - 8*v - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -m + 6, 243*k + 14 = -m + 246*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 6. What is the remainder when 34 is divided by p(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpnnpnpnzn. Give prob of picking 4 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -425.419?\nAnswer: -72.32123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 560104 divided by 424?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 288*o**2 + 12641*o - 985. Give z(234).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(324\/(-14720)) - 1. Let x = s - -409. Let g(z) = -z**3 - 6*z**2 + 7*z - 2. Let r be g(-7). Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 46 = -6. Suppose 0 = 2*l - 5*l - 9. Let d = 7 + l. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 48*d**2 + 162*d - 601. Determine b(-44).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 14*s + (-3 - 1 + 2)*(-2*s + 0*s + 3*s))*(6 - 3 + 7)*(2 - 2 - s).\nAnswer: 160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 1, h: 1, u: 4, w: 1, v: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-526 - (400 - 930)) + (1 + -1 - -13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 72. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11139.792482987 and 0.2?\nAnswer: 11139.992482987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 519386 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -85 - (-138 - -69) - (-57 - 0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182618 = -290*y + 184648 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -110, -105, -98, -89?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67a + 1b?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1\/11 (c) -0.5 (d) 7 (e) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1614 + 1617. Sort q, -2, -1, -181 in descending order.\nAnswer: q, -1, -2, -181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -56*y - 1348. Calculate c(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1468306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -5850\nAnswer: 4\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -7. Let o(k) = k**3 + 3*k**2 - 4*k + 4. Let u be o(-4). Suppose t + 4*f - 24 = -3*t, 5*f = -u*t + 25. Sort 0, t, i in decreasing order.\nAnswer: t, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31799247 is divided by 15899594?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*r**2 - 7*a**3 + 492*a**2*r**2 + 506*a*r**2 + 50263*a*r - r**2 - 2 wrt r?\nAnswer: 4*a**3 + 984*a**2 + 1012*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:48 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.393 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1707 or 49496\/29?\nAnswer: 49496\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2*g + g**2 + 2*g) + (-3 + 7 + 14)*(-2*g**2 - 2*g**2 + 6*g**2).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-147)\/(-98))\/((-18)\/(-62))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 2*z + 6 = -25*n, -2*z = -2*n. Suppose -n*y - 2*m + 566 = 3*m, 1434 = 5*y + 3*m. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q**2 - 115*q**2 + 0 + 181*q**2 + 0.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2966998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 5*g - 9. Let z be a(7). Suppose z*o = 6*o - 21. Let l = 98 - o. What is the remainder when l is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 - 80796*m**2\/7 - 34625*m + 323172\/7.\nAnswer: -(m - 1)*(m + 4)*(m + 80793)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 - 268. Let w be 8\/72*-3*-30. What is the second biggest value in -1, j, w, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -752*j = -748*j - 648. Let v(n) = -5*n - 7. Let d be v(-5). What is the greatest common factor of j and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + u - 9 = 0, -m - 5*u = -10 - 3. What is the lowest common multiple of m and 71?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/7 (b) -1.5 (c) 4 (d) -253\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 50*f**3 - 9*f**2 + 56*f + 210. What is q(-3)?\nAnswer: -1389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*s - 79*s + 36. Suppose -5*l + s*i = -28123, 0 = 4*l + 12*i - 13*i - 22494. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/360 + o**5\/180 + o**4\/72 - o**3\/18 + 45*o**2. Factor x(z).\nAnswer: -(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 2 = 0. Let v(r) = -p - 6*r - 2 + 4. Let s = 2 + -1. Calculate v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 and -93\/2128?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 - 10*o - 14. Let k be q(-8). Let c be (k + -6)*(-2)\/20. Let j = -0.136 - 3.864. Sort -2, j, c.\nAnswer: j, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 51. Let z(f) = f**2 - 1. Let y be z(1). What are the prime factors of m(y)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1abe + -1?\nAnswer: 1abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + w + 56941 = 0, 13*d + 142240 = 18*d + 10*w. Does 37 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5820*c - 5804*c - 5814*c + 29035*c - 5786*c - 5812*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76647810?\nAnswer: 2, 3, 5, 31, 73, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u**3 - 93*u**2 + 174*u - 72 = 0. What is u?\nAnswer: -12, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 2544.\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 43. Let u(x) = 25*x - 276. Let t be u(9). Does 13 divide t\/(-34)*h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.0584013909 - 1.0584. What is r rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/7 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-420)\/(-64))\/(-35))\/(91*3\/52).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -910 + 954. Calculate the remainder when 90 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -561752 or -561750?\nAnswer: -561752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 33728?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 67*k**5\/30 - k**4\/24 + k**3\/6 - 4*k**2. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) 3 (c) -2 (d) 101 (e) -0.5 (f) 1\/2 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79873\/9 at most as big as 8875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*q**3 + 11*q**2 - 5\/2*q - 6.\nAnswer: -(q - 4)*(q - 1)*(5*q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 3 - 3 + 6*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 396.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t**2 - t. Let d(o) = 4*o**3 + 11*o**2 + 3*o. Let v(z) = d(z) + 3*n(z). Let q be v(-9). Let x = 109 + q. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4464778 - 26636?\nAnswer: -4491414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -2*l**6 + 4*l**5 + 2*l**4 - 324. Factor z(m).\nAnswer: -4*m**3*(m - 2)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let m = -15 - -16.1. Let f = m + -1.5. Which is the closest to p? (a) -0.3 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 18 - -24) + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:57 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*s + 11 = 0, -2*s = 4*i - 4*s - 10. Let p(j) be the first derivative of 1\/6*j**3 - 1\/4*j**2 + i + 0*j. Factor p(l).\nAnswer: l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6439?\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*12\/336*-8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = h + 2*a, -5*h - 12*a + 8*a = 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*2\/(-18)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626 plus -228?\nAnswer: 6398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369 and 492?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1168 + -1167.99173. Round h to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 122*b - 1909. Calculate the remainder when p(-42) is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110011001111001 - 11011110011?\nAnswer: 111101111110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2033, 8126, 18287, 32522, 50837, 73238, 99731, 130322?\nAnswer: 165017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.68 - 2.68. Which is the closest to -0.4? (a) -5 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 51\/55456?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16527 + -11072. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = -16, 3*r - 2*b + 13 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 27*d**2 + 27*d - 26. Let y be w(-28). Solve 6 = -y*q - l + 13, -2*q + l - 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4669?\nAnswer: 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 352*y - 351*y - 84. Suppose 49*g = 46*g + y. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491083?\nAnswer: 491083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 3, o: 1, k: 3, j: 1, f: 2}. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2879471407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o - 232. Let k(r) = 12*r - 231. Calculate -3*k(y) + 2*n(y).\nAnswer: 2*y + 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 68.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0, 5 in increasing order.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -3\/2, 2\/9, -16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 424, -2, 4, -5, -10 in descending order.\nAnswer: 424, 4, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q + 54*q + 46*q + 22*q)*(-3 + 0 + 2)*(-3 + 2 - 1) in the form x + z*q and give z.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -39. Let f be 3 - 2\/(-4)*4. Suppose 0 = f*z - i, z + 0*i = 3*i + 14. Put z, u, 0 in ascending order.\nAnswer: z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)*j**(-1\/10))\/(j**(-2\/15)\/j**(8\/7)) assuming j is positive.\nAnswer: j**(-2273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28698 - 28695. Factor 0 + 4\/3*y**x + 0*y - 4\/3*y**4 + 0*y**2.\nAnswer: -4*y**3*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, -12, -35139.\nAnswer: -35139, -12, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7824, 62562, 211130, 500442, 977412, 1688954, 2681982?\nAnswer: 4003410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l**2 + 138*l - 15. Let j(r) = 7*r**2 - 70*r + 9. Let d(n) = 5*j(n) + 3*u(n). Factor d(s).\nAnswer: -4*s*(s - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -9*l - 10*l. Let v(x) be the third derivative of -2*x**2 + 0 + l*x**3 + 0*x + 7\/60*x**5 + 0*x**4. Let q(d) = d**2. Calculate q(v(f)).\nAnswer: 49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 2*s**2 + 10*s**2 + 1 - 6 - s**3. Suppose 42 = 4*x + 10. List the prime factors of r(x).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 39 - 65)*(2*q + 0 + 0).\nAnswer: -238*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 2704861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxxaxxxxxxxxaxxxa. What is prob of picking 3 a and 1 x?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - q**3 + 274*q - 4*q**3 - 274*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -670768.74 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*j - 9, 0 = -5*y + 2*j - 3*j - 11. Let l be 9\/(-21)*(-1 - 0). Which is the closest to l? (a) 0.3 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*u = 186*u - 59*u - 99264 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*-2*sqrt(2057) + sqrt(2057)*-2*6 + -2)**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let o = 7.66 - 2.66. What is the smallest value in -5\/7, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (7938\/(-105))\/42)*10\/32?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = r, 0 = -r - v - 1. Suppose -10 = 2*x - r. Let s be 0\/(-3) + x\/2. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 171256580?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 3*i. Let p be m(-4). Suppose p*a - 32 = 3*a. What is the greatest common factor of a and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-32)\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(770\/(-21)) - (-2)\/12?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26502151609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2116, -3, 4, 2, 0, 16 in ascending order.\nAnswer: -4, -3, 0, 2, 4, 16, 2116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + 56*m**2 + 14*m + 5. Let r(p) = p**3 - 19*p**2 - 5*p - 2. Let z(l) = -6*d(l) - 17*r(l). Let s be z(13). Put s, -4, 0 in decreasing order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c**3 + 91*c**2 - 100*c + 1. Give o(5).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6385 + 1.1922.\nAnswer: 6386.1922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 84 = 2*q - 7*q, 2*q + 5*o - 51 = 0. Suppose -q = -4*f + f. Suppose w - f*w = -50. Calculate the remainder when 37 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r + 1648 = a, 0 = -5*a - 2*r + 8291. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -11010?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.4, 23, -10\/3, -3, -47 in increasing order.\nAnswer: -47, -10\/3, -3, -0.4, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*o - 4*d, -3*o - 56*d + 21 = 63*d - 122*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -2\/5, -2, -5 in descending order.\nAnswer: 2\/19, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 39. Let o(m) = m**3 + m + 1. Let n(p) = 26*p**3 + 6*p - 12. Let c(k) = u*n(k) + 12*o(k). Find the first derivative of c(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - 0. Let d = k - -1.3. Let h = -2\/203 + 60\/203. Is d > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7317 + 7363. Calculate the remainder when 3953 is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 5*c. Let n(b) = -b**3 - 3*b**2 + 7*b + 15. Let p be (-3)\/(9\/(-8))*15\/(-10). Let u be n(p). Is u at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65839 divided by -44.\nAnswer: -65839\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 123 = -19*i. Let s = 2122\/8481 - 2\/257. Let x = s + 10\/231. Put x, -0.4, i, -1\/5 in ascending order.\nAnswer: i, -0.4, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -477*f - 344*f + 980*f - 610*f + 28413 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6451302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let l = -4.7 + g. Let s = 0.05 + -0.35. Put s, l, 2 in increasing order.\nAnswer: s, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119\/32 + 611\/96. Let z = 5\/2794 + 78893\/20955. Find the common denominator of p and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200088627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018*k + 1018*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 90\/7 of a week?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000119147 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.83835 to 2 decimal places.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + 7 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -62. Let p be (841\/(-2))\/(-29)*10. Calculate the greatest common divisor of j and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113120 (base 5) to base 10\nAnswer: 19785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 408*w + 66431. What is u(-163)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 7. Let k be g(7). Let x(h) be the second derivative of 1\/20*h**5 - 1\/60*h**6 + 0 + 0*h**3 - 2*h + k*h**2 - 1\/24*h**4. Factor x(m).\nAnswer: -m**2*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8319104 is divided by 125?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.5 + -63. Let h = 9 - r. Let o = h - -9. What is o rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - s)*(-1 - 4 + 3) - s + s + s + 19 - s - 14 - 14.\nAnswer: 2*s - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 2*n**2 - 3*n**2 + (-2*n + 0*n + n)*(n + 2*n - n) - 3*n**2 + 0*n**2 + n**2 + 74896*n - 74896*n + 6*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 + 133*q**4\/6 - 57*q**3\/2 - 15*q**2\/2 + 43*q\/3 = 0.\nAnswer: -2\/3, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -829*v - 3842 - 3619 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 50. Let t(w) = -3*w + 35. Let r be t(b). Suppose -2*f = -r*f. Solve f = 2*d - 4 - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-70)\/((-1260)\/(-123))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 266. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Calculate the remainder when 12 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 2*y + 1. Let t be q(1). Solve -t = -4*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - (-165)\/35. Let c(u) be the third derivative of -5*u**4\/24 - 5*u**3\/6 - 42*u**2 - 1. Let w(p) = -p**2 + p + 1. Calculate z*w(b) + c(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 123*r**2 + 48*r + 63. Is 126 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 416 - 421. Sort -2, -239, h in descending order.\nAnswer: -2, h, -239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12662 in 26, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -126\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 8*m - 13. Let q be u(-6). Let v be -1 - q - (5 - (-56)\/(-8)). Let p be v\/(-12) + 6\/9. Put -1, p, -0.5, -2\/5 in increasing order.\nAnswer: -1, -0.5, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 9*b**2 + 9*b. What is d(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4072 and 19920?\nAnswer: 10139280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 56 + j + 0*j - 55 - j**3. Let i be x(2). Solve -c = -2*c + 5*q + 1, q - 11 = i*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -43 - i - 13*i + 4*i**2 - 10*i + 79 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 37.58 (c) 1 (d) -3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252784703*v**3 - 293608889*v**2.\nAnswer: 1516708218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19056529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(-30)\/(-5). Suppose 3 = -2*p + 103. Suppose 2*c = 5*y - p, l*y + 2*y + 2*c = 22. Calculate the remainder when 29 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224\/31 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + 0) - (36 - 6 - 25)) + 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/252 and 119\/288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.922 + 0.078. Let p = 32 - g. Is -2\/29 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 16. Let w(s) = 12*s**2 - 49. Let v(n) = 7*l(n) - 2*w(n). Let q(p) = p**2 - 3. Give 14*q(u) - 3*v(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1380 - -1520. Calculate the smallest common multiple of 30 and q.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*b + 4*b + 0*b)*(2*b - 5*b - 2*b) + 5*b**2 - b**2 - b**2)*(-2 + 7*b + 2*b - 8*b).\nAnswer: 8*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/18)\/(45\/(-30))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5490203 < 5490208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1798\/4165 + -20\/49. Let z = 102.1625 - 102.4625. Which is the third biggest value? (a) q (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 2024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5558 is divided by 5488.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + k)*(3 - 1 - 4) - 390*k + 249745 - 249745 - 6 + 6 - 6*k to the form g*k + a and give g.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 102. Let w = 34.3 + r. Suppose -17*h = 18*h - 16*h - 95. Which is the second smallest value? (a) h (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -915\/11. What is the second smallest value in 1, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4960759*q**4 - q**3 + 9760*q - 95 wrt q?\nAnswer: 59529108*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30039775*u**3 + 11*u**2 - 388140*u?\nAnswer: -180238650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 75*w + 450. Let v be n(-6). What is the third smallest value in v, 0.1, -2\/25, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14307\/5 - 2861. Solve 4\/5*m**3 + 2\/5*m**5 - d - 4\/5*m**2 + 6\/5*m**4 - 6\/5*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 41*r**2 - 4*r - 79. Let g(j) = -j**3 - 40*j**2 - 5*j - 79. Let p(a) = 5*g(a) - 4*m(a). What is the units digit of p(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let z be 1*(4 + -7 + 8). Let t(c) be the first derivative of z + 2 + c**2 + 2. Determine w(t(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*y - 855 = -208*y - 2403 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 62 (b) -2\/51 (c) -4 (d) 5 (e) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 23*i**3 + 3*i**2 - 2*i. Let z be a(1). Suppose 20*g = z*g - 132. Suppose -g*j = -31*j - 214. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -181*n + 723. Calculate y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * -5.49.\nAnswer: -362.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/760*30)\/((-4)\/(-64)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47215068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16 - (-21)\/((-231)\/44). Let a(h) be the second derivative of -h**2 + 0 + 1\/3*h**3 - n*h. Calculate a(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/21, 3, -2, 4\/349?\nAnswer: 4\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r - 18 = 137*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 54. Let y be z(9). Let m be 26\/y - 23*(-28)\/18. Solve -6*h = -15*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k**3 - 10*k**2 + 4*k + 26. Is 13 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 5*n + 5 - 2, -12 = -2*z - 2*n for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 200043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**5 + 482271*x**4 + 1249505*x**2.\nAnswer: -420*x**2 + 11574504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 156*q**3 + 80*q**2 - 16*q + 7. Let r = -99 + 93. Let y(i) = 156*i**3 + 80*i**2 - 16*i + 6. Let t(x) = r*p(x) + 7*y(x). Factor t(f).\nAnswer: 4*f*(3*f + 2)*(13*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344315 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/5 + 38092*k**3 + 1813750580*k**2 = 0?\nAnswer: -95230, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -13113?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -27.4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7 - 66*j - 4*j**2 + 98*j**3 - 99*j**3 + 64*j. What is n(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.27325 or 38\/17?\nAnswer: 38\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6113*i - 6146*i - 12 = 6*j, -3*i = 2*j + 20 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 20. Solve -2*i + 7*i - 5*b + 25 = 0, 2*b + r = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 107. What is t(0)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiivqqq. What is prob of sequence iqv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53489077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 22 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100\/99 - -229\/198. Which is the third smallest value? (a) 19 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + -6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 451865562721\/2252 - 200650798. Let m = 8\/563 + j. Find the common denominator of m and -4\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 - 2.3. Which is the smallest value? (a) s (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970, 1940, 1910, 1880, 1850, 1820?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 3*f**2 - 3*f. Let a(n) be the first derivative of 11*n**4\/4 + 17*n**3\/3 - 17*n**2\/2 - 9. Determine -6*a(z) + 34*c(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516 + 490.9. Let j = m - -24. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -39. Let o = -254 + 294. What is the remainder when o is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 24. Suppose -3*t = t - 3*v - 5125, f = 2*t + 2*v - 2580. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 14 - 2 = 0, 2*f + 3*h = -32. Let t be (-2)\/(-2) - (-10 - 4). Let n = f + t. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)\/(4\/(-20)). Let n = y - -18. Solve b - 1 - n = 4*w, -2*w - 2 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1926 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 1, m: 1, x: 1, c: 2, g: 1}. Give prob of sequence gucm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594006 is divided by 2561?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1008) + -1)*4*-6)**2 - ((sqrt(1008) + (sqrt(1008) - (-1 + sqrt(1008))) - sqrt(1008))*6 - (3 + (sqrt(1008)*3)**2)).\nAnswer: -13824*sqrt(7) + 590253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247286153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2 - 4*z - 13. Let d be u(4). Suppose -3*h = c - 10, -d*c - 4*h + 20 = -25. Calculate the remainder when 25 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 627646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -255296 + 9624*o**2 + 255296 in the form z*o**2 + t*o + q and give z.\nAnswer: 9624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = 6*v. Let h = 34 + v. Suppose 0 = 8*k - 107 - 69. Calculate the smallest common multiple of k and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -749\/19?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, 81, 293, 599, 1005, 1517?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 476.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99821\/2662 + -2\/1331. Let y = 64 + -38. Calculate the common denominator of l and (-1 + 0)\/(7\/y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 3. Suppose -2*l + k = -l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 86.2. Let t = 13 + -9. Let f be 9\/25*15\/9. Which is the closest to l? (a) t (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1625*1.\nAnswer: -0.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8463, -8115, -7179, -5361, -2367?\n\"Answer: 49*h**3 + 5*h - 8517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -4.9. Let g = -5.5 + q. Let z = 95.1 + -95. Which is the nearest to -1? (a) g (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.4 - -12.05. Let h = z + -1.95. Let k = 1.9 - -0.1. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/2))\/(k*k**(7\/2))*(k*k**(1\/2)\/k)\/(k**(2\/5)*k))**(2\/33) assuming k is positive.\nAnswer: k**(-29\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23408 and -5.\nAnswer: -117040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -249a02 - -d?\nAnswer: -2499d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 - k + 11. Let a be f(0). Let h = a - 3. Suppose -c - c = -h. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2 = -4*n + h, -2*h = n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 3397*i**2 + 91 - 35 - 28 to the form j + c*i**2 + a*i and give c.\nAnswer: -3397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1308\/218)\/(828\/(-24)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4480 + -4482. Suppose -11 = -5*c - 1. Let f(q) = -q - 2. Let x be f(c). Put -19, m, x in descending order.\nAnswer: m, x, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3832*i + 8575*i - 3840*i.\nAnswer: 903*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562 + -237. What is the third derivative of o**2 - 51*o**6 + s*o - 25*o**6 - 320*o wrt o?\nAnswer: -9120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 1)*(0*l - 2*l - 17*l)*(0 + 4 - 5) to the form y + b*l and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Suppose -2*w - 12*w - 14 = 0. Let m be ((-1)\/3 + w)*(-81)\/(-18). Let a(p) = -5*p**2 - 1. Calculate m*s(u) + a(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3 and -143\/2490.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3\/26 (b) -119 (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -114*o - 1. Is h(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 28*t - 75. What is d(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -38*m + 6. Suppose 0 = -0*z + z + 6*z. Suppose -4*y - 4 = z, 0 = 5*d + 3*y + y + 14. List the prime factors of t(d).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509818971 to the power of 1\/2, to the nearest integer?\nAnswer: 22579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2) + 4 + -29 + 26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*-2)*4 - sqrt(65) - sqrt(65)))))\/(1*(sqrt(15)\/sqrt(3) + sqrt(5))*6).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 2*n**2 - 4*n**2)*(2 - n**2 - 2) - 2*n**4 + 5*n**3 - 5*n**3 + (0 - 1 + 2)*(-2*n**3 + 2*n**3 + n**4) - 3*n**4 - n**4 + n**4.\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + -16. Let z(i) = -6*i + 109. Calculate the remainder when z(d) is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.69999867 - 22.7. What is z rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/4 + 2280729*s**2\/4 + 1300430052495*s\/4 - 1300432333225\/4 = 0. What is s?\nAnswer: -1140365, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 193 (c) -2\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 1 (c) -4 (d) 3\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -603*o**2 + 91016*o + 5590. What is l(151)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-288) - (10\/12 + -1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182354.\nAnswer: 2, 3, 197059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 9. Let q be m(10). Let t = q - -14. Suppose t*h = 6*h - 15. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.5 - 110. Let l = -0.34 - -0.04. Which is the closest to 2? (a) l (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -3, 0 = -4*g - 5*m + 31. Suppose -11 = -g*k + 13. What is the second biggest value in -0.4, k, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*y**4 - 10*y + 2 wrt y?\nAnswer: 3396*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from juiiuuijjkj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8776954 centuries to months.\nAnswer: 1053.23448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -35*i - 616 - 161 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152453220 to the power of 1\/2, to the nearest integer?\nAnswer: 12347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -5 - (1 + 6 + (-9 - (-7 - -10)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*m**3 + 3 - 42*m + 52*m - 4 + 3 in the form o*m**3 + w*m + j + u*m**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:48 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/5 (b) -1.2 (c) 0.0936 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v - 6 + v**2 + 21 - 7. Determine t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*t = r - 2, 3*r + 3*t - 18 = 0. Let s be (r\/(-21)*-3)\/((-23)\/46). Which is the smallest value? (a) 3 (b) 0.5 (c) -4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-3492)*(-1 - 123386). Suppose 3*x + 1440 + 1104 = 0. Let z = x + m. Are 0 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 30*x - 13. Let h be u(14). Which is bigger: 154 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 (base 10) in base 9?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 g when four letters picked without replacement from {g: 9, f: 5}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50254493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7808678 nanoseconds?\nAnswer: 0.0007808678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/952 in -0.05, -0.5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9361 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -988082 by -15.\nAnswer: 988082\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -220*j + 201*j + 121600. Is 50 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**4*g + 26*c**4 + c**3 + 750*g + 1 wrt c?\nAnswer: -4*c**3*g + 104*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*d - 2*w, 4*w + 4 = -0*w. Suppose 2*u - 125 = -3*b, -4*u = -d*u + 4*b + 255. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64377 equal to -64384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9901*l - 9894*l + 19793*l = -84 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 15328.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d = 51*d + 37*d. Solve o + 3*c - 4 = d, -46*c - 5 = -o - 50*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 33 + 98 = 0. Suppose -2*h = -7*h - i + 38, -h - 2*i + s = 0. Suppose g - h = -6*g. Solve -g = -p, 0 = -0*t - 2*t + 3*p + 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 1. Let c be (-4)\/v - (-61)\/(-7). Suppose 23*m - 20*m + 24 = 0. Do m and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*v - 13 = 12, 4*v = -5*n + 20. Let w = -0.256 - -0.056. What is the second biggest value in 0.3, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1205 - -18077\/15. Let k(u) be the first derivative of -1\/3*u**4 - 2\/9*u**3 + 8 + 0*u + 2\/3*u**2 + n*u**5. Suppose k(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 60 = -14*u. Let d(v) be the first derivative of 0*v**4 + 4 + 2*v**2 + 0*v**u - 5\/6*v**6 + 0*v + 0*v**5. Find the second derivative of d(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + 1\/120*c**6 + 0 + 3*c**2 + 0*c**5 + 0*c**3 - 1\/24*c**4. Let w(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6978087 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + y - 2. Let r be 1\/5 - (-22)\/(-10). Let b be j(r). Let a(v) = v**2 + 6*v + 3. Let h be a(-6). Solve 5*d + 2 + h = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1 - (-37 - 0). Suppose 19*w - 18*w = s. Suppose -10 = -f + w. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302745 is divided by 417.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 233\/2. Let i(y) = -y. Let u be i(1). Let o = u - x. Is 2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 12.05.\nAnswer: -0.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f - 95*f + 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 682990 divided by 2\nAnswer: 341495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5365*g**2*m**2*r - 22*g*m**2*r + 104*g*m**2 - g - 2*m**2*r wrt g.\nAnswer: -10730*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 2 = 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 - 544195*p**2 - 613 - p**3 + 544241*p**2 wrt p.\nAnswer: -9*p**2 + 92*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 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: Let v(r) be the second derivative of 0 + r**2 + 1\/12*r**4 - 23*r - 2\/3*r**3. Let c be v(4). Solve t + c*h = 0, 3*t = t - 3*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.05 - 0.05. Let p = 4.01 - a. Let d = p - 0.01000103. Round d to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2213 >= -2213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - 4) + 9 + -1*25*-789 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(78) - 2*sqrt(78)))\/(sqrt(36)\/(1*sqrt(6))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -642700 - 418?\nAnswer: -643218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**7\/168 + 2*f**6\/3 + 839*f**5\/40 + 65*f**4 + 507*f**3\/8 + 10*f + 4. What is l in y(l) = 0?\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s**(-2\/3)))\/s))**(-2\/53) assuming s is positive.\nAnswer: s**(-8\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(2\/(-4) + 453\/755). Solve -73 = -c*s - 163 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1)\/(68 + -66)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 759 + -759.2. What is the third smallest value in 2\/5, n, -2\/3, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233.1 + 233.3. Sort -3, a, 96, 5 in descending order.\nAnswer: 96, 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (784 - 607 - 394)*(-1 + 1 - 2)*(-p + 0*p + 2*p).\nAnswer: 434*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 - 73*l + 2. Let a(r) = 7*r**2 + 73*r - 2. Calculate 6*a(z) + 5*v(z).\nAnswer: 2*z**2 + 73*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.9. Let l be (3\/(-2) - -1)*-1. Which is the second biggest value? (a) t (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:16 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 1\/3 (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 365\/25 + 4\/10. Suppose 5*v - 3*z + 118 = -t, 5*v + 134 = 4*z. Is (-423)\/(-2) - (-13)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1235.8 - 1235.6. Which is smaller: 4721 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2284 = -7*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**2 + 24*r + 96. Determine v(10).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -51*n - 5506. Determine a(-108).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztr when three letters picked without replacement from {t: 1, d: 1, r: 1, z: 2, v: 4}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7\/42 - i**5\/5 - i**4\/6 + i**3\/2 + i**2 - 19*i + 11. Let r(d) be the first derivative of l(d). Solve r(y) = 0 for y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -38*o**2 - 5*o - 28. Let f(w) = -13*w**2 - 2*w - 9. Let k(g) = -3*a(g) + 8*f(g). Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1*(-511)\/21. Let d = t - 29. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6602541kg?\nAnswer: 660254100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071677 to the power of 1\/2, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.1. Let g = -31\/114 - -2\/19. Let y = 2.5 - 0.5. Which is the smallest value? (a) g (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 1. Let g(a) = 12*a**2 - a + 5. What is -2*g(b) + 9*x(b)?\nAnswer: 3*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - 6*k - 4. Determine a(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 h when four letters picked without replacement from rrrehrhrererree?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1227205256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y**2 - 115*y + 476. Determine p(13).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (748\/6)\/(4\/6). Suppose 4*g - 225 = 2*j + 27, 3*g - j = l. Let x(s) = -s**3 - 6*s - 4*s**2 - 2*s**2 - 60 + g. What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 85 = -2*h, -2*u + 6*u - 40 = 4*h. Let g be 2 - (u\/6)\/1. Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5684, 4613, 2828, 329, -2884, -6811?\nAnswer: -11452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 0.29. Let p = 0.46 - -0.04. Let w = p - -2.5. What is the closest to h in w, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.13 + -6.13000194. Round i to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.37, 0.2, 0.5, 3, -36.\nAnswer: -36, 0.2, 0.37, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59.4837 and -0.3.\nAnswer: -59.7837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 177 - 57. Let p = 80 - v. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 533712592*w - 15039266 wrt w.\nAnswer: 533712592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -1.9. Let g = p + 2. Let y = -2\/41 - -47\/123. Which is the second smallest value? (a) -4 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-72))\/(-3*(-10)\/(-135)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9547570 divided by -2.\nAnswer: -4773785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 12*m**3 - 2*m**2 + 30 - 31 to p*m + j*m**3 + s*m**2 + a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 0*n**3 + n**3 + (-2*n + 3*n - 6*n)*(2*n**2 - 2*n**2 + 2*n**2).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+0.3786\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.3 (c) 0.1155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45 - 4*t**4 - 696 + 205 - 623*t**4 - 285 wrt t.\nAnswer: -2508*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than or equal to 34843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -635 + 188. Let t = 1846 + c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(-1)*1\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.3 (c) 4226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8347, 8739, 9129, 9517?\nAnswer: 9903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 1 + 2\/1. Let v(g) = 1 - 2 + 3 + 1 - g**3 - g**2 + 4*g. Give v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12131132111 (base 4) to base 12.\nAnswer: -698105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2*i = 11*d, 2*d = 2*i. Suppose 15 = l - 4*q, -18 = -5*l + q - d*q. What is the lowest common multiple of (-2)\/7 - (-102)\/14 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15 + -8 + (-1138)\/(-140).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12163\/7 or 1738?\nAnswer: 12163\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 42 + -36 + -47 + 1 + -20 + 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630352, -630348, -630344, -630340, -630336, -630332?\nAnswer: -630328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 13 - 72 = 16*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 6670 and 6848 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 2*k**2 - 2*k + 42. Let h be z(0). Suppose -4*x = -x. Suppose x = h*d - 38*d - 840. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 16*i = 250. Let x = i - 47. Suppose -22 = -2*v - 5*k, 2*v + 12 = x*v + 2*k. Calculate the greatest common divisor of v and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/3 + 8*h**3\/3 + 42*h**2 + 292*h\/3 + 176\/3 = 0.\nAnswer: -4, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11630488 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98568 and 244?\nAnswer: 24050592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1081\/92 + (2 - (-7)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-2\/5) assuming y is positive.\nAnswer: y**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)**(3\/16)*(g**(-8))**(2\/57) assuming g is positive.\nAnswer: g**(-427\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 90.29. Let n = p - 1.11. Which is the closest to 9? (a) 3\/5 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r)*(4*r**3 + 5*r**3 - 5*r**3) + (-6*r - r - 5*r)*(0*r + 0*r - 3*r**3) + 4*r**4 - 5*r**4 - r**4.\nAnswer: 26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/19)*c**(-3\/2)*c\/c**(-3\/10)*c*c*c*c*c**(3\/7) assuming c is positive.\nAnswer: c**(2952\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15206*q - 4*q**2 + 45662*q - 15237*q - 15219*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 45. Let r = 84.8 - 55.8. Let f = x - r. What is the closest to 2 in f, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*l + 12 = 0, 0 = -l + 1 + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4829487 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -57*s + 288. Let c be r(5). Solve k + 0*k + 2*t - 5 = 0, -3*k + c*t - 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19617 divided by 598?\nAnswer: -1509\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-4))\/((-6)\/24). Suppose -3*o + 3*u + 33 = 2*o, 53 = y*o + 2*u. Let l = o - -10. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 - 3*g**2 - g**2 + (1 + 1 - 6)*(5*g**2 + g**2 - g**2))*(10*g - 9*g - 25*g + g**2) to the form x*g + f*g**4 + z*g**3 + b*g**2 + q and give z.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20750537\/5901798 + 5886\/1693. What is the common denominator of p and 61\/22?\nAnswer: 38346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 112, -113 in descending order.\nAnswer: 112, 2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 + x - 3. Let a be t(5). Suppose 0*u - o - 13 = -2*u, 0 = a*o + 2. What is the units digit of (u\/(-4))\/(9\/(-900))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + 3315?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -14 + 0 + 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -51. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5906028 divided by 1852\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-4)\/18)*(-162 - -173). Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -s + 3*s + 4*c, -s - 8 = -3*c. Let b = -6 - -11. Suppose b*i - o = 49, -s = -2*i + 4*o + 9. What is the remainder when 17 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -188, -1, 0.3, 0.5, 9\/11, 0 in decreasing order.\nAnswer: 9\/11, 0.5, 0.3, 0, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*c = 161, 0 = p + 4*c - 157 - 2. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 + 6*t - 4. Let m(s) = -21*s**2 + 13*s - 9. Let x(i) = 4*m(i) - 9*p(i). Find the second derivative of x(b) wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4024803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268156.\nAnswer: 2, 7, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14543 (b) -359 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53935 is divided by 26966.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6) + 248\/62.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-111)\/9)*-3. Suppose 0 = -n + 2*l + 2*l - 287, -5*l - 1211 = 4*n. Let h be n\/(-3) - (-3)\/9. What is the greatest common factor of h and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 - 7*r**4\/24 - r**3\/6 - r**2. Let c be f(-7). Let d be 2*2 - (2 + c). Solve -4*m = 5 + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-40)\/25)*-10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 1, j: 2, b: 11}. Give prob of picking 1 v, 2 j, and 1 b.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m**3 + 62*m**3 - m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 87 (b) 0.2 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/25)*p\/(p*p\/(((p\/(p*(p\/(p*p**5))\/p))\/p)\/p)*p*p))**(-1)\/(p*p**0*p**(-3)*(p\/(p**6\/p)*p*p)\/(p*(p**(-2\/15)\/p)\/p)) assuming p is positive.\nAnswer: p**(146\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j + 6. Let i be q(-7). Suppose -i + 1 = -p. Solve 4*a - 8*a + p*v - 5 = 0, -4*v + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 42 = 4*v - 10, 4*l = -2*v + 98. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 h, and 1 m when four letters picked without replacement from ldmmmllmlmlhmdddl.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 + 3*g - 1. Let t be w(2). Let z be ((-4)\/(-10))\/((-3)\/t). Suppose d + 0 = z. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3, -3, 0, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3 - -1)*1. Let h be 2360000 - (-3)\/(-3) - b. Suppose v + 3*v = -h. Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r, -2*w + 531 - 55 = 2*r. Which is smaller: 232 or w?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/77, -11, -0.04247?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 2. Suppose a - w = 5*p + 30, -5*a = 4*p - 112. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 3. Let m(n) = n + 1. Let t(w) = -6*m(w) - 2*y(w). What is the remainder when t(-11) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128, -510, -1158, -2090, -3324, -4878, -6770, -9018?\n\"Answer: -3*l**3 - 115*l**2 - 16*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28\/169 (b) -2\/617 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(275)*-1 + sqrt(275))*6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1328 and -1277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 2*c**2 + 2*c + 13. Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgn when three letters picked without replacement from gngbgglppn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(20*q**2 - 25 + 25)*(-4*q + 12 - 3*q + 17*q) to d*q**3 + v*q + l + n*q**2 and give n.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(1 - 2*i + 4*i + 0) + i + 2*i - 4*i.\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-48 + (17 - -11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h + 4*m = 23, -3*m + 1 = h. Let n(z) = -1 + z**2 - 2*z + h + 2*z**2. What is the units digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 34*z + 9. Let r(x) = -97*x - 26. Let i(p) = 4*r(p) + 11*v(p). Let j be i(-1). Suppose -4*w + 16 = -0*w. Solve -j*n + 5 = -w*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 = -5*v, -5*v - 4*w = -3*v - 2. Suppose -3*l + 4*g - 12 = -5*l, 4*g = 5*l - 16. Put l, 0, v in descending order.\nAnswer: l, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17400 = 36*p - 6432. Let c = p + -659. Solve h + 4*k = -c*h + 4, -2*h + 4*k + 14 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 23*p. Let k(q) = -q + 3. Let z(h) = -69. Let o(j) = 17. Let s(d) = -9*o(d) - 2*z(d). Let g(m) = 5*k(m) + s(m). Give g(b(c)).\nAnswer: -115*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35082, -69275, -103466, -137655, -171842, -206027?\nAnswer: -240210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/24 + 7*j**3\/6 - 99*j**2. Let v(o) = -3*o**3 - 3*o**2 + 3*o + 1. Let m be v(1). Calculate r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 106, 121, 150, 199, 274, 381, 526?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, d: 2, m: 4}. What is prob of sequence lmd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1770, -1762, -1752, -1740, -1726, -1710, -1692?\n\"Answer: r**2 + 5*r - 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c**2 - 2*c. Let t(u) = -u. Give t(p(w)).\nAnswer: 19*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-2)\/12*2). Suppose 4*d + 4*i - 16 = 0, 2*d - m*i = 7*d - 24. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101306\/7 - 8214\/7*o + 222\/7*o**2 - 2\/7*o**3.\nAnswer: -2*(o - 37)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7028149391.\nAnswer: 29, 242349979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2351*k**3 + 810*k**2 - 158573*k - 7 wrt k.\nAnswer: 14106*k + 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/4 of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.1. Let c = p - 0.5. Put c, 3\/2, -0.3 in descending order.\nAnswer: 3\/2, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3528200, 0, 5 in ascending order.\nAnswer: -3528200, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 24, 5*i + 2*n = -11423 + 11445 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/6)\/((-2)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 237. Let r(m) = 2*m + 6. Calculate 3*r(n) + s(n).\nAnswer: -2*n - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 0*b**2 + 2*b**2 + (2*b**2 - 2*b**2 - b**2)*(5 + 10 - 33) + 3*b**2 + b**2 - 2*b**2.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Two letters picked without replacement from {x: 4, j: 7, s: 5}. What is prob of sequence xs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 32*u**2 - 33*u + 61. What is the tens digit of v(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w**3 - 4*w**3)*(w**2 - 25*w**2 + 203*w**2) + 2*w**5 - 2*w**3 - 7 + 7.\nAnswer: -356*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4 + 4)*(-1 + 3 + 0)*(2*o - 10*o + 2*o)*(21 + 2 - 4).\nAnswer: 456*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29560, 57795, 86028, 114259?\n\"Answer: -t**2 + 28238*t + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/6 + 3)*1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18550 is divided by 273?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7387839, -14775638, -22163437?\nAnswer: -29551236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 942568.7 microseconds?\nAnswer: 0.9425687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1242\/(-1380))\/(2\/(140\/(-3)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 41\/(-3) + 1\/(-3). Let k be 24 + (-5)\/((-5)\/(-2)). Let a = k + c. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhhhhrhhrrgrrqhhg. What is prob of picking 1 g and 1 h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/105045?\nAnswer: 4\/105045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(1216) + -1 + -1)**2.\nAnswer: -192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/(-20)*(-24)\/15 + -101. Sort -2, -5, w in ascending order.\nAnswer: w, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 11. Let a(f) = 35*f + 210. Let p be a(-7). Let v be p\/t - (-4)\/6. Calculate the greatest common divisor of v and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131104.494 to the nearest one hundred.\nAnswer: -131100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141114 + 4?\nAnswer: 141123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -23 - 6*t + 3*t**3 - 2*t**3 - 4*t**2 + 9 - 3*t**2. Let v be k(8). What is the greatest common divisor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -0.5. Let p = -0.8 + 1. Which is the second biggest value? (a) p (b) u (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 + 0.879999871. What is q rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 5, i: 4, g: 2}. Give prob of sequence gb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 102514 = -2*s, -4*s - 34770 = -3*c + 42098. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 22127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 91, 93?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, -3, 0, 1 in decreasing order.\nAnswer: 1, 0, -3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 - 3*v + 80. Calculate l(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 67, -0.7, -17\/35?\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 3*p + 0*p. Let i be h(-3). Let g be 14\/(-10) + i\/3. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86503 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5886*k - 6042*k + 312 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97954 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*o**4 + 218 wrt o.\nAnswer: -508*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + z + 8 + 5, 3*p - 17 = 2*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*n + 18 = 3*n, -8 = -2*n. Let g(p) = -p**3 - 5*p**2 + 2*p + 7. What is the units digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -5*g**3\/3 + 7*g. Let t(d) = d**2 - 11*d. Let a(z) = -4*i(z) + 3*t(z). What is the second derivative of a(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*f. Let l be (f - -3)*(-6)\/(-9). Does 2 divide 3\/(-2)*(0 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753248?\nAnswer: 2, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, -487917\/4, 3, -0.3 in increasing order.\nAnswer: -487917\/4, -0.3, 2.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z + 4*z)*(6 - 10 - 8)*(z - 2*z**2 - z) + 2*z**2 - z**3 - 2*z**2.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 437627819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0588 - 0.1588. Let w(x) = 17*x - 2. Let m be w(3). Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1108)\/(-7) + (-6)\/21. Suppose -5*p + 3*j + 582 - s = 0, 4*p - 336 = 4*j. What is the remainder when p is divided by 8 + 8*(-63)\/(-36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v. Let l be (-7 + 1)\/(4*195\/104 - 9). Solve -5*u - 11 - l = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -3) + (-1 - -1). Suppose -7*a - 2*i = -3*a - 46, 16 = a - h*i. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqktkkqkq. What is prob of picking 1 q and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -154080, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/13 - 141636*n**3\/13 - 25868970*n**2\/13 - 1169698672*n\/13 + 1195709280\/13 = 0. Calculate n.\nAnswer: -70635, -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 1\/9, -118, -4, 2\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 272 = y, -3*u - 263 = 2*u + 4*y. Let z = -59 - u. Does -8\/3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -14\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 1 + 1)*(-22 - 3 - 3).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.072 + -0.328. Suppose 4*h + 5*y + 15 = 0, -5*y - 5 = -4*h + 10. Which is the smallest value? (a) x (b) h (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74301 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*o = -3617 - 2103 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 263a197 (base 13) in base 8?\nAnswer: 55570512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w. Let t(m) = 2*m. Let k be ((-5)\/3)\/(20\/(-60)) - 33. What is k*t(c) + 6*d(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*y - 0*y. What is the least common multiple of 3 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/24*0*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 290 - 72 - 4*c - 86 - 74.\nAnswer: -4*c - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2415 and 83\/1035.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - 2*g**2. Let u be w(3). Let n = u - 1871\/13. Let o = 18.1 - 18.2. What is the nearest to o in 4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(6)*3)\/(sqrt(98)*4) - (-1 + -2*(-2 + sqrt(304))**2 + 2).\nAnswer: -893*sqrt(19)\/28 + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9962073.63 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 252.502*-6\nAnswer: -1515.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*d - 3*d - 4*m, 5*d - 11 = 2*m. List the prime factors of (d + (240 - -2)*-1)*-1.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-28))\/((-36)\/(-42)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.2 and 11.\nAnswer: -343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9 - 6 + q + 3*q - q**2. Let z be l(5). Which is the closest to 2? (a) 1\/11 (b) 4\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 35*l**3 - 3*l**2 - 7*l. Let s(z) be the third derivative of 17*z**6\/120 - z**5\/30 - z**4\/6 + 11*z**2 - 182*z. What is -4*n(u) + 7*s(u)?\nAnswer: -21*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5 - (-2 - -12)) + 2 + -56?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -544. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -88. Suppose 34 = -25*i - 241. Let w = i - z. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3 - 0)\/(-6))\/(3\/9). Which is the third biggest value? (a) -2\/7 (b) -1 (c) i (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10298)\/(-1140) + (-17)\/3060*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 - 69110*o**2 - 207375*o = 0.\nAnswer: -3, 0, 13825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3233, -10 in descending order.\nAnswer: -9, -10, -3233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/60 - w**5\/12 - w**4\/8 + 5*w**2. Is 20 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25054*r**3 - 24918*r**3 + 50262*r**3.\nAnswer: 290*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, w: 1, i: 3, c: 5}. What is prob of picking 1 w, 2 i, and 1 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/12*r**4 + 0 + 0*r - 1\/3*r**3 + 2*r**2. What is the first derivative of g(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111616235 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(1782) - (sqrt(1782) + sqrt(1782)*1 - sqrt(1782)))\/(sqrt(11) + sqrt(11) + sqrt(275) + sqrt(275)*2 + sqrt(275)))*-2 + 3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -26, -3, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (394 + -383)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19\/5)\/(s\/(s*s*s*(s*s**(-2)*s)\/s)*s))\/((s\/s**15)\/((s**(2\/29)*s*s)\/s)) assuming s is positive.\nAnswer: s**(1634\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330015896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b - 57 = -35*b + h, -3*b = 3*h + 3*h - 0*h + 48 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x - 17. Let r be 0 + (-6 + 31\/3)*3. Let u(w) = 9*w + 8. Calculate r*u(t) + 6*s(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -29431.\nAnswer: -29431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21)**(-6) assuming b is positive.\nAnswer: b**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 8*z - 72. Let r(t) = t**3 + 11*t**2 + 9*t + 3. Let i be r(z). Let y = 376 + i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-460)\/(-161253)*41)\/(6\/27)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -227, -983, -2237, -3983, -6215, -8927, -12113, -15767?\n\"Answer: q**3 - 255*q**2 + 2*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = 4*h, 4*u + h - 70 = -u. Let q(y) = 2*y - 5*y + 4 + 2*y. What is the smallest common multiple of q(0) and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 4*h**2 - 3. Let w be x(-4). Let c be -3 - (w + 0) - 0. Solve -7*i + 2*i + 25 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*m - 2927 = 0, w = 6*w + 4*m - 2903. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:33 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*a - 660*a + 330*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12067 - 36179 + 12055 + 10*v**2 + 12057 + 35*v**2.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 30 = -5*f. Suppose -9*p + 1 = -17. Calculate the greatest common factor of f and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -7*n**2\/2 - 33*n + 986. Give d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/45, 27.1, -0.5, 3, 4 in decreasing order.\nAnswer: 27.1, 4, 3, 2\/9, 1\/45, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 125, -3, 3, 5, 1691?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1)*3 - (3*sqrt(700) + -2))**2 + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 381, 2068, 4879, 8814, 13873?\n\"Answer: 562*f**2 + f - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 13143*p + 39456.\nAnswer: -3*(p - 3)*(p + 4384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21156014 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7397\/(-2730) - 6\/(-15) and 29\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9\/8)\/y*y**11 assuming y is positive.\nAnswer: y**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**5 - 4*p**4 + 48*p**3 + 32*p**2 - 96*p - 64 = 0. Calculate p.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-18)*-21 + -2)*0. Solve t = -4*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-20)\/(-50)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -911, -7093, -23849, -56459, -110203, -190361?\n\"Answer: -880*h**3 - 7*h**2 - h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15908 divided by 479.\nAnswer: -15908\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 2659\nAnswer: -37226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 2:32 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -50, -79, -106, -131?\n\"Answer: h**2 - 34*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*o - 29, -o + 2*f - 3 - 6 = 0. Let r = -894 - -895. Calculate the greatest common divisor of o and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34547 and 579?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/30 + 3*j**4\/4 - 35*j**3\/6 + 206*j**2. Let q be l(5). Put 3, -25, q, 4 in descending order.\nAnswer: q, 4, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 73 = -3. Let q be (12\/(-2 + 1))\/((-1)\/54). Suppose 8*f - q = t*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.92 + -0.94. Let l = 0.22 + x. Which is the third biggest value? (a) 6\/7 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:52 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 20, -33, -94, -157, -216, -265?\n\"Answer: q**3 - 13*q**2 - 7*q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3. Let t(g) = -g + 4. Let b(k) = -4*a(k) - 3*t(k). Let m(r) = -2*r**2. What is b(m(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/144 - (1804\/(-6) + -1). What is the second derivative of 301*o**3 + 2*o + 3*o**4 + 30 - d*o**3 wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/7, -21\/16, 4.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:11 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 39*t = 10. Let a(q) = 16*q**3 + 2*q**2 + 2*q + 5. Calculate the remainder when a(t) is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -18. Let i(u) = -6 - 2*u**2 - 7*u**2 + 13*u + 0 + 8*u**2. What is the units digit of i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05679 * 20.\nAnswer: 1.1358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))**(-18)*g**(-2\/17)\/(g**9*g))\/(((g\/g**(1\/2))\/g)**(-8\/5)\/(g**(3\/7)\/(g*g**(1\/2)))) assuming g is positive.\nAnswer: g**(-14267\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44770.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgpm when four letters picked without replacement from bpmfgjf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -3*y**2\/2 - 2*y - 1. Suppose 0 = -3*m + 2*a - 27, 6*m - m = 4*a - 47. Is 7 a factor of b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(77)*-2)\/(sqrt(121)\/sqrt(275) - -2*sqrt(275)).\nAnswer: -20*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h**(-1\/4))\/h)\/h)\/h)**(-25)*(h*h**(-3))\/((h**(-2\/9)*h)\/h) assuming h is positive.\nAnswer: h**(1061\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*((-210)\/(-21))\/(-10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6)*4 + (0 + sqrt(7))*2)**2 + (-1 + sqrt(448) + 1)*-3.\nAnswer: -24*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**8)\/h*h*h*h**(3\/16)\/h*h)\/(h\/(h*h\/(h*h**15))*h\/(h**(-16)\/h)) assuming h is positive.\nAnswer: h**(-621\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3541*p**3 + 2*p**2 + 6*p - 8. Let v be (-5)\/25 + 6\/5. Is g(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 - 7) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 7, y: 2, s: 3}. Give prob of picking 1 h and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 3. Let s(f) = -3*f - 2. Let n(r) = 7*s(r) - 4*y(r). Let j(h) = 2*h**2. Give n(j(b)).\nAnswer: -10*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -190.\nAnswer: 96\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2323 - 2297 = -13*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*h + 226*h = -279870. Is -9331 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buob when four letters picked without replacement from cdcbcbuodcodiduoccb?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/330)\/((-2)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1619 - 11447 = -26*i. What is the lowest common multiple of 168 and i?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*i - 16 = 0, 5 + 3 = 2*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/6 - -1537 - 0\/(-1). Are y and 1518 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f. Let d(b) = -468*b + 1394*b - 464*b - 475*b. Give -8*d(c) - 5*r(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 2 = -32*w, -2 = -4*j - 4*w - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 10*u**2 - 57*u - 386. Let k be q(-12). Solve 5*c = -2*x, -k*x = c - 9*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 61\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2 + sqrt(175))*2 + -3 + sqrt(175) + -5 + (sqrt(175) - 3*(sqrt(175)*-2 - sqrt(175)))*6 + 5))**2.\nAnswer: -158760*sqrt(7) + 25006464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 11, 5.\nAnswer: 5, 11, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6344, 6340, 6336, 6332, 6328, 6324?\n\"Answer: -4*a + 6348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/4 - 41*w**2\/4 - 138*w - 612 = 0. Calculate w.\nAnswer: -17, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 683623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nddodncnnn. Give prob of sequence coco.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2018669 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132000002 = -5*u + q, 5*u - 4*q - 132000004 = -2*q. Suppose -u = 7*a - 4*a. What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3\/(-7 + 984\/140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -11 - (3 + 0 - -1 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 268198*j - 1. Let t(q) = 2*q. What is t(w(k))?\nAnswer: 536396*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 0.06. Let k = 0.2 + a. Which is smaller: 2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 - d**4\/24 - d**3 - 34*d**2. Let b be r(-3). Suppose 10*g - b = 7*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*-2)*-5 + sqrt(85))\/(sqrt(35)\/(sqrt(21)\/sqrt(3))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:15 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + b - 15, -5*r - 3782 = 3*b - 3799 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 207 = -0*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let v = 0.043 + -22.043. Let j = 21.9 + v. What is the second smallest value in q, j, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 divided by -747?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6747108284?\nAnswer: 2, 7, 109, 157, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*u**3 - 494*u**3 + 191*u**3 - 1735*u**3.\nAnswer: -2816*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 3*m - 1. What is x(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -1.25. Let q = 0.05 - s. Let d(l) = l**3 - 6*l**2 + 6*l - 5. Let i be d(5). What is the nearest to i in 0.1, 4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-2)\/(-8)*0. Suppose k = 4*f + 4 + 12. Let l be (f + 2\/(-1))\/(-1). Solve -n + 5 = -2*z - 2*z, -l = 5*z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u + 36. Let p be 2499\/(-714)*(1 - -1). Give h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**(-5)\/(g**11)**(-2\/65) assuming g is positive.\nAnswer: g**(-3228\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/19, 0.08, 9, 0.4, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than -5279.455804?\nAnswer: -5277.555804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 859 = 304. What is the greatest common factor of 37 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 3*y + 4*y + (-4 - 1 + 3)*(-1 + 1 - 2*y) - 1 - 568*y + 1120*y - 574*y.\nAnswer: -16*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -6972 and 5861 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/13 - 90*w\/13 = 0. What is w?\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - 2*sqrt(15))*5)\/(sqrt(363)*3) - ((sqrt(605) + -1)**2 + -5 - (-1*sqrt(605)*-2 - sqrt(605)))*5.\nAnswer: -3005 + 5440*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + -b32?\nAnswer: -b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -3*y**4\/4 - 40*y - 4. Let w(n) = 3*n + 2. Let h(x) = -x + 2*x - 2*x - 1. Let u(b) = 6*h(b) + 3*w(b). What is l(u(c))?\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130222301030 (base 4) to base 13.\nAnswer: -1731893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 248? (a) 1 (b) 5 (c) 2\/3 (d) -1 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87\/5 of a kilogram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 3)*(-1 + 3 + 0) + 12 + 25 - 24)*(-g + 4*g - 4*g)*(4383 - 4383 - 35*g) in the form w*g**2 + o + d*g and give w.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 4 = 2*k + 2*g, 0 = -2*k + g - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4023*-4\nAnswer: 16092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1017.8 - -1046.326. Round m to one decimal place.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 34*f - 2482. Let i be n(73). Solve 0 = 4*z + 3*s + 19, s + 2 = 3*z - i*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/60 and 71\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t + 2. Let x(z) = -z + 9. Let j be x(6). Let m(s) = 1. Let q(i) = j*m(i) - o(i). Calculate q(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 = 12. Suppose 0 = -5*s + w + 6. Suppose -4*m = -0*m - s*g - 2, -4*g = 3*m - 29. Solve 2*p = -3*d - m + 16, p - 4 = -d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 0.2, 11\/2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Let k = 1.183 + -0.203. Let y = -1.48 + k. What is the closest to h in y, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -2542?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -242*-896\nAnswer: 216832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7*x - 9 = 0, 2*x = 3*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Suppose 2*d + 2 = 6, -5*k + 17 = -4*d. Suppose 0*z - 4 = -z + f, h = k*f. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.1745311 - -0.03477.\nAnswer: 11.2093011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + -1.6. Let u = 2.1 + o. Let w = 38 - 151\/4. Which is the second smallest value? (a) 4\/9 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/2213 (b) -479 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*2\/(-2). Let f(a) = -5*a + 1. Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2 - 193738*d = 0.\nAnswer: 0, 96869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2536, -2, -1 in descending order.\nAnswer: 2536, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.68*-29192.\nAnswer: -340962.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -285\/11 (b) 0.4 (c) 1\/6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*(-6)\/(-5))\/3. Solve y - v*y - 3 = -r, 3*r + 5*y - 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 + 6*c + 14. Let z be t(7). Let h = z + 46. Solve 5\/4*m**2 - 7\/4*m**5 + 0 + 9\/4*m**3 - 1\/2*m - 5\/4*m**h = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5647 + 0.7257. What is the nearest to -1\/4 in 5, -2\/23, f?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 6. Suppose 26 = -4*x - 2. Let n be m(x). Solve i - 2*i = -n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose -6 = -3*c - w, -c - 2*c + 6 = 5*w. Factor -v**c + 2\/5*v - 7\/5*v**3 + n.\nAnswer: -v*(v + 1)*(7*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 + -202. Let m be (-1)\/(-1)*-1*49. Let f = -16 - m. Calculate the remainder when s is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55485 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 3267?\nAnswer: 3267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202616 and 344?\nAnswer: 202616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/240 and 28\/33?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43183857 + -43148726.062. Let o = g + -35201. Let j = o - -70. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 204 = -2*s. Let i be (2\/(-3))\/(17\/85)*(-102)\/10. Calculate the greatest common divisor of i and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:11 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 403 + -401. Suppose k*h + 4*a = 24, -h = a - 15 + 8. Solve -h - 2 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - s. Let r(y) = 5*y**3 - 13*y**2 - 4*y + 5. Let m(d) = r(d) - 4*t(d). Let u be m(9). Solve 2*v + 6 = -z, 0 = z + v + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b35 (base 12) to base 10.\nAnswer: -6809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-83)\/(-50)*10 + -17. Let q = -45\/2 - -22. What is the nearest to k in -5, q, -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28340 by -5668.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13310 + 21?\nAnswer: 13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 e, and 1 s when four letters picked without replacement from esssseeeseseseessesw?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 34*n = 32*n - 10, n - 5 = 0. Does 45 divide 408 - (r\/3 + 20\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*f**2 + 83*f**2 + 28*f**3 - 141*f**2.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69253 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from ccxcqdcddq?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1526.9 - -1527. What is the second biggest value in y, -1, -0.06, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*d + 2)*(-1 - 29 + 2)*(-1 + 0 - 4)*(-5*d + 3*d + 6*d) to the form y*d + l + j*d**2 and give j.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-973 + d + 980 + 6*d)*(6*d**2 - 6*d**2 - 3*d**3) to the form b*d + s*d**2 + c*d**3 + l + g*d**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22*v = -20*v + 12, -2*p + v + 1 = 0. Which is the fifth biggest value? (a) 3 (b) 2\/75 (c) p (d) 5 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-151)\/6 - 5) + (-2)\/(-12). Let x be b\/(-25)*-4*10\/(-16). Suppose -4*t + 5 = t. Put t, x, 5 in ascending order.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 8*l - 5. Let s be n(7). Suppose -5*m + 296 = -s. What is m rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -29. Let g = 2010711175 + -2010711196.00000003. Let p = g - u. Round p to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -536981\/5 - -107401. Solve 0 - 72\/5*k - 2\/5*k**3 - n*k**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 175854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -38777 + 7937. Factor -3*z**2 - s*z + 2064*z + 7*z**2.\nAnswer: 4*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -8. Let m = 6 + s. Which is the biggest value? (a) m (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14372373967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0*y**3 + 0*y**3)*(-5 + 0 + 3) + 2*y**2 + 7*y**3 + 5*y - 4*y + 2*y**3.\nAnswer: 13*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d + 1365 = 97*d. Solve 3896*y = 3909*y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 + 17 - 1\/1. Suppose -29*q = -33*q - o. What is the units digit of 1 - -62 - (-12)\/((-6)\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11477 - 11452. Solve w + 2*i - 1 = 0, 5*w - 4*i + c = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945 + 496 = 114*s + 17*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -221 + 45.5. Round h to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3963112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317351846*f**2*v + 4502*f*v + 3*f - 3162*v wrt f.\nAnswer: 634703692*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 2*h + 5*h + 198*h**3 + 3*h.\nAnswer: 198*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*r - 7, 0 = 19*z - 14*z + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(0*q - 2*q**4 + 0*q)*(-1666*q + 90*q + 710*q).\nAnswer: 6928*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 823.9998823 - 824. Round b to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:38 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from bbvbbvv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from ijjijiiiiijum?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-116.7.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**6\/720 - 19*h**5\/360 + 11*h**4\/72 + 10*h**3\/9 - 2*h**2 - 70. Factor g(c).\nAnswer: -(c - 2)*(c + 1)*(c + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4223 divided by -300.\nAnswer: -4223\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3800 and 99\/10.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - 2*m**2 - m**2)*(-11*m**3 + 7*m**3 - m**3 - 3).\nAnswer: -15*m**5 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/820 and 55\/28372.\nAnswer: 141860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -214 (b) -1.77 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 13*o**2 - 7*o + 0 + 7\/2*o**3. Find the first derivative of s(m) wrt m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8)**(-32)*(d*d*d\/d**(11\/2)*d)\/(d*d**(-1\/25)))**47 assuming d is positive.\nAnswer: d**(-607381\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwwkkkw?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 7 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -701, -1047, -1391, -1733?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 2*y - 10*y + (4 - 1 - 1)*(2*y - y - 3*y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*q = 2*q - 66, 3*i + q = 99. Let m = i - 22. Let c = m - 7. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -0*w. Let z be w\/4 + 242\/112. Let l = z - 19\/8. Is l at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 2. Let o(j) = -10*j + 7. Let s(h) = 14*m(h) - 4*o(h). Let g(p) = -p. Determine g(s(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -11.39 (c) -37\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 283524337, 567048676, 850573015, 1134097354, 1417621693?\n\"Answer: 283524339*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + y - 260 - 108, -2*h = -2*y - 748. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.39366 + -0.10634. What is the nearest to x in 4\/5, -37, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**3*y**3 + 3536*g**3*y + 17387*y**3 wrt g.\nAnswer: 15*g**2*y**3 + 10608*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/4 - 17*g**3\/6 + 2*g. Let k be (-1 + 4 - 1)*1. Let o(p) = 0*p - p**k + p - 7*p. Calculate 6*n(f) - 17*o(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 37 + 5 = -3*s, -2*s = 3*a - 25. Let l(f) = -2*f**3 - 7*f**2 + 10*f - 12. Let k be l(-6). Suppose 105*o = k*o - 27. Is s greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -2\/11, 425006, 0.4 in ascending order.\nAnswer: -2\/11, -0.1, 0, 0.4, 425006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 + 0.5. Let d = 0.07 - 0.07. Let v = d - -1. Is i at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 12*n**2 + 11*n - 27. Let h be o(-11). Let r = h - -43. What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/143 - 4\/(-495)*-5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-five thirds of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2543631, 5087269, 7630907?\n\"Answer: 2543638*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*f - 362*f - 4413 + 202 - 6128 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -657006373 to the nearest 100000.\nAnswer: -657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149950 + -149950. Factor 1\/2*s - 19\/4*s**2 + a - 21\/4*s**3.\nAnswer: -s*(s + 1)*(21*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 210*a + 80170 = -211*a, -5 = 5*a. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3\/5 + 8836*b**2\/5 - 8839*b\/5 + 442 = 0?\nAnswer: -2210, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + -169. Calculate the highest common factor of k and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/6 - 612701*w - 1126207546203\/2 = 0?\nAnswer: -1838103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 - -4)) + -11 + (-3 - -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from xbxoxnzzxnznxxnnnnx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 2*q**2 + 3*q + 3. Let m be f(-3). Suppose 0 = 4*b - m*b - 4. Let y = b - -2. 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: Do -0.05 and -1.34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -5, 2\/7, -9, 0.11 in descending order.\nAnswer: 29, 2\/7, 0.11, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from wfvvffvvfvfi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310 by -5.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11267*i**4 - 8*i**2 - 2782.\nAnswer: -270408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450629817?\nAnswer: 3, 11, 197, 69317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1423 - 1402. Solve -15*m - 6 = -c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*h - 1105*h = 2349 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/5, 2\/3, 152?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(9) + 1 + -5.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s = 25*s - 18620. What is the remainder when s is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64381930*z + 80343955 wrt z.\nAnswer: 64381930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3*h - h + (-h + 2*h - 3*h)*(-1 - 1 + 3) + (-215*h - 251*h + 410*h)*(1 + 3 - 1 + (0 - 4 + 2)*(2 - 4 + 4)) in the form z + m*h and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*i + 15. Let x(y) = 16*y**3 - 36*y**2 + 20*y - 4. Let k(o) = 32*o**3 - 72*o**2 + 39*o - 8. Let u(c) = i*x(c) - 4*k(c). Factor u(j).\nAnswer: 4*(j - 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4388*k - k**2 + 21*k**3 + 4388*k.\nAnswer: 21*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7*a + 6*a + 664 = 0, -3*g = -5*a - 475. Calculate the greatest common divisor of g and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251 + -46. What is the first derivative of -4 + h*k**2 - 230*k**2 - 4 wrt k?\nAnswer: -50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 - 5*j**2 + j - 10. Let h be -2 + (2*6)\/(-3). Let d(f) = -f**3 + f**2. Let o(z) = h*d(z) - b(z). Determine o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f + 3. Let v be t(-1). Factor -2 + 2*r**2 - 9*r**2 + v*r**2 - 2*r + 2*r**3 + 0.\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 130*m**2 + 219*m - 10. What is a(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, 533, -3, -5 in descending order.\nAnswer: 533, -2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l - 16 = 0, 0 = h + 4*l - 120. Suppose -3*t = -2*u + 2355 + h, -2*u - t + 2511 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3510725, 3510734, 3510745, 3510758, 3510773?\n\"Answer: h**2 + 6*h + 3510718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084485635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 7, 0.2 in increasing order.\nAnswer: -2\/37, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*y - 17 = 0, 85*f + 4*y = 80*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 12. Let c(u) = 2*u**2 - 60*u + 11. Calculate c(a) + m(a).\nAnswer: 2*a**2 - 61*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 6. Let s be u(-4). Suppose -s*b = d - 11, 0*d + b = d - 17. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5247889400 to the nearest 1000000.\nAnswer: -5248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**4*j)\/j*j)\/j)**2)**(-9\/2) assuming j is positive.\nAnswer: j**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/8 (b) -1\/5 (c) 17 (d) 991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -107*t - 3030. Give n(-34).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845365 is divided by 1699?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -17b6?\nAnswer: -17b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**25)\/t*t**1*t**(-2\/5)*t\/t**(1\/6) assuming t is positive.\nAnswer: t**(793\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484521 is divided by 242215?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106939, 103895, 100849, 97801, 94751, 91699?\n\"Answer: -g**2 - 3041*g + 109981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-806)*1*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -0*m - 3*m. Suppose 0 = 2*o - 35 + m. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 406 - 405. Let y(c) = 12794*c**3 - 2*c**2 + 8*c - 7. Is y(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/90)\/((-6)\/5)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49293298.8 rounded to the nearest one thousand?\nAnswer: -49293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448*-0.11.\nAnswer: 49.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:03 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 201117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (161*4\/126)\/((-8)\/(-648)*9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((-2*sqrt(70) - sqrt(70))\/sqrt(10)) - (((sqrt(304))**2*-4 - sqrt(19)) + 3*1*sqrt(19)).\nAnswer: -7*sqrt(19)\/3 + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from cjcjjjccjjcccj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 176*d\/9 + 178\/9.\nAnswer: -2*(d - 89)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 666337\/5 or 133268?\nAnswer: 133268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -522185000 rounded to the nearest one million?\nAnswer: -522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 464837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8006790 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1597 - -1807. Calculate the least common multiple of h and 1.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*v - 183. Is v\/(-5) + 10\/25 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*n = 2*y + 780*n - 466, 4*y - 5*n - 906 = 0. What is the remainder when y is divided by 121?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:22 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 16*m - 32 - 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492697434 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3139 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, 1176, 32 in ascending order.\nAnswer: -19, 1, 32, 1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1273729393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378928725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 49, 62, 75, 88?\n\"Answer: 13*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23818598*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 + x**2 - x**2 - 2*x**2 - x**2 + x**2 + (x + 0*x + 0*x)*(-x - 2*x + 2*x) + 10*x**2 - 39*x**2 - 2*x**2 - 17*x**2.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x + 3*d - 9, -x + 10 = 5*d. Suppose -2*f = 5*b + 9, 3*f - b + 0*b + x = 0. Sort 0, f, 26 in descending order.\nAnswer: 26, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 3. Let o be c(0). Suppose 8*r - o*r = 30. Solve -r*l + 15 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 914*c**7\/105 - 589*c**4\/8 - 517*c**2. Find the second derivative of t(u) wrt u.\nAnswer: 21936*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 s when four letters picked without replacement from vsvvsvs?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - t - 58 = -9*a, -5*a - 5*t = -70. What is the smallest common multiple of 2 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17682 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37957, 37888, 37697, 37324, 36709?\n\"Answer: -10*h**3 - h**2 + 4*h + 37964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/3 - 32*k**2\/3 + 122*k\/3 + 152\/3 = 0.\nAnswer: -19, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 593*d + 6. Let m be s(1). Let r = -396 + m. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.144005 centuries in years?\nAnswer: 314.4005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 586 and 982429.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2588662l?\nAnswer: 258.8662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/18*3*(-12)\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*2*3 + sqrt(10))\/(sqrt(4)\/sqrt(2)*4) + (2 + sqrt(55)\/sqrt(11) - 1*sqrt(5)*4).\nAnswer: -5*sqrt(5)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7395 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -756, -1552, -2386, -3264, -4192, -5176?\n\"Answer: -o**3 - 13*o**2 - 750*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.02, 2, -1, 2707?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0. Suppose 4*t + 2748 = -d*t. Does 6 divide t\/(-33) + 4\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 551, 1236, 2193?\nAnswer: 3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1421 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10425 + 10412. Which is the second biggest value? (a) 3\/4 (b) h (c) 3 (d) -2\/153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = -13. Suppose -167*v + 126*v = 205. Sort 110, f, -2, v.\nAnswer: v, f, -2, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/84 + x**3\/21 + 4*x**2\/7 - 53*x - 58. Let z(d) be the first derivative of m(d). Find q, given that z(q) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4752 (base 8) to base 14.\nAnswer: cd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 124 = 4*s, -y + s + 32 = -0*y. Let h = y + 7. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4\/(8\/6)). Suppose -3*y - 16 = -u, u + 4*y - 10 - 6 = o. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12224738137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f**2 + 10*f - 9. Let u be (-1 - 2) + (12 - 3). Let k be x(u). What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, h: 3, m: 1}. What is prob of picking 1 h and 2 d?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 25 - 101)*(-2*s + 4 - 4 + (2*s + 0*s + 0*s)*(-3 - 1 + 3)) to v + c*s and give c.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w + 8*w**2 + 8*w + 0*w**2 wrt w?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -748000 to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 - 30 = 0. Let a = 13 + l. Solve 2*y - a = 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 6*q**2 - 107*q\/5 + 78\/5.\nAnswer: -(q - 26)*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019765 rounded to six decimal places?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1480 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 8*w + 21. Let i be h(4). Suppose 0 = -2*k + i*j - 7, -2*k = -3*j + 6*j - 33. Solve 0 = -3*r - 0*r + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 7) to base 13\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:18 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437 - 1413 = 2*x. Is 56\/5 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983 = z - 1018. What is the highest common divisor of z and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1.91, -4\/13, 2\/3, 159?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1660 (base 7) to base 6\nAnswer: -3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3167*i + 50667. Calculate f(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -44. What is the highest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 5. Let d(y) = y**2 + 4. Let l(z) = 5*d(z) - 4*o(z). Let u(a) be the second derivative of -a**3\/2 - 665*a - 1. What is l(u(m))?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 173. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from {g: 8, r: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - 4.88. Let h = 0.298 + 0.002. Put -2, h, v in decreasing order.\nAnswer: h, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 8 = 0. Let d(o) = 0 + 7*o - b*o + 0. Let q(n) = -2*n. What is d(q(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214445926 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8976 and 7888.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1491228\/11 + 135392. Let o = p - -174. Let b = -3 + 4. Put 0.1, o, b, 0.5 in ascending order.\nAnswer: o, 0.1, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + v**2 + v. Let u(h) = -h**3 + h**2. Suppose -302 + 305 = 3*j. Determine j*l(y) - u(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242 - 2234 = -325*v + 9*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (sqrt(342)*1)\/(sqrt(16)\/sqrt(72)).\nAnswer: -2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -388 + 392. Let w(y) be the first derivative of 0*y**2 + 1\/2*y**l + 5 + 0*y + 2*y**3. Find the third derivative of w(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*u - 2*u - 2*h, 1 = -3*u + 2*h. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 5*z**3 - z**3)*(-4 + 4 - 2*z) - 2*z**4 + 5*z**4 - 5*z**4 + (2*z**4 - z**4 + 0*z**4)*(6 - 5 + 5).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -4 (c) 0.1 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 7*w**2 + 7*w + 6. Determine v(-9).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + x + 9, -4*w - 292*x - 16 = -289*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -18. Let c = 13619 - 13502. What is the remainder when c is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18477 = -4*k + f - 5469, -3*f = -4*k + 13008. What are the prime factors of k?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2948*j + 49755 - 49753 + 145*j)*(3 + 0 - 1) as w*j + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20304 is divided by 4965.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 + 3*n**2 + n + 0 - 5*n**3 + 3. Let q = -5 - -2. Let o be l(q). Solve o = -2*u + 3 + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:24 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 16*r**2 - 2*r. Let v(t) = 5*t**3 + 81*t**2 - 11*t. Let g = 628 + -630. Calculate g*v(a) + 11*x(a).\nAnswer: a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 236*k - 35. Suppose r + 24 = 5*j - r, -4*r - 20 = -3*j. What is the hundreds digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -4 (c) 3.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.2 + 1.2. Let g = -7 + 6.7. Let a = -1 - -1.1. What is the second smallest value in m, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17239 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 13*r - 108. Suppose -4*a - l + 199 = 0, -a - r*l + 17*l + 76 = 0. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024497743 to 7 dps.\nAnswer: -0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*n - 46, -4*b + 78 = 4*n - n. Suppose 2*v + 3*x = -b + 47, v - 2*x + 3 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36941 divided by -3.\nAnswer: -36941\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72003, -71934, -71771, -71466, -70971?\n\"Answer: 8*i**3 - i**2 + 16*i - 72026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 42. Suppose 45 = 2*s + s. What is the greatest common divisor of k and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 805940?\nAnswer: -805942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.2 - 39.6. What is the third biggest value in -1, 1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537587937.\nAnswer: 43, 35757859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-43)*(m**1)**(-5) assuming m is positive.\nAnswer: m**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -9 (c) 2 (d) -88.13 (e) -13\/2 (f) -3 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.9. Let n be (-68)\/(-84) - 2\/3. Let r = -9471\/2 + 4734. What is the closest to n in w, -0.3, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-5 + 3 + 0)*(7*u**3 + 6*u**3 - 15*u**3).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(78)*1 - sqrt(78) - sqrt(78))*-5)\/sqrt(6) + (-3 + (sqrt(13) - sqrt(65)\/sqrt(5)))*1 + -4)*-6)**2.\nAnswer: -7560*sqrt(13) + 107064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 7*s)*(-2 + 5 - 1)*(-5 + 2 - 1).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 11*m + 161. Determine n(21).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*o + 129, 2*o = 5*p - 3*o - 120. Does 14 divide 6\/(-3) - (0 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/39*(1 + -13). What is the highest common factor of 88 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1728 + -1078. Is 50 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 695? (a) -3 (b) 0.21 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -316, -1298, -2942, -5254, -8240, -11906, -16258?\n\"Answer: -o**3 - 325*o**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (36 + -5) - -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 times 133?\nAnswer: -8.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/24 - p**3\/6 - 3*p**2. Determine u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, -1, -11, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/14 (b) -194 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98845 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 55 = -5*m, m = -0*l + 4*l - 37. Let r be 48100\/18 - ((-11)\/(-9) - 1). Suppose l*p + r = 26*p. List the prime factors of p.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14133031 minus 4079.41?\nAnswer: 14128951.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -12, 1, -3, -83 in decreasing order.\nAnswer: 14, 1, -3, -12, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2996.\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49214548*c**5 - 16023*c**2 + 4*c - 218.\nAnswer: 2952872880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(-5 + (sqrt(275) - ((sqrt(275) - 1*(sqrt(275)*2)**2) + sqrt(275))) + (-1*sqrt(275))**2 + -5 + sqrt(275)).\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 12b?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -789.1848915?\nAnswer: -788.1848915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**3 + 885*z**2 + 885*z**2 + 163 - 53*z**3 - 1773*z**2 with respect to z.\nAnswer: -180*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 434954*r\/5 - 1739848\/5.\nAnswer: 2*(r - 217481)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*q**2 - 116*q - 5*q**3 + q**3 + 3*q**3 - 127*q + 235*q.\nAnswer: -q**3 + 112*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 25. Let w(d) = 1. Let v(u) = -t(u) + 3*w(u). Is v(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 13*i + i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8*k - 339 = -6*h - h + 8*h, 3*k + 137 = 8*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.3 - -12.3. What is the closest to 3 in 0.1, u, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -1\/3*k**3 + 1\/2*k**2 - k + 3 + 1\/4*k**4. Determine r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16845053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*p + 16, 3*p = -p + t - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*c = -290. Let q(k) = -k**3 - 9*k**2 + 3*k - 1. Let a be q(-9). Let v = c + a. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o + 4. Let x(w) = -w**2 + 10*w + 4. Let t be x(10). Let f be y(t). Let p = 38 + -34. What is the greatest common factor of f and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-5)\/1)*2804\/12. Let m = 1822 - k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let l = 943.195 - 941. Let r = 0.195 - l. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262650*s**2 - 222302*s**2 - 269156*s**2.\nAnswer: -754108*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41532 + 41532 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 126322?\nAnswer: 126306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 + 2*y - 10. Let u be (-8)\/24 + (-22)\/6 + -1. Let l be h(u). Factor -7*a**3 - 25*a**4 + a**l + 5*a**3 + 26*a**4.\nAnswer: a**3*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121 - -918a7?\nAnswer: 91a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/3754 and -79\/6?\nAnswer: 11262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + x = -46, -3*x = 2*x - 10. Let h(j) = 7*j - 69. Does 3 divide h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -26. Let s be (-12)\/21 + (-172204)\/y. Suppose s = 2*d - 8*d. What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2\/7 (c) 305 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3*i + 0*i - 4*i) + 5*i + 45 - 45.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6*k - k - 1 = 0, k = 1. Put 4, -3, i in increasing order.\nAnswer: -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.651814 kilometers in meters?\nAnswer: 2651.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -859\nAnswer: -2\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*r + 496*i - 402*r**2 wrt r?\nAnswer: i - 804*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -33. Solve o*i + 2*i = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*p*u - 9*f**3*p + 63311*f**3*u + f**3 - 7563*f**2*p + 9*f**2*u wrt f.\nAnswer: -6*p*u - 54*p + 379866*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*c + 15, 4*o + 2*c - 3*c - 15 = 0. Solve -2*b - 3*k + 1 = 0, 0 - 4 = -o*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -11, -40, -101, -206?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let j = 18\/7 + -24\/7. Which is the second smallest value? (a) -2\/19 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -240 - 3\/5*i**2 + 24*i = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3*(-22)\/(-6))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 231 and 1428.8?\nAnswer: 1197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72313*h**3 + 75587*h**2 wrt h.\nAnswer: -433878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*q**2 + 143*q**2 - 56*q**2 + 140 - 1396 + 6*q wrt q.\nAnswer: 46*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 928356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1264 = 4*j - 408. Let x = 293 + j. What is the remainder when x is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 3\/(-1 + 2\/(-4)). Suppose -27 = 3*n - o*x, 3*n - 9 + 4 = -5*x. Let g be -3 + (-130)\/n + -4. Solve 4*i - 18 = 2*b, 5*b - g - 1 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 11. What is the smallest value in 5, 3, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tloz when four letters picked without replacement from {t: 1, m: 3, l: 7, b: 1, o: 7, z: 1}?\nAnswer: 49\/116280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 - 5*o - 2. Let j be u(6). Let i(n) = 6*n + 9*n - 11*n + 4. Let t be i(-2). What is the biggest value in -0.4, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = -5*c + u - 64, u + u = 3*c - 191 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/10 + 3773*q**5\/20 - 2833*q**4\/8 - 472*q**3 + 6735*q**2. Factor g(i).\nAnswer: 3*(i - 1)*(i + 944)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-4)\/3*(-10 - -6). Suppose -4*w = -8*w + g. Solve 2*m + w = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 8, -5, 1, 0.06, 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2860 + 2880. Solve -2*q + 229*b = 226*b - 8, -b - r = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + (29 - -94) + (-1 - (2 + 0 + -35))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2257 + 2259. Let i = 12 + -6. Solve -v*z = -i, -5*r + z - 13 = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 1340*x - 1345.\nAnswer: 5*(x - 269)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*w - 13*w + 117. Solve -7*f - 3 = -3*f + j, -f + w = j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -0.0513\nAnswer: 5.3865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3015 = -1116*f + 111*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 132. Let m be (1\/(-3))\/(5\/q). Let v = 4.4 - -0.6. Which is the second smallest value? (a) v (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqvqjveqehevqeo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 3, l: 5}. What is prob of picking 3 l and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 648 = 2*x. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.6226531102 and -13.2.\nAnswer: 2.4226531102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13)*72\/1512.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.731 - 0.731. Are -2\/11 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(72) + sqrt(11) - sqrt(44)*5.\nAnswer: -53*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -81. Suppose w = 2*v - 3, 19*v - 3*w = x*v - 15. Solve 10 = v*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29586 is divided by 288.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 8806149?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5450\/654*(-135)\/25.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27729 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-150)\/(-280). Suppose 0*u = 2*b - 4*u + 14, u = 0. Let h = b - -8. What is the smallest value in 1.1, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264713 and 2619?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -64, -174, -376, -700, -1176, -1834, -2704?\n\"Answer: -5*p**3 - p**2 - 10*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (1 + 2)) + -26 + 58?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2801048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -3*l**6\/40 - l**5\/20 + 13*l**2. Find the third derivative of p(w) wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*n - 0*k + 10, 5*k = 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662490 divided by 510?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 31*i + 54. Sort 5, 2, -4, i in decreasing order.\nAnswer: 5, 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecl when three letters picked without replacement from {e: 1, c: 2, l: 1, d: 2, v: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529246404 and 522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:09 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/(-18)*(-162)\/4. Round w to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + l + 5 = -0, 5*o - 11 = -2*l. Solve -o*n = 5 + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/24 + 2*d**3 - d**2. Determine r(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 4. Let b be u(4). Let v(t) = 3*t**2 - 92*t - 225. Let c be v(39). Suppose 108*g - 103*g - c = b. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 7 = -g, 870 = s - 4*g + 841 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 34*y = -2*x - 10, 4*x = 3*y. Solve -3*l = -y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4 + 1)*-10. Suppose 0 = 5*d + 2*o - 12 - 94, 0 = 3*d - y*o - 45. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + 1. Let s = 77.5 - o. Suppose -4*r = -a + 17, -3*a - 2*r = -4*r - 21. Sort s, 1, a in increasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1562 - 1080. Let h = t - 343. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20940 by 35.\nAnswer: 4188\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 126. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 + 4 = 3*c, 3*d + 2 = 5*c. Let h = -6423 - -269735\/42. Let t = -1\/14 - h. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23.5 in 2\/9, -2, 8, 71, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 12 - 0. Suppose 5*g - 3*j - 25 = 0, 3*j = 4*j. Suppose 2*n - d = g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372830743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 2*d**4 - d**4)*(2*d - 3 + 3) + d**5 + 6*d**5 + 0*d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**3 - 11 + 11 - f**2 + f**3 + f**2 + (-f**3 - f**3 + f**3)*(2 - 6 + 2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-297) - 4322172\/162. Let y = o + 55179. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27036, 53462, 79276, 104478, 129068, 153046, 176412?\nAnswer: 199166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 478 = 2*c, 5*x + 47 = -2*c + 525. Let q = 244 - c. Let l(r) = -5*r. Let g(p) = 2*p. Give q*g(w) + l(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 6*o + 2*o)*(-7*o**2 + 9*o**2 - 6*o**2 + 2*o) to g*o**3 + i*o**2 + a*o + x and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 27*t**2 - 119*t + 116. Determine c(-14).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j + 4. What is the smallest common multiple of d(-10) and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14162741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62044387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50784 is divided by 170?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-30)\/18)\/((-10)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2 - 33*b + 13*b + 7*b + 11*b. Calculate x(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 3, -350, 0.05, 8\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - (-13 - -8))*(4\/9)\/((-1)\/(-3)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(1\/(-4)). Suppose 0 = o*h + 2 - 4. Let b be (-1)\/(h\/(88\/(-4))). Solve -5*l = -0*l - n + b, -2*l + 2*n = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 10*x - 1. Let q be b(-7). Let r = 43 + q. Suppose -4*j + 3*t = -r, 15 + 3 = j - 5*t. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7191441 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z - 4. Let f = 27 - 24. Suppose 3*m - 3 = f. List the prime factors of b(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 4)*(-9)\/12*1. Let b(x) be the first derivative of -1\/2*x**2 + 1 + 1\/3*x**d - x. Determine b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -9)*8\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:18 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let k(h) = -h**2 + 11*h - 1. Let l be k(10). Let v(t) = -9*t**2 + 9*t + 9. Let c(r) = r**2 + r + 1. Let u(p) = l*c(p) - v(p). Give z(u(b)).\nAnswer: 648*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 24, 38, 58, 84, 116?\n\"Answer: 3*p**2 - p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y - 15. Let n be t(8). Let r(u) = -u**2 - 6*u + 3. Calculate r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 62. Which is the third biggest value? (a) -0.4 (b) 2 (c) f (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 2*w + 2*w. Let g(y) = 6*y. Let u(k) = 7*k. Let r(s) = -6*g(s) + 5*u(s). Give r(c(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7588, -7593, -7600, -7609, -7620, -7633?\nAnswer: -7648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*j + j**3 - 5*j**2 + 2*j**3 + 176*j to the form s + d*j**2 + u*j**3 + y*j and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 3 + sqrt(153)*-2 + -4)**2*3.\nAnswer: -324*sqrt(17) + 5589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -472, -1514, -2554, -3592, -4628?\n\"Answer: c**2 - 1045*c + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/60*(21\/(-7))\/(-30)*(-435)\/9?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002507392802 to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352 is divided by 146?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*y = 27*y + 61*y + 4296 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhpvpvvvbhpp. Give prob of picking 1 h and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viw when three letters picked without replacement from {w: 5, v: 5, i: 1}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*q + 647 + 683 + 623 + 693 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/1260 + 7*b**5\/60 + b**4\/3 + 15*b**2. Let n(m) be the second derivative of q(m). What is the derivative of n(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687904.\nAnswer: 2, 13, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.082 - 0.172. Let l = c - 0.09. Let f = l - -0.17748. What is f rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 584*v**2 - 724*v wrt v?\nAnswer: 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-9)\/(-15)*30\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 471342961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 2. Let m be (-2)\/8 + 13\/4. Let o(f) = -8*f - 4. Let w(g) = -6*g - 3. Let z(r) = 4*o(r) - 5*w(r). Calculate m*x(n) + 5*z(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 7*y + 11. Let m(a) = 3*a**2 - 11*a - 17. Let x(g) = -5*m(g) - 7*z(g). Determine x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7478739 to the power of 1\/2, to the nearest integer?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 4*k - 144 = 0. What is the common denominator of 6\/10*104\/(-12) and 14\/(k + -3 + -4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8253103 and -107290333\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 159 = -3*z + 163, 3*x - z = z + 40 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-120))\/(-1))\/((693 - 687)\/(32\/(-18))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)\/(-9 - -7). Let j = -2 - 11. Sort 2, j, r in increasing order.\nAnswer: j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s - 3*h - 35, 0 = 4*s + 4*h. Suppose -2*d - 15 = -s*d. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -1.97. Let x = 0.531 - -3.469. Which is the nearest to 2\/23? (a) x (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 3*a)*(5*a**2 - a**2 - a**2) + (2*a + 2*a - 2*a)*(a**2 + a**2 - a**2) to t + o*a + c*a**2 + z*a**3 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1790140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 284*h + 39781. Determine b(-140).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = -5*w - 4, 3*p - 4*w - 23 = 0. Suppose y - 20 = -2*t, p*t + 3*y = 3*t + 28. What is the greatest common divisor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - 1.2. Let y = 1.1 + -0.7. Which is the biggest value? (a) 3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130808 and 6501?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*g + 36 = 0, -100*z - 96 = -104*z + 2*g. Let t be 69 - -1*(-3 - -3). Calculate the greatest common factor of z and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w = 82*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 10. Let d be z(3). Let k(j) = 903*j - 9 - 890*j - 13 - j**3 + 7*j**2. What is the remainder when k(d) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*h = -2*h - 2, 20 = 2*g + 4*h. Let y = g - -26. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r**3 + 37*r**3 + 2*r**5)*(106 + 99 + 97).\nAnswer: 604*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 27 = 7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 6*m - 15. What is z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyrgfygr. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 1078?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*r + 5. What is the remainder when -45*(4\/6)\/(-1) is divided by (r - (-18)\/4)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, c: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*b - 90*b + 24. What is the second derivative of 18*v**4 + b*v**4 + 2*v**2 + 190*v - 92*v**5 - 21*v**4 wrt v?\nAnswer: -1840*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) -3 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 9936?\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.9 + -0.1. Let j = 46.999972 + x. Round j to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5525*h - 26565 = 4766*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 + 18 = -3*j, -3*j + 2*z = 36. Does 20 divide j\/2 + (-15 - -57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 0*v**5 - v**5 + (3*v**4 + v**4 + 2*v**4)*(-2 - v + 2).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 0 + 0)*(-74 - 89 + 115)*(-2 - 2 + 5)*(4*a + 3*a - 2*a) as u*a + t*a**2 + g and give t.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370661674.\nAnswer: 2, 163, 1136999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3211103 (base 4) to base 13\nAnswer: -68ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + (-26)\/(-9))*1379. Let h = r + 153. What is the third smallest value in h, -1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18003983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 828548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19660211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8124*n**2 + 6*n - 8. Let p be g(4). What is p rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*b = -4*n - 1353 + 930, -4*n - 39 = b for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2)*n)\/(n\/(n**(-3\/2)\/n)))**(-2\/3))**(3\/7) assuming n is positive.\nAnswer: n**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/4*1. Let j(p) = 7 + p - 3 - n. Let l = 1 + -4. Determine j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*a + 36*a - 2*i - 4, a = -4*i - 12. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2. Let v = -38 - -42. Let i(a) = -3*a**2 + v*a**2 - 4*a**2. What is x(i(k))?\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -6683746 and -2\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17316 and 2.\nAnswer: -0.34632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -18. Let l = 34 - 38. What is the remainder when 42 is divided by (g\/l)\/(6\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -579 + 24335\/42. What is the common denominator of 37\/49 and m?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1 + -1*(-65)\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -27. Let m = -17.5 - q. Let i = 584 - 587. Which is the fourth biggest value? (a) i (b) m (c) 3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.09 (b) -2\/19 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 5360*t**3\/3 - 5992*t + 4970. Differentiate l(u) wrt u.\nAnswer: 10720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((5*sqrt(117) + sqrt(117))*6 + sqrt(117)))\/((sqrt(81) - -2*sqrt(81)*4) + sqrt(81)).\nAnswer: 37*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:05 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3032093, 6064168, 9096243, 12128318, 15160393, 18192468?\nAnswer: 21224543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 972.09 to the nearest integer.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 9) to base 14.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2228 in 5, -1, -8\/9, -22, -0.3, 0.3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 - 4*q**2 + 6*q - 2792. Suppose 2*l = 4*l - 4. Suppose 2*w - 2*u = l, -3 + 4 = -2*w + 3*u. Calculate h(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r - 171. Let q be f(-19). Suppose q = -5*m - 1 - 14, -m = 2*i - 209. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u + u)*(26*u - 12031*u**2 - 1480*u**2 - 1133*u**2 - 22*u - 4*u).\nAnswer: 29288*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 30*d**2 - 3*d - 2. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-2.47.\nAnswer: 59.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199 + 322. What is the remainder when b is divided by 92?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -3*q + 2*b, 3*b - 425 = -2*q - 108. What are the prime factors of q?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6)\/(w**(-2\/7)\/w))\/(w*w**6*w\/w**(-4\/3)) assuming w is positive.\nAnswer: w**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356028 is divided by 585?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(80)*-4 + -5)**2.\nAnswer: -640*sqrt(5) + 20505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/3834 and -61\/54?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b - 2*y = 38, 3*b + 28 = -2*y. Let i = 10 + b. Suppose f + 5*z = -4*f + 5, 5*f - 4*z - 32 = i. Solve f*w - 5*w - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474100 divided by -41235?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 + -21.54. Let l = 17 + n. Which is the smallest value? (a) -3.5 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919971 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 145619260 + 145618796 = 0 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9b846 (base 15) in base 13?\nAnswer: -1cb4aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25003\/71 - -352. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**3 - 17*p**2 - 11*p - 20. Let h(k) be the third derivative of k**6\/30 - k**5\/10 - k**4\/6 - 7*k**3\/6 + 16*k**2. Determine 17*h(a) - 6*u(a).\nAnswer: 2*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4353102 by -1014.\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let m(f) = 4*f**2 + 54*f. What is p(m(g))?\nAnswer: -12*g**2 - 162*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -60\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t + 57. Let g be h(-9). Solve s - 3*s = -w + 7, 13 = 2*s + g*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/6 - 3*p. Let h(f) = -3*f + 3*f - 2*f. What is h(z(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15302 (base 11) to base 15.\nAnswer: -6641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -u - 266. Suppose -2*a - 17*b + 1400 = -u*b, -1405 = -2*a + b. What are the prime factors of a?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a = 16. Suppose 4*s - a*s + 28 = 0. Solve -s = -4*n - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68793 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-12)*(-48)\/(-32). Let f(b) = 2*b - 8*b - 2*b**2 + b**2. What is the units digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 48. Let b be 3\/2*(-9 - -11). Suppose b*c - c = i. Let v(p) = p**3 - 7*p**2 + 5*p + 3. Calculate v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 487, 4 in ascending order.\nAnswer: 2, 4, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -f + 14. Solve 12 = -f*a + 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - l)*(-1709*l**2 + 1041*l**2 + 843*l**2 + (l**2 + l**2 - 4*l**2)*(0 - 5 + 3))*(-7*l - 3*l - l).\nAnswer: 3938*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2025 + -1036. List the prime factors of f.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10*u = 14*u + 140, 3*d - 55 = 3*u + 50 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/((-123)\/(-82))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-7542.\nAnswer: -22626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -4*v**2 + 0 + 1\/12*v**4 - 7\/6*v**3 + 48*v. Give r(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -38*z - 117. What is the tens digit of w(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407 (base 8) to base 16.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 463*m**2 + 6*m - 2. Let s(v) = 4*v - 23. Let n be s(6). Let c be h(n). Are 467 and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168151 - 57675746\/343. Find the common denominator of b and 34\/11.\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64455159 divided by -5.\nAnswer: 64455159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6455 and 3527012.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.655 + 8.345. Which is the fifth smallest value? (a) -2 (b) 0 (c) o (d) 2\/9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3119 - -3160. What is the remainder when 566 is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -27*p + 44. Let i(o) be the first derivative of 6*o**2 - 22*o - 105. Let g(x) = -7*i(x) - 3*k(x). Give g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 16*s**2 + 4*s + s**4 + 2*s**3 - 1 - 3*s**2 as g + v*s + h*s**4 + r*s**3 + j*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2133*w = 23867 - 148236 - 42005 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 2, d: 1, p: 1, l: 2, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929748517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 123828825 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 288 + -222. Let s be (-5 - 267915\/(-33))\/((-3)\/k). Round s to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184785*b*j**2 - 92529*j**2 wrt b?\nAnswer: -184785*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -113. Let n(q) = -q + 1. Let l be n(7). Let h be ((-6)\/(l\/x) + 202)*1210. Round h to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39689 and 23075.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (1*-3*sqrt(84) + sqrt(84) - sqrt(84)))\/(sqrt(132)\/sqrt(275)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 0, -1, 0.05 in increasing order.\nAnswer: -2, -1, 0, 0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*u**5 - 88893*u**3 - 5*u**2 - 9230*u + 18.\nAnswer: 2580*u**2 - 533358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v + 4. Factor -12*p + v*p + p**3 - p**3 - 4*p**2 + 2*p**3.\nAnswer: 2*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.262 + 3.712. Sort v, 0.3, -1\/2 in descending order.\nAnswer: v, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/57568 and 51\/31354?\nAnswer: 3511648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 211705375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 2*i, 3*i + i = -4*u. Suppose d = -u*d. Solve l - 2 = 0, d*p + 4*p - 4*l + 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/((-567)\/98))\/(2*2\/(-3))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2. Let u(x) be the third derivative of 7*x**5\/60 - 10*x**2. Calculate w(u(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24947294 divided by -12473647?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38014125 and 1335?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3082837*p - 57516527 wrt p?\nAnswer: -3082837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318 + -319. Suppose 3*a = 2*a + 5*f - 12, -3*a = -5*f + 16. Is a <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let k be (a - 19)\/(16\/(-120)). Suppose -41 = -l + 3*q, 2*l + q = 7*l - k. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 13681591?\nAnswer: 82089546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*l - 19, 98*l + 4*c = 95*l + 41. Solve 0 = 2*v + j - 0*j + 4, 0 = 5*v + j + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8890, 35972, 81304, 144880, 226694?\nAnswer: 326740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7454.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - c = 26, -4*y + 17 = 5*c + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-7))\/c**7)\/(c\/(c\/(c*c**(-19)*c))*c*c\/((c**15*c)\/c)) assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25028663?\nAnswer: 11, 2275333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149517 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58 + (27\/3)\/(-3). Let t(q) = 109*q - 54*q - z*q - q**2. Let d(g) = -22*g**2. Give d(t(k)).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 1. Let r(k) = -2*k**3 - k**2 + 3*k - 2. Give r(n) + 2*v(n).\nAnswer: -2*n**3 + n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from wwwwwwrrrwwrwwwwwwww?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-22))\/(12\/(-24)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 3, a: 2, j: 3, r: 1, z: 3}. Give prob of sequence jrv.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 28 = 2*m, m + x + 3*x - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 - 4*i - 6. Let j be (-6)\/4*288\/(-54). Suppose 24 = m - 3*m. Let r = j + m. What is o(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35137 (base 8) to base 16\nAnswer: -3a5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324043.\nAnswer: 37, 89839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185 + -180 + -6 + 1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 5, -2, -3 in decreasing order.\nAnswer: 42, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_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 w = -36.963 + 37. Let b = w + -0.017. Is 4 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -681*f + 732 wrt f?\nAnswer: -681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 2*s**4 - s**2 - 2*s + 3*s**2 - s in the form q*s + x*s**3 + d*s**4 + p + k*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -4*w**3\/3 + 93*w**2\/2 - 63*w. Does 16 divide d(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143\/(-2)*((-252)\/(-18) - 16) is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 8*v**2 - 11*v + 20. Let d be p(9). Sort 3, -4, 9, d.\nAnswer: -4, d, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 2*j**2 - j + 3. Let m be b(-2). What is the second biggest value in m, 4, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*p + 0*p + 18 = 0, 5*q = p + 8. Suppose -q*z + 12 - 4 = 0. Let i = -6\/7 + 4\/21. Sort i, z, -3 in decreasing order.\nAnswer: z, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*x - 439 - 402 = 0, 0 = -4*c - 4*x + 1168. Suppose 6*u + c = 13*u. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 177692040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from xwoboox.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 10*u**2 - 2*u. Let s be k(-5). Let h be (-4)\/(-10) - s\/25. Suppose -h*i + 5*x + 12 = -33, 2*x - 15 = -i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.789465+-0.71736\nAnswer: 0.072105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 - 57225*f + 57222 = 0. Calculate f.\nAnswer: 1, 19074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-2)\/6). Let b = v + 13. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -169 and -79.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2166008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920045537?\nAnswer: 307, 2996891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/(-2*sqrt(324)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 78. Find the third derivative of -r*a**4 - 460*a**3 - 18*a**2 + 460*a**3 wrt a.\nAnswer: -648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -78. Let s = 72 - k. What is the remainder when s is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15.4 greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518*58.\nAnswer: -88044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 64*j - 112*j. Let r(t) be the third derivative of t**5\/60 + t**4\/12 - t**3\/6 - 4*t**2. Let g be r(1). Solve g*x = -j*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5938*c + 5943*c - 11884*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1914376 divided by -18.\nAnswer: -957188\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 8*h**2 + 1. Let t be 16\/4 - 1 - -3 - (8 + 2). Let z(f) = 2*f**3 + 8*f**2 + 1. Determine t*z(a) + 5*l(a).\nAnswer: 2*a**3 + 8*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = 105. Suppose -3*k = i + 4*i - f, i = 0. 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 i = -2.62 - 12.68. Let j = i - -15. Let z be -2 - (-13)\/4 - 1. Which is the nearest to z? (a) -5 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/120 - w**5\/12 - 7*w**4\/24 + 3*w**3\/2 - 26*w**2. Calculate a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 105239 - 109355 - 5*a.\nAnswer: -2*a - 4116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/18 and 97\/186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -19*b**5\/5 - 27*b**2\/2 - 73*b - 164. Let r(s) be the first derivative of l(s). What is the derivative of r(a) wrt a?\nAnswer: -228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 71 - 72 = 4*z, -5*z = -2*n - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 14392608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = -6. Let z(l) = 21*l**2 + 3*l - 2. Let h be z(q). Calculate the remainder when h\/18 - (-16)\/(-72) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*c - 239*c - 555 = 179 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a45 (base 11) to base 15.\nAnswer: -7ced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191730026 divided by 2.\nAnswer: -95865013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3947, 7789, 11631, 15473?\nAnswer: 19315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 117 = 5*d, -g - d = g - 270. What are the prime factors of g?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63c (base 14) to base 15.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 - 5 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -147.\nAnswer: 19\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (165\/(-164175))\/((-19)\/2). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 126 (c) 5 (d) 17.71 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:40 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 1. Let n be u(3). Suppose 62 = 4*r - 2*m + 14, 8 = n*m. Factor -7*z - 3*z**2 + r*z + 4 + 5*z**2.\nAnswer: 2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d. Let l(h) = 8*h + 295. Calculate v(l(q)).\nAnswer: 48*q + 1770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15) + (10064\/(-2688) - (-2)\/7).\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 5, l: 4, p: 6}. What is prob of sequence cylp?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4*o + 12 = 0. Suppose 11*w + 30 = 7*w + 34*w. Which is the second smallest value? (a) 0.3 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 0*k - 2\/3*k**3 + 0*k**4 + 2 + 0*k**2 + 0*k**5 - 5\/6*k**6. What is the third derivative of l(t) wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = z - 4. Let k(j) = j + 9. Let m be k(z). Find the third derivative of 2*i**3 - 4*i**3 + m*i**2 + 3*i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 48.04. Let p = 47.7 - v. Let z = 0.1 + -0.5. Put z, 3\/2, p in increasing order.\nAnswer: z, p, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3279, 3057, 2463, 1311, -585, -3411, -7353?\n\"Answer: -31*w**3 - 5*w + 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18\/35 - -92\/315. Which is the second biggest value? (a) 4 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1, 6, 0, -1 in decreasing order.\nAnswer: 6, 1, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41387 and 0.5?\nAnswer: -20693.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/20 + u**4\/6 + u**3\/2 - 12*u**2. Give w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 10. Let p = 13 - 4. Let h be r(p). Suppose -y = -1 - h. Solve -f = y*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31365 and 5355?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**3*h**2 + 3637*d**3*h + 166158*d**2*h**2 - 4*d**2*h wrt d.\nAnswer: -78*h**2 + 21822*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-96 + 2)\/(1334\/29).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.07. Let x be 5 - -1 - 153\/34*(-120)\/(-81). Let y(j) = -2*j**3 + 2*j**2 - 2*j + 1. Let n be y(1). What is the nearest to n in x, w, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, -4122\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -81\nAnswer: -5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 26 + 536*x - 1 + 245*x - 37.\nAnswer: 781*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/2 - 285826915*s**2 + 1143307645*s\/2 - 285826910.\nAnswer: 5*(s - 114330764)*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 802.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.809 * 4.\nAnswer: -3.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50720 and 1095.\nAnswer: 11107680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 8. Let i be g(-7). Let d(j) = 7*j - 8*j + 6*j - 1 + 9*j - j. Give d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2827 + 2826.7. Which is the second smallest value? (a) -10 (b) 0 (c) 3\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396 (base 11) to base 10\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8 + 62. Suppose 18 = -4*j - f. Let n(q) = -q**2 - 8*q + 8. What is the smallest common multiple of n(j) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a70454 + -2?\nAnswer: 12a70452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 14250 + 25272 = 0. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580924 and 12236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3825 and 196164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*o - 5, 336*o - 341*o - 3*t + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:45 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = -3*r - 0*n, 0 = -5*r + 4*n - 26. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -16 - (70 - (-29 + (0 - -16)))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let d(r) = -r**2 - 2*r + 1. Let c = 392 - 392. Let w be d(c). What is the nearest to w in s, 4\/5, 2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.704767 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*z - t - 5145, 5*t + 6851 = 4*z. Suppose -2*n = -2*o - z, o + 1228 = 2*n - 488. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 2, 6, 3 in increasing order.\nAnswer: 2, 3, 6, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 12 - -13)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from iiiicojcf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urqmqrrarr. Give prob of picking 1 u and 2 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v - 11*v**3 + 49*v**3 - v + 38*v**2 wrt v?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 1 - g**2 + 0 - 2*g**2 + (0*g + g - 4*g)*(3*g - 3*g - g**3).\nAnswer: 5*g**4 - 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yyyzyyzzyyyzyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijii. What is prob of picking 2 i and 1 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17571854, 17571857, 17571862, 17571869, 17571878, 17571889?\nAnswer: 17571902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0 (c) 0.03184 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*a**2*k*q**3 - 54*a**2*k*q**2 + 5*a**2*q**2 - a*q**4 - 2*k*q wrt q?\nAnswer: -1632*a**2*k - 24*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/11125 and 2\/19625?\nAnswer: 1746625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:19 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1484\/210 + (-7 - 0))\/((-632)\/2370)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) 3\/2 (c) 9 (d) 0.01 (e) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13)*1 + sqrt(13))**2*-4 + 0 + sqrt(1872).\nAnswer: -208 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (66 - 20) + -23.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15096.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a factor of 3958875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 m, 1 p, and 1 t when four letters picked without replacement from {p: 1, e: 1, t: 2, m: 1, o: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1900) + sqrt(1900)*3 + 0)*2.\nAnswer: -8 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - z**4 + 4*z**4 + (380*z + 114*z - 198*z)*(3*z - 3*z + 12*z**3).\nAnswer: 3554*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277734 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 12*o**2 - 12*o + 33. Calculate the remainder when a(-13) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x - 214. Give p(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4778*h - 14286*h + 4792*h + 559 = -4759*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*w + 84*w + 23*w**3 - 323*w + 91*w + 80*w.\nAnswer: 23*w**3 + 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 6, q: 2}. Give prob of picking 2 q and 1 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33911109 divided by 3\nAnswer: -11303703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 - -2)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7307566 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -951767186521.\nAnswer: -951767186509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 20*a**2 - 44*a - 58. Give b(-22).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 126. Let q be t(-11). Let r = 169 - q. Put r, -36, -2, -3 in decreasing order.\nAnswer: r, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 36 = -0*g. What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 165*y**2 - 204*y - 177. What is u(40)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 633471257 to the power of 1\/2, to the nearest integer?\nAnswer: 25169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/96 - 3\/(-8))\/((-1025)\/(-22140))?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 - -147. Solve -20 = i*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111121 - -3030?\nAnswer: 120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.146? (a) 2 (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034651 rounded to seven dps?\nAnswer: -0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28478 and 5336.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35172 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose v*c = -c + 355. Is 30 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-627) + 0 + (-27)\/76?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 51*l**2 - 14*l - 14. Let x(f) = 29*f**2 - 8*f - 8. Let c(p) = 4*o(p) - 7*x(p). Let h(t) = -637*t. Give c(h(y)).\nAnswer: 405769*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18914 divided by 5?\nAnswer: -18914\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374235.\nAnswer: 3, 5, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -11*d**7\/105 - 2*d**5\/5 - 14*d**2. What is the third derivative of h(m) wrt m?\nAnswer: -528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 1) + (0 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and 5.23726?\nAnswer: 5.26726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, -1\/3, 0.24, 0.1, 0.3, 2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.09, 5, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - 10. Let h = v - -34. Suppose -h*j + 97 = r, r = -0*j - 5*j + 97. What are the prime factors of r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g - 11. Let j be k(9). Let s = 135 - -204. Suppose -s = -7*m - 94. Calculate the greatest common divisor of m and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/40, -5\/6, 5 in ascending order.\nAnswer: -5\/6, -1\/40, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1998246.2699971 + -1998247. Let t = -111 + 111.73. Let j = b + t. Round j to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*m**6 + 2*m**4 + 10*m**2 + 11 wrt m?\nAnswer: 9840*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -123641\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:34 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/9 (b) 2\/39 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 + 7507687*l**2 - 20099614*l.\nAnswer: -12*l + 15015374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 23 - 59. Suppose 0 = -2*s + s. Solve 0 = -d*o - 20, 4*o + 22 = w - s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 59*p - 27 = -54*p, -2*p = -9*q + 33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.427039572 to 2 dps.\nAnswer: -2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - a + 17 = r, 4*a - 53 = -3*r. Suppose -r + 71 = x. Let z = x - 33. Solve -4*l + 7 = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h**30*(h**(-3))**(18\/7) assuming h is positive.\nAnswer: h**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 21*q + 11*q**3 + 27*q + 37*q.\nAnswer: 11*q**3 + 43*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 61 - 1\/((-5)\/(-35)). Suppose -49*i + d*i = 635. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 5943914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117548 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*i - 286 + 286)*(8*i - 14*i - 8*i)*(0*i + 5*i - 3*i) + i**3 - 2*i**3 + 2*i**3 to p*i + g*i**3 + q*i**2 + t and give g.\nAnswer: 2521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81293 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -277811?\nAnswer: -277827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -10) + -5 + (-65)\/(-5). Is 29 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x - 22. Let r be (8 + -2)*8\/(-12). Give y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.303173 years to centuries.\nAnswer: 0.09303173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - 2*h + 3. Let r(a) = 4*a**3 - 3*a + 4. Suppose 0*y - 15 = -5*y. Let q(v) = y*o(v) - 2*r(v). Differentiate q(u) with respect to u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113336*l + 102 - 102.\nAnswer: 113336*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1084 and -27685.\nAnswer: 30010540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 9*c**2 - 8*c + 3. Let n be s(8). Let z be 3*4\/18*n. Calculate the remainder when 31 is divided by (z + -5)*(-51)\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 - 269 + 10*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - 85\/(-43)). Suppose 0 = -r - 3*w - 17, 0 = 2*r + 4*w + 163 - 141. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 289*z - 2023. What is c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001367 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -921, -1768, -2607, -3432, -4237, -5016, -5763, -6472?\n\"Answer: v**3 - 2*v**2 - 848*v - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, -8, -11 in decreasing order.\nAnswer: 3, 2, -1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114675.8 and 1.\nAnswer: 114675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324*s + 52*s - 70*s)*(5*s**2 - 4*s**2 - 3*s**2).\nAnswer: -612*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - 1.4. Suppose 3*d + 2 = -4*k + 3, -2*k - 3 = 5*d. Let g = 2.6 + -3. What is the nearest to d in p, g, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**2 + 0 - 1\/50*h**5 + 0*h**3 - 1\/30*h**4 - 5*h. Determine a so that s(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 11905. Suppose 0 = 5*i + 7004 + n. Let a = -15051\/8 - i. Find the common denominator of 3\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552903 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: Is 550667 at least as big as 550667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -82*v + 610. Let s be p(7). Let a be 9\/33 - s\/1584. Let a*n**3 + 11\/4*n + 3\/2*n**2 + 3\/2 = 0. What is n?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -20*g - 57. Let h be v(-3). Solve -h*x + 16 - 22 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4403234 and 1718.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1659\/18 + 4\/(-24). What is the highest common factor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2810636.\nAnswer: 2, 61, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 592252?\nAnswer: -1\/296126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - 195*f**4 - 769*f**3 - 957*f**2 - 382*f = 0.\nAnswer: -191, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042343 is divided by 521134?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 19*q - 32*q + 245952 = 0. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*m = 407*m + 34493. What are the prime factors of m?\nAnswer: 17, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 33. Which is the nearest to s? (a) -1\/4 (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.9 - -4.9. What is the closest to -0.11 in z, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5111 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 14) in base 15?\nAnswer: 2ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3*r**5\/20 - r**4\/12 + 7*r**3\/6 - 2*r**2 - r + 4. What is the units digit of w(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-148)\/3 + 4\/(-6). Let r = i - -241\/5. What is the closest to r in 1\/4, 3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1403 - 858?\nAnswer: -1c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -290*k + 267*k. Solve -3*y = -3*d + y + 15, -3*d = -k*y - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -331 - -28365?\nAnswer: 28034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 + 1*(-2 - 0). Let y(n) = 5*n + 1. Let r be y(-3). Let i = r - z. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 338\/(-31) + 16\/48*-3*-11?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253686 - -253681. Let f be 2*2\/4*2. Let a be f + 0\/1 - -1. Sort 5, a, d in ascending order.\nAnswer: d, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59364223.3501 and 14.3.\nAnswer: -59364209.0501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -26. What is the units digit of (q*23)\/(7 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -131, -158, -209, -290, -407, -566, -773, -1034?\n\"Answer: -f**3 - 6*f**2 - 2*f - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**4\/24 - h**3\/6 + 2*h**2. What is the least common multiple of 8 and o(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 589*m**2 - 1181*m - 2. Let c be f(2). Solve c = -9*q + 1607 - 1616 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 10. Let h(f) = -8*f - q + 7. Let o(y) = -7*y. Suppose 2*j + 11 = 3*s - 4, 5*j + 2*s = -28. Give j*h(n) + 7*o(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167273, -167223, -167143, -167033?\nAnswer: -166893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 721 = 5*n - 0*w, -2*n = -2*w - 298. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 + w - 1. Let j(r) = 4*r**3 + 5*r**2 + 4*r. Let s(b) = j(b) - 5*y(b). Let c(p) = -3*p**2 + 106*p + 72. Let m be c(36). Calculate s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 12762*u - 166244.\nAnswer: 2*(u - 6394)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 114?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 6 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 293148284.00919 + -293146213. Let r = -2071 + l. Round r to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 9 + 13 + -1 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwvw. What is prob of sequence vw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -242372*r**6 + 87*r**2 + 17.\nAnswer: -29084640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.2 - 22. Which is smaller: f or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*o + 100*o + 58*o**4 + 82*o + 260*o**2 + 5*o**5 + 190*o**3 - 3*o**4 - 31*o.\nAnswer: 5*o*(o + 1)*(o + 2)**2*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12539321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1 - 0. Let p = 4.303 - 4.203. Which is the closest to p? (a) s (b) 3\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(304) + 3*sqrt(304) + -1 - (-6*(sqrt(1216) + -1) + -1*sqrt(1216)*-1).\nAnswer: -3 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34*3\/(-12))\/(3\/(-72)). Let x = 211 - p. Let s(k) = -k**2 + 8*k - 3. Calculate s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 0*n + 1 + 11*n - 14*n. Determine z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 44*v - 221. Let y be z(5). Let p be (0 - 2 - -2) + -44. Let f be (-1)\/(-4) + 3\/p. Are f and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 5*z - 7. Suppose s - 40 = -4*s. Let n be ((-6)\/(-10))\/(s\/40). Find the common denominator of q(n) and 22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2570b + 36?\nAnswer: 25744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 62\/5, -3\/2, 605 in decreasing order.\nAnswer: 605, 62\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 534*p**2 + 4*p - 4*p + 977*p**2 to the form n*p**2 + s*p + m*p**3 + q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -36, -110, -248, -468, -788, -1226, -1800?\nAnswer: -2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3591.46 times -0.024\nAnswer: -86.19504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16.47 * 4.7\nAnswer: 77.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620 by -39962.\nAnswer: 310\/19981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 1. Let l be 3 + 3 - 4\/(-2). Suppose -4*v = 2*k + 14, 0 = -3*k - v + 2 - l. Determine d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846584023 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 747372 divided by 2?\nAnswer: 373686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.7 + -22. Let s = u + -3.5. What is the second biggest value in 0.3, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5733 and -17\/364?\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 2, r: 1, j: 2}. Give prob of sequence mvrm.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -5.3 (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from mmquqms.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/8 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3639000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412240?\nAnswer: 2, 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y*y**(-1)*y))*y)\/y)**49*y**(5\/4)*y*y\/y**5)**(11\/7) assuming y is positive.\nAnswer: y**(605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -t + 2*y, -8*y + 4*y = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(201365\/(-67125) + 3). Let r = 82339\/4475 + h. Which is smaller: 18 or r?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/(l\/l**(6\/5)))\/(l**1\/((l**(-5)*l)\/l*l)))\/((l**0)**4\/((l**(-5\/4)*l)\/(l*l*(l**(-2\/21)*l)\/l))) assuming l is positive.\nAnswer: l**(-704\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1915*t. Let b(a) be the third derivative of -a**4\/6 + 117*a**2 + 20*a + 1. Give b(i(p)).\nAnswer: 7660*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213.4 - 213. What is the third biggest value in d, 1\/4, 5\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 3*c - 6*c. Let l be 2*(-2)\/(4\/(-10)). Let v be (-90)\/3*(-4)\/l. Calculate the highest common divisor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than or equal to 132225\/2491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 6*p + 96. Let b = 29 + p. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 16435*v**2 + v - 16435.\nAnswer: -(v - 16435)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**2 - 8*c - 3. Give b(-4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 11*i - 57. Let h be q(-15). Solve -10 = 13*o + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2\/3 (c) 3 (d) -8.29 (e) 2 (f) -151 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/24633 and -13\/2142?\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 29, -4 in ascending order.\nAnswer: -4, 2, 15, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o + 5. Suppose -2*m + 28 - 4 = 5*v, -4*m + v = -4. Let b be -4*m\/52 - (-152)\/(-26). Is 19 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -15034425\/124 - -121246. Calculate the common denominator of s and 21\/16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40799292 to the nearest integer?\nAnswer: 6387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4759*p**3 + 0 - 9066*p**3 + 0.\nAnswer: -13825*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 711 - 581 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 10604*w + 458832.\nAnswer: 4*(w - 2607)*(w - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6321 and 86.\nAnswer: 12642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - -18) + 1\/1. Suppose 4*q = s*r + 397, -4*q + 117 = 4*r - 315. List the prime factors of q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**6 + 30359151*r**3 + 379736772*r**2?\nAnswer: -120*r**3 + 182154906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601064 divided by 8.\nAnswer: 75133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 - 130*t**2 + 272*t - 9471. What is i(43)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let x(z) = 2*z**2. Determine l(x(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 4*v - 5*v)*(2 + 3 - 1)*(2 - 2 + 2*v) in the form b + i*v + q*v**2 and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 68*n. Let j be x(2). Let s(r) = r + 13. Let y be s(4). What is the highest common factor of y and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92015, 182466, 272917?\nAnswer: 363368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 8. Suppose 0*p = p + s. Let o = -1 - p. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*v - 72*v + 28. Put 6, -2, v, 3 in decreasing order.\nAnswer: 6, v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 367.8.\nAnswer: -735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 25*n**2 - 60*n - 42. Let r = 726 + -752. What is the units digit of t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 30. Let l = u - 21.1. Sort -2, -1, l in descending order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2549 + 3821. Calculate the remainder when 8910 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(2) + (sqrt(2) - sqrt(18)*-5) + sqrt(2) + sqrt(20)\/(sqrt(10) + sqrt(360)*-2)).\nAnswer: -15 + 985*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 1\/4*d**4 - 3\/8*d**2 - 5*d + 3 + 3\/8*d**3. Let j(m) be the first derivative of b(m). Factor j(i).\nAnswer: 3*(i + 1)*(4*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1074498.\nAnswer: -1\/358166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9798 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) -2\/5 (b) -269 (c) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 917\/6 - (-2)\/12. Suppose q = h + 21. Suppose 3*u - 2*l - 44 = 0, -u - 3*l = -0*l. Calculate the highest common divisor of u and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198140528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*t + z - 100, 4*z - 67123 + 67108 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*w = -297*w - 95 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 966.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986, -1002, -1028, -1064, -1110, -1166?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 45. Let d = -84 + c. Differentiate -6*k**d + 3*k**2 - 54 + 37 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-11 - 27 - 96)*(3 - 3 - p**2) - 6 - 2*p**2 + 6.\nAnswer: 266*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79224*b**3*j**3 + 28*b**2 + 32*b*j**3 - b*j**2 + 13996*b*j + 3*j**2 wrt b?\nAnswer: 475344*b*j**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -459.713?\nAnswer: 459.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10111100?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 7:43 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -338?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 j when four letters picked without replacement from {q: 1, z: 1, f: 7, b: 2, j: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*c**2 + 3*c + 3*c - 5 + c**4 + 216*c**2 - 424*c**2 - 6*c**3.\nAnswer: (c - 5)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5282 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.881 and 6.6.\nAnswer: 10.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*j + 15, -259 = -2*j - 5*c - 290 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 2*o - 348 = 3*l, -254 = -3*l + 2*o. Suppose 5*h + 3*z - z - l = 0, 0 = 3*h + 4*z - 46. Suppose -4*d + 30 + h = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-507)\/117)\/((-2)\/6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356*m + 310*m - 809*m - 36.\nAnswer: -1855*m - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/453 - -899\/3171. Which is the closest to r? (a) 737 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356\/(-267)*(-231)\/(-14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/34116 and -45\/45488.\nAnswer: 136464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 2*a**2 - a. Suppose -u = o - 0 - 3, 5*o - 3*u = 55. Suppose 3*x = 2 - o. What is s(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 11*w + 12 = -f, -f + 15 = -5*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2078 (base 10) to base 14\nAnswer: a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let p = -3.8 + -0.2. What is the closest to 1 in h, 5, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-3)*(114\/360 - (-4)\/(-60))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.120932ml to litres.\nAnswer: 0.009120932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9744116, 9744131, 9744146, 9744161, 9744176, 9744191?\nAnswer: 9744206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -1248, -2812, -5002?\nAnswer: -7818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*m - 99735, 4*s = -m - m + 79786. Suppose -4*k + 0*i = 4*i - 15964, 2*i = -5*k + s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = -0*b. Find the third derivative of -49*l + 49*l - 5*l**4 - 2*l**b wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 3770.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2\/u*u)**(1\/28))**(-33)*(u**2*u)**20\/(u*u**(2\/3)*u\/(u**2*u*u)) assuming u is positive.\nAnswer: u**(4855\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1185\/2548?\nAnswer: 1185\/2548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 13. Suppose -12*s + q*s = 18. List the prime factors of (-444)\/s + (-6)\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7169 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 502 - 218 = 0. Let m = 240 + c. Put 4, m, -55 in descending order.\nAnswer: 4, m, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -15, -4*z + c - 31 = -4*c. Let y = z - -6. Solve 3*d = -11*h + 6*h, y*h - 11 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -204. What is the third derivative of -2*s**2 + b*s**4 + s**2 - s**2 - 89*s**4 wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p - 126. Let d be h(17). Let l be (18\/(-24))\/(d\/(-12)). Let -l*m**2 - 2\/3*m - 1\/3 = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2*(-5 + 6)\/1. Suppose 10*y - 2*y - 800 = b. What is the remainder when y is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312522, -1250062, -2812638, -5000256, -7812922?\nAnswer: -11250642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(672)*3)\/(-5*((sqrt(6)*-2 + sqrt(6))*4 + sqrt(6) + sqrt(18)\/sqrt(3)*4)).\nAnswer: 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9192*j - 9204. Give c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.13? (a) 79 (b) 0.1 (c) 0 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/26 + 4*q**3\/13 + 9*q**2\/13 + 17. Factor p(d).\nAnswer: 2*d*(d + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992344651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160886)\/20394 - (0 - -16)\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6738*o**2 + 110392*o wrt o.\nAnswer: 13476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 646 - 314. Let v = 322 - l. Sort -1, 2, v in descending order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12067, -12019, -11971, -11923, -11875?\n\"Answer: 48*r - 12115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 11200*k**2 + 22394*k - 11196.\nAnswer: 2*(k - 5598)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3963648 by 4764.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*g + 16 = 0, 5*g = -a - 3*a + 32. Suppose -2*x = -12 - a. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 20 + 0 - 16)*(-3*h + h - 3*h) to the form g + m*h and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4814, -5389, -5952, -6497, -7018, -7509?\n\"Answer: y**3 - 582*y - 4233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348044362 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 208859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:19 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -9, 103, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443, -5361, -11891, -21033, -32787, -47153, -64131?\nAnswer: -83721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 - 8*r + 561 - 8*r + 2*r + 9*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -522 + 522. Suppose 0 = 4*z - 0*z - 92. Let j(c) = -c - 5*c**3 + 3*c**3 + z + 3*c**3 + 0*c**3. What is j(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.127 * -0.05\nAnswer: 0.00635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w. Let i(s) = 5036*s. Determine i(z(l)).\nAnswer: 80576*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 + 8*b + 13. Determine y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -51. Suppose b*h - 410 + 134 = 0. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158 and 1158.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3017.7657 - 3017. Let a = -0.716 + p. Round a to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2612*j**2 - 6*j**3 - 2680*j**2 + 5292*j**2.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 12. Let d = 11 - f. Let n = 55 + -383\/7. Which is the biggest value? (a) n (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 14*n**2 + 2. Let c be v(14). Find the third derivative of -2*m**4 - 5*m**2 - 5*m**4 + 2*m**2 - 3*m**c wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5037956113?\nAnswer: 1319, 3819527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*t**3 - 8*t**2 - 36009*t + 103?\nAnswer: -522*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73\/2 + -661\/18. Let p = 272 - 272.3. Which is the second biggest value? (a) p (b) n (c) -0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9623.97 + -9580. Let m = -0.97 + z. Let l = m + -42.9954. What is l rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**8\/6720 + f**7\/504 + f**4\/8 + 11*f**3\/6 + 88*f**2. Let i(p) be the second derivative of y(p). What is i(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3121 is divided by 3120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/((-2)\/(-10))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111110101111011111 (base 2) in base 3?\nAnswer: -1222000022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 400009112 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383138*l*u**4 + 5*l + u**2 - 1021 wrt u?\nAnswer: 9195312*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166852*p**2 - 137902*p wrt p?\nAnswer: 333704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -292125.5584 rounded to the nearest 1000?\nAnswer: -292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121211122202 (base 3) in base 13?\nAnswer: -2429ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297554 - 97*z + 297554 + 97*z + 18*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112600347 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -262287.75 rounded to the nearest 100?\nAnswer: -262300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.985 - -1. Let i = o - 0.05. Round i to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 6*y - 79 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1\/3 + 0. Let u = 283\/2 + -139. What is the third biggest value in u, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 271.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1544, -2110, -2610, -3044, -3412, -3714, -3950?\n\"Answer: 33*g**2 - 665*g - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 100. Let o be d(16). Find the second derivative of -510*y**2 + 11*y + 511*y**2 + 7*y**o + 3*y**4 wrt y.\nAnswer: 120*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 79*d + 19. Let n(b) = b**2 + 237*b + 66. Let g(q) = -3*n(q) + 8*o(q). Determine g(-26).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 37*b**2 + 18*b - 1. Let s be q(18). Let h = 8.45 - 0.45. Put h, 0, 5, s in increasing order.\nAnswer: s, 0, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 472*n**5 - 666*n?\nAnswer: 9440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.93 - 0.53. Which is the fourth smallest value? (a) -4 (b) -0.01 (c) m (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/9)*c*c**(-2\/17)*c**(-1\/11)\/(c**3*c))**(-50) assuming c is positive.\nAnswer: c**(148450\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a - 55?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyooooyyoyoooooooyoo. What is prob of picking 2 y and 1 o?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1141?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5 + 7 + 6*d + d - 1. Let u be v(9). Let r = u - 41. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6393835 to the nearest integer?\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4998998 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9*h = -8*h + 5, -6 = 2*m + 2*h. Put m, 78, 5 in ascending order.\nAnswer: m, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113988, -3, -0.5, -13\/2 in descending order.\nAnswer: -0.5, -3, -13\/2, -113988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(-103*92\/(-255852)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7686678239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 + 968\/7. Let d = -222 + 231. Let q(y) = -53*y + 476. Let z be q(d). Sort 0.44, z, r in ascending order.\nAnswer: z, r, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*b - 5*i + 32, 2*b - 5*i + 12 = 0. Calculate the greatest common factor of 96 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147611965 to the nearest integer?\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -5a5?\nAnswer: -5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7523 + -2594302319.\nAnswer: -2594294796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11230*d**3*u - 90*d**2*u**3 + 7*u**3 + 2967*u**2 + 66*u wrt d.\nAnswer: -33690*d**2*u - 180*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 10*j**2 + 8*j - 22. What is z(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f**2 - 1. Calculate u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f - 11. Let h = 0 - 3. Let s be (2 + 0)\/1 - h. Suppose 0 = -m - 8 - s. Let g(u) = -7*u - 5. Calculate m*g(d) + 6*k(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 5*q + 1. Let m(o) be the second derivative of -o**4\/4 + o**3 - 2*o - 3557. Give -3*m(x) - 4*n(x).\nAnswer: x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -40, 4, 0.07 in decreasing order.\nAnswer: 4, 1\/7, 0.07, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*o - 16 = 112*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 10.7. Let l = z + -48.2. What is the third biggest value in -5, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 - 2*i - 3. Suppose 3*m + 5 = 2*m. Let n be u(m). Let r = -3 + n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = h - 5*h - 12, -39 = -4*x - 5*h. Calculate the highest common divisor of 15 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.86 - 25.14. Let i = -25.999892 - j. Round i to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 3*v - 3. Let f(n) = -n**2 + 8*n - 6. Calculate the lowest common multiple of f(7) and h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(5700) - (sqrt(5700) - (sqrt(5700) - sqrt(5700)*-1)))\/(2*sqrt(108)))**2.\nAnswer: -20*sqrt(19)\/3 + 511\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m**2 - 3*m**3 + 11*m**3 + 17*m + 3*m**3 - m**4 - 5*m - 14*m as n*m**3 + a + u*m**4 + b*m + j*m**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**2 + 9*y**2 + 6*y**2 + (0 + 0 + 2*y)*(y - y - 2*y) - 3*y**2 + 7*y**2 + 0*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157763885.\nAnswer: 5, 1181, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 6*f + 4. Let o be c(5). Suppose 3*d = 4*v + 1 + 37, -v - 11 = -d. Is 12 a factor of (4\/d)\/((-7)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g + 11 - 95. Let u be (g + -2)*-1*63\/(-90). Let v - 23\/4*v**2 - u*v**3 + 5\/2*v**5 + 1 + 19\/4*v**4 = 0. Calculate v.\nAnswer: -2, -1, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -177. Let d(t) = t**3 + 5*t**2 + 2*t - 1. Let c be d(-3). Calculate the greatest common divisor of r and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34037099821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10002011?\nAnswer: 10002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:28 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.1856+-0.3\nAnswer: -1.4856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -740 - -5181\/7. Let z = -1.5 + 2. Sort 1, z, q, 5 in decreasing order.\nAnswer: 5, 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275058*k*m**2 + 5*k*m + 6*m**2 - 342633*m wrt m?\nAnswer: 550116*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442574593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmccjjcmjcccc. What is prob of picking 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2170 and -39\/2634514?\nAnswer: 2858447690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-2 - -1) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 179*t**7\/42 - 49*t**3\/6 - 84*t + 2. Find the second derivative of g(b) wrt b.\nAnswer: 3580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(605) - -3*sqrt(605)) + -2 + sqrt(605) + sqrt(605))**2 + -3*(-5 + (sqrt(605) - (5 + (-1 + sqrt(605))**2)) + sqrt(605)).\nAnswer: -85336 + 1980*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u. Let j = 92 - 89. Solve -5*x + j + 2 = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + (-204300045)\/18*-4. Round u to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -19659 (c) -4 (d) -28\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 16*f**2 + 11*f - 140. Let n be s(16). Solve 38*q - 10 = n*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8075 and 649400?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -32. Let t(y) = 3*y**2 - 7*y + 1. List the prime factors of t(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722 by -2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*r - 1349*r + 675*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.547 in -2\/9, 0.4, 1\/5, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*h*o*w + 3*h*o - 10892*h*w**2 - h*w + 2*o*w**2 wrt w.\nAnswer: -21784*h + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 82 (b) -315 (c) -2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930*m**2 - 2*m - 39.\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 52*a + 25. What is the tens digit of v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/84)\/((-10)\/(-18))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 8*v + 16*v**2)*(-6 + 6 + 4*v**2 + 3*v**2 - 6*v**2 + 2*v**2 + (3*v**2 + 0*v + 0*v)*(2 + 0 - 1))*(0*v + 2*v - 3 + 4).\nAnswer: 192*v**5 + 96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a**3 + 4*a**3 - 4*a**3 + (0 - 55 - 32)*(a**3 - 5*a**3 + 6*a**3).\nAnswer: -173*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1. Let g = -2162 - -2162. Which is the closest to g? (a) m (b) -1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-1 + (-16)\/(-18)). Suppose 2*z + 2 = -k, -7*z + k = -5*z - 6. Which is the biggest value? (a) -0.5 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/3 + -1 + 3. Let f(o) = -11*o. Let u be f(a). Let d = u + 20. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/4 - 123127*d**2\/4 - 523228*d - 1292655 = 0.\nAnswer: -123110, -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 34 = -5*k - 0*k, 3*m = 2*k - 1. Suppose 0 = -3*n - 7*n - 4*n - 70. Let l(p) = -6*p + 5 + 2 - 4. Let g(t) = -3*t + 2. Give m*l(d) + n*g(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**3 + 2*d**3 + 292 + 9*d - 328 with respect to d.\nAnswer: -6*d**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 3, 357, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:05 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67 + 2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/15, 2, -1302?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1\/18, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -5*o**2\/2 - 2*o + 2. Suppose -2*z + 3 = -1. Determine w(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26299049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l*l\/(l\/l**0)))\/l*l)**(-27)*(l**(-1\/11)\/l)\/((l\/(l*l\/l**(-1\/8)))\/l))\/(l**(2\/5)\/(l\/(((l*l**(1\/2)*l)\/l)\/l)))**(-9\/2) assuming l is positive.\nAnswer: l**(-11623\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 28. Let d be s*6\/10 + 6\/(-15). Calculate the greatest common factor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:20 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*x - 939 = -213*x - 40 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (((-2880)\/(-99))\/10 - 1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132886931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185461097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z - 18513 = 117*z - 39*z + 15*z for z.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -39?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16501*k + 14 = t - 16502*k, 4*t - 5*k - 69 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 + -490. Let s be (-10)\/(-3)*p\/(-13). Let q be (-2)\/(-4) - 3\/(-2). Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*u - 1299, -19*u + 15*u - 5268 = -4*x. What is the greatest common divisor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Suppose 3*u = 5*q - 1, 0 = 15*u - 12*u - 4*q + 8. Calculate w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:34 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*m + 50*m + 43*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 153b6 + 2d3?\nAnswer: 156a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/2, 2\/5, -1.1, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i - 30*i + 42560. What is the lowest common multiple of i and 76?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 - 5*a**3\/3 + 5*a**2\/2 - 7*a - 1. Let q be r(-6). Let w = -11 - -7. Sort q, 4, w.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4751 = -3*o, 12313 = 5*n + 2*o - 11459. Let d = 56963\/12 - n. Calculate the common denominator of -10\/33 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59748976*m**2 + 85189664 wrt m?\nAnswer: 119497952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.23 + 57.3. Let t = 0.07 - o. Let s = 2013 + -2013.1. Which is the smallest value? (a) s (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 3 + 0 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3))\/h*(h\/(h*h*h**(1\/4)*h))\/h*(h*h**(-2\/5)*h)**(-31\/5))**(2\/111) assuming h is positive.\nAnswer: h**(-339\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94956 + -198173178\/2087. Let p = -292162\/6261 + k. Let l = -47 - p. What is the nearest to l in -1, -4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 114*q**2 - 75*q + 324. Let l(w) = 38*w**2 - 25*w + 108. Let x(i) = 7*l(i) - 2*u(i). List the prime factors of x(4).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3990807 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(825\/6)*(-20)\/4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4398, 4426, 4472, 4536, 4618, 4718, 4836?\n\"Answer: 9*k**2 + k + 4388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 + -218. Calculate the remainder when -12*o\/4*23 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 84 = 0. Let t = u + -40. Let k be (-6)\/15*-5 + -1*t. Let a(q) = q + 5. Calculate a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13708, -13695, -13672, -13639, -13596, -13543?\n\"Answer: 5*u**2 - 2*u - 13711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 649*h. Let k(q) = -28*q**2 - 4*q. What is n(k(a))?\nAnswer: -18172*a**2 - 2596*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.8336.\nAnswer: -0.66688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200800 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 26*q**2 - 285*q - 35. Give s(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12032, -96165, -324526, -769229, -1502388, -2596117, -4122530?\n\"Answer: -12019*m**3 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 8*a + 12. Let q be x(9). Suppose q*h - 17 = 5*k, -5*k + 7*h - 2*h - 15 = 0. Sort -3, -36, k.\nAnswer: -36, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1701 + 3287. What are the prime factors of m?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 72, -3.711, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -7. Suppose 5*f - 5*y = 4460, -171*y + 3583 = 4*f - 172*y. Suppose l*w = -231 + f. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011646 to 5 dps.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68737628 - 68737684.000129. Let z = 179 - 123. Let t = j + z. Round t to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 2\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 203?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2787 - -2791. Factor 0*j + j**2 + 2\/3*j**o + 7\/3*j**3 + 0.\nAnswer: j**2*(j + 3)*(2*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(684) + (-1 + sqrt(684) - sqrt(684)) + -2 + sqrt(684))*2)**2*-3 + -4 + 2)*-5.\nAnswer: -4320*sqrt(19) + 164710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, -1.1, 2, -1.\nAnswer: -1.1, -1, -1\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 - 3*x - 17. Let t(c) = -3*c**3 + 19*c**2 - 11*c - 53. What is 4*t(p) - 13*u(p)?\nAnswer: p**3 - 2*p**2 - 5*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 21 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*d - 33 = 75*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-40))\/(3\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12584 + -12579. Which is the closest to 0? (a) t (b) 123 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2 - 21*o**2 - 302 - 16*o**3 + 20*o**2 + 230*o**3 wrt o?\nAnswer: 642*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078.084 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18286 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + s = 3*o - 25, -3*s = 5*o - 5. Let k = 6284\/3 - 2148. Let m = k - -54. Put m, -5, o in descending order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3664, 7298, 10920, 14524, 18104, 21654, 25168?\n\"Answer: -d**3 + 3641*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1784192*v**2 - 2436305*v wrt v?\nAnswer: -3568384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -217.327.\nAnswer: -325.9905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4254080 is divided by 425367.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 1703663?\nAnswer: 1703622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/8)\/((p*p**5)\/p*p))\/((p*p*p**(-1\/3))\/(p*p**(-1\/3)\/p)))\/(p**(-2\/11)*p*p**(1\/4)\/p*p**(-3)*p**5*p) assuming p is positive.\nAnswer: p**(-985\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = q - 4*g, 4*q = 4*g + 15 + 13. Let y(s) = -s**3 + 3*s**2 - 3*s + 2. Let t be y(2). Let k = 2 + -2. What is the closest to t in -5, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1472044*i. Let n(k) = -k**2. Determine n(z(b)).\nAnswer: -2166913537936*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 - 4*y**2 + 4*y - 2. Let d be c(-4). Let v = d - 117. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and 109.\nAnswer: -31.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -60*g**4 + 120*g**3 - 35*g**2 - 85*g + 25. Let u(n) = -5*n**4 + 10*n**3 - 3*n**2 - 7*n + 2. Let c(x) = 3*a(x) - 35*u(x). Factor c(o).\nAnswer: -5*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95560842 and 13338?\nAnswer: 860047578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 3*g - 1. Let c(o) = 6*o**2 - 10*o - 3. Calculate -4*c(l) + 14*n(l).\nAnswer: 4*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 14 - 32 - 426*b.\nAnswer: -426*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10176*n**4 + 3*n**3 + n**2 + 2*n - 1009609 with respect to n.\nAnswer: 40704*n**3 + 9*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30808950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i**3 - 3*i**2 + 3*i + 29. Let o(j) = -19*j**3 + 4*j**2 - 4*j - 29. Let t(b) = 3*o(b) + 4*q(b). Differentiate t(v) wrt v.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.22, -0.4, 4\/3, -6 in descending order.\nAnswer: 19.22, 4\/3, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-192 - 150 + 37)*(-1 + 1 - r) in the form x*r + s and give x.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3) + 7\/(35\/(-120)). Let t = q - -205. Is 48 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73.2 + -83. Let c = -0.26 + -9.74. Let t = c - v. Are 3\/2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u + 5. What is the tens digit of n(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + 5 + 4 + sqrt(1100) + sqrt(1100)) + 4)**2.\nAnswer: 120*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46018 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*y + 72, v - 26 = -y + 10. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + y + 7, 4*y - 6 = 6*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-1 + 2 + 1)*(12*y - 7*y + y)*(-2*y**2 + 0*y**2 + 3*y**2).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 3*q + 9. Let v be j(4). Suppose -v*o = -2*p - 63, 2*o = p + 3*p + 22. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(99) - sqrt(99))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6120004930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-16\/9)*r)**(3\/26) assuming r is positive.\nAnswer: r**(17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrkkkkrkkkr. Give prob of picking 1 r and 1 k.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + (-14 - 650\/(-39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6412 divided by 4\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2)\/((-2)\/(-4)). Let p be ((-96)\/(-88))\/(4\/22). Find the second derivative of 4*g**4 + 6*g**4 + p*g - z*g wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-318)\/(-8))\/((4725\/(-8400))\/(3 + 54\/(-12))).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*v - 525 = -106*v + 101*v. Put 0.1, v, -2\/9, 185, 5 in increasing order.\nAnswer: -2\/9, 0.1, v, 5, 185","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 - 971*y + 971*y.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((3204\/54)\/(-89))\/(2\/(-33))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let l(z) = -7*z. Let x(v) = -20*v. Let k(m) = 17*l(m) - 6*x(m). Let t = 118 - 121. Calculate t*k(h) + 2*i(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -6 - 1) + (-11 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 201312.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*f + 132*f + 284 - 284 + 65*f.\nAnswer: 270*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -85. Solve -d + 4*d = -m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17121 is divided by 2007?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -m, 4*c = -8*m + 24 + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 74*q**2 + 65*q - 10. Let r be j(10). Suppose -7*l = -22*l + r. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 103*l + 91. Let c(a) = -a - 4. Let t(k) = 5*c(k) - s(k). Let r(i) = i - 2. Let v(q) = -6*r(q) + t(q). What is the first derivative of v(n) wrt n?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajuqqagljljl. What is prob of picking 1 q and 1 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 410.371cm?\nAnswer: 4103710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**16)\/(g**(-18\/5)\/g*g) assuming g is positive.\nAnswer: g**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 5*i**4 + 7*i**4 - 3*i**4 - i**2 - 2*i**3 in the form p*i**4 + q*i**2 + v + n*i + b*i**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-334)\/(-18) - (0 + 19). Sort -0.4, 0.5, m, 3\/2, -0.02 in increasing order.\nAnswer: m, -0.4, -0.02, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z + 20 = 0. Let t = z + 14. Suppose 5*y - 9 = 4*i, -4*y - t = -5*i - 2*y. Solve d + 10 = -i*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/3*1*1. Let m(f) = -f**2 - 4*f. Let b be m(o). Is b < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -608 + 2331\/4. Let m(u) = -67*u**3 + u**2 - u + 1. Let o be m(6). Let r = o + 548851\/38. What is the common denominator of z and r?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1814 - -3073. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 4. Let w be (-5)\/(-2) + 1\/z. Suppose 0 = -w*v + 6 + 18. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -718 and -0.53.\nAnswer: 380.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 - 0.5. Let j = -12 - k. Let h = -1.58 - j. What is h rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2810)\/(-112) + 1 + -4. Let j = -152\/7 + z. Which is the nearest to 0.1? (a) 2\/7 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 384a + -3?\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = j + 629. What is the remainder when j is divided by 9 + -11 + (1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76))**2 - sqrt(76))*-5 + 0 - ((sqrt(190) + sqrt(190)*1)*-1)\/(sqrt(70)\/(sqrt(7) + (sqrt(28)\/sqrt(4) - sqrt(7)))).\nAnswer: -380 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {k: 2, t: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -27*l + 1. Let u be p(1). Suppose -3*k - w = -87, k + 3*w + 7 - 28 = 0. Let f be u\/195 + 604\/k. Solve m + 4*y = 4*m - f, -y - 5 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223147 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 + 5. Let n(d) = 11*d**2 + 6. Let m(t) = 5*n(t) - 6*u(t). Let s(k) = 42*k - 2. Give m(s(y)).\nAnswer: 1764*y**2 - 168*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 73\/3 (b) 1\/2 (c) -0.3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3599*r**3 - 2*r**2 - 4*r - 13?\nAnswer: -21594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 2*j + 660. What is the least common multiple of j and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 - 5*j**2\/2 + j. Let l be w(0). Which is the closest to -1? (a) -0.3 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 142499 in decreasing order.\nAnswer: 142499, 15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3941 - -3944. Solve -a*d + 3 = 2*c, 7*c = 5*c + 2*d - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 16*u + 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglovlogooggg. What is prob of sequence ogl?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 187.99999754. What is v rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 10. Let b = -887 - -892. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by ((-3)\/(-3))\/(66\/2607*2\/4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2293\/8655 - 1\/577. Let p = 7\/30 - m. Let i be (1*(-9)\/6)\/3. Which is the nearest to 1\/2? (a) i (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**4\/24 + 2*x**2. Suppose 3*b = -0*b. Let g be a(b). Round g to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50\/11*w + 250\/11 - 10\/11*w**2 - 2\/11*w**3 = 0. What is w?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2057)*-5*1.\nAnswer: 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/728980 and 83\/328041.\nAnswer: 6560820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in 0.3, -5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29928440 * 0.4.\nAnswer: 11971376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 1 - 1)*(2*p - 2 + 2 + (-2 + 2 + 2)*(p + 1 - 1) - p + 3*p - 4*p + 2*p - p + 0*p) as m*p + u and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuuy. What is prob of sequence uux?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (0 - -7) - 6\/12*-87222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11985.\nAnswer: 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -7) + -15 + -8 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 551611717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*q - 415. Suppose -2*k - q = -4*k + p, -370 = -5*k + 2*p. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12*9)\/((-7)\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2852 = -5*b + 101, u = 5*b - 981. What is u rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23805 + 7544 = 1081*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 120, -2, -3, 2392 in descending order.\nAnswer: 2392, 120, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*o**3 - 208*o**2.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-8\/3)\/u*u*u*u)\/u**38 assuming u is positive.\nAnswer: u**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6198\/11 - 564. Suppose -71*n = -79*n + 8. What is the closest to n in q, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65.56225 times -0.3\nAnswer: 19.668675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) -1.8 (c) 1\/5 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:17 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2797 + -6037. What is the common denominator of -8 - (-5)\/(j\/(-6018)) and 73\/6?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 20*h - 367. Give k(12).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 621*t + 624800.\nAnswer: -(t - 3905)*(t + 800)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -327 divided by 136\nAnswer: -327\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38325\/32 + -1198. What is the common denominator of y and -149\/180?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, -4, 5\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 89*u**3 + 2*u**2 - 11*u - 4. Let s be f(4). Let x = 8613 - s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y - 9. Let q(v) = -v**3 + 5*v**2 - 2*v + 3. Let k be q(5). Let o(b) = 4 + 6*b + 10 - 9. What is k*o(a) - 4*t(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 - -8720\nAnswer: 8719.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z + 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 5*z - 1. Let m = 4 - 0. Let t be u(m). Suppose -5*x - 8 = -y - 47, -5*y = -5*x + t. Calculate the highest common factor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 2, -6, 19, -1 in ascending order.\nAnswer: -10, -6, -1, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186170316 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 + 3040*w - 9165 = 0.\nAnswer: -611, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30675417, -61350804, -92026191?\n\"Answer: -30675387*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001127614113 to seven dps.\nAnswer: 0.0001128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*-6*sqrt(76)\/sqrt(4)*4 + -2)*-5.\nAnswer: -720*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(151\/9966)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -240334, -961235, -2162740, -3844855, -6007586, -8650939, -11774920?\n\"Answer: -k**3 - 240296*k**2 - 6*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(-193 + 193 + 11*r).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 325*b**8\/1344 + 51*b**7\/56 + b**6\/15 - 47*b**5\/30 + b**4\/2 + 2*b**3\/3 + 572*b**2 + b. Suppose r(k) = 0. What is k?\nAnswer: -2, -1, -2\/13, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + q**2 - 3 + (-3*q - 4*q + q)*(-2*q + 1 - 1) to a*q + v*q**2 + h and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-2)\/((-20)\/26). Let m(u) = -2*u**2 + 3 + 9*u**2 + 2 + u**3. Let w be m(-7). Solve -k - 2 = w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 4*v + 13. Let q be a(0). What is the highest common divisor of 104 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 7 = -43 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 3*a + 4*a - 6*a. Let g(i) be the first derivative of -83*i**3\/3 + 21. What is g(f(q))?\nAnswer: -332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 16) in base 10?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 1. Let y(d) = 49*d**2. What is o(y(z))?\nAnswer: 2401*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 25*p + 52 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 10023?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, -28 in descending order.\nAnswer: 3, 2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 8*o**2 - 10*o + 11. Let s be n(9). Suppose -3*h = -2*h - s*p - 18, -5*p = 3*h - 21. Let j = 20 - h. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.495 - -0.256. Let r = 306.239 + i. Let k = r - 279.2. Round k to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*r + 94 = -0*r, 5*y = -r + 110. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*d = -6*l - 26, -59*l + 5*d - 25 = -59*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 6 (b) -1\/29 (c) -21\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u + 2. Suppose 2 = -0*d + 3*d + 2*w, 5*w + 13 = -3*d. Let b be j(d). Is 33 - 0*b\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 37*l**3\/3 + 25357. Let f(w) = -5*w**2 - 3*w. Let u(h) = 14*h**2 + 8*h. Let x(q) = 8*f(q) + 3*u(q). Calculate x(m(d)).\nAnswer: 2738*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 52*v - 305. What is j(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**6 - r**2 - r. Let w(g) = 116*g**6 + 12*g**2 + 13*g. Let i(b) = w(b) + 6*z(b). What is the third derivative of i(d) wrt d?\nAnswer: 13200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25*v**3 + 5*v**2 + 5*v - 2. Let h(r) = -12*r**3 - 2*r**2 - 2*r + 1. Let z = -5078 - -5073. Give z*h(u) - 2*t(u).\nAnswer: 10*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 13*o - 51. Let z be ((-170)\/o)\/(2\/(-3)). Suppose 199 = z*x - 271. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.063, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let r be (3\/g)\/(3\/(-2)). Suppose r*h + h = 21. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 7*p + 7. Let d(c) = -2*c**2 + 4*c + 4. Suppose -2*b + 2 = 18. Let s be 0 + 2 - b\/4. Let r = 118 - 125. Give r*d(h) + s*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2893, 4721, 6545, 8365, 10181, 11993?\nAnswer: 13801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -715db (base 16) to base 12.\nAnswer: -1a4877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**4 + 1661*x**3 - 1661*x**3)*(-3 + 3 + 3) to v*x**3 + l*x**2 + r + j*x + t*x**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 422\/9 - 488\/9. Let s = t - -9. Let n = -2 + -2. Sort -2, s, n in ascending order.\nAnswer: n, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-1\/5)\/(w**(-2\/7))**(-22\/5)*(w*w**(-6)*w*w**4*w)\/(w**(-1)*w**(-2\/11)) assuming w is positive.\nAnswer: w**(356\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5922, 11209, 16496?\nAnswer: 21783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63746129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 33*h**2 - 4*h + 1. Determine b(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0, 0.04, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 47*y + 68. Let w be d(17). Solve w = -5*c + 5, -3*c - 17 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.5, 27, 4, 104, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -246\/5? (a) -2\/3 (b) 0.5 (c) -5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3 - -1)\/(29\/783)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aisravaaaoaosisria. Give prob of sequence aso.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 1*(sqrt(153) - 3*(sqrt(153) + sqrt(153)*1)))**2*1 + -5).\nAnswer: 240*sqrt(17) + 7672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 7) in base 14?\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i = 161 + 532 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -13217?\nAnswer: 3\/13217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 75?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 4. Let u be v(2). Solve -3*q = -3*r + 9, -2*q + 14 = -2*r - u*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f - 246. Suppose -54 = 5*z + 36. Let v = z - f. What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/8 - 2*w**3\/3 + 182*w**2. Let p(s) = 4*s**3 - s**2 - s. Let k be p(-1). Give r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -752 + 751.5. Which is bigger: i or -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -2643, -10136, -25463, -51414?\nAnswer: -90779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 - 250. Is -2 + 13935*(-35)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 6. Suppose -p*w + 16*w = 56. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 44*k + 142. Calculate d(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.104.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 849145 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 2*s**2 + 2*s**2 + 3*s**5 - 3*s**5 + 2*s**5 + (-11*s**4 + 71*s**2 - 71*s**2)*(-2 + 8 - 1)*(-5*s + 4*s + 2*s).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22365 (base 7) in base 5?\nAnswer: 140212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 44551862605?\nAnswer: -44551862605.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616162.\nAnswer: 2, 11, 164371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1632?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**3 + 176*z**2 + 8*z + 29. What are the prime factors of s(-13)?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z + 20. Let j = 10 + z. Suppose -2*f - 12 = -2*a + f, f + 11 = 3*a. Calculate the least common multiple of j and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 e when three letters picked without replacement from {w: 3, m: 1, d: 1, q: 1, e: 6, c: 3}.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 292 = -r, -q = -r + 3*r - 584. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4553 + 4607. Let d(h) = -198*h + 54. Let q(p) = -18*p + 5. Calculate t*q(g) - 5*d(g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(128) - (-2 + sqrt(128))) + -4*(0 + sqrt(128)) + -1)*3)**2.\nAnswer: 4032*sqrt(2) + 18873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -232, -5, 0, -1567, -6 in decreasing order.\nAnswer: 0, -2, -5, -6, -232, -1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 10202 = -2402. Let o = -369 + n. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 8*w - 7. Let q be u(-3). Let o(r) = -809*r**3 + 2*r + 2. Let l be o(q). Suppose 0*f + 473 = 3*j - 5*f, 0 = 5*j + 2*f - l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -46. Let o be 1 + -2 + (-7 - -4) + w. Suppose -317 = -o*y + 316. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*i**3 - 1\/3*i + 1\/3 - 5\/3*i**2 + 8\/3*i**4 + 4\/3*i**5 = 0. Calculate i.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:51 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 378412081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 - 102. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*k**2 - 10 + 3 + 4 + 1 wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 90. Suppose -30 = b - 41. Let q = v - b. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7372764 and 30.\nAnswer: 36863820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16a366 (base 11) to base 4\nAnswer: 1000013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8906383993 plus 0.479?\nAnswer: 8906383993.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17 - -20)\/(0 - -1). Let j(z) = -3*z + 2. Determine j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 803.85996025.\nAnswer: -803.95996025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 1.17244?\nAnswer: 1.17244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:53 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 30*x + 13. Suppose -v - 13 + 18 = 0. Let p = 306 + -273. Calculate the remainder when f(v) is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 3) + -11 + (-34)\/(-6). What is the nearest to -5 in p, 1, 5, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 660.04 + -135.05. Let n = 525 - p. Which is smaller: -11\/3 or n?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 280176, 1120806, 2521872, 4483374?\n\"Answer: 280218*q**2 - 24*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j - 2*j + 10*j. Let i(b) = 16*b. Let n(g) = -6*i(g) + 51*u(g). Let l(w) be the second derivative of w**3\/3 + w. Determine n(l(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12830828 divided by -3207707?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22502 is divided by 833.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 69249\/45 + (-3)\/45*-2. Find the second derivative of 1539*t**3 + 104*t**4 - l*t**3 + 94*t wrt t.\nAnswer: 1248*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*p - 4*h + 8, 0 = 2*h + 4. Suppose -128 = -3*g - w, -3*g - p*w - 46 = -4*g. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/27)\/((-69)\/(10350\/75)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -508, -490, -460, -418, -364, -298?\n\"Answer: 6*w**2 - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1 - 1) + -1. What is the tens digit of 0 + 33 - (4 + z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 - 3\/4. Let k be 4\/16*(1 - 6). Let m = 73\/52 + k. Put m, x, -5 in ascending order.\nAnswer: -5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 350 - 352. Let z = 5 + -4.8. What is the nearest to -2\/17 in d, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a century?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:48 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + 1. Let d(z) = -z**3 + 15*z**2 - 32*z + 26. Let n be d(12). Let q = n - 73. Give s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1965677835 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 2. Let s be r(6). Let a be s + 1 + (-4)\/(-2). What is the units digit of (0\/2 + a)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**3 - 3*o**2 + 2*o. Let n(h) = -13*h**3 + 5*h**2 - 5*h. Let j(u) = -3*n(u) - 5*p(u). Find the second derivative of j(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i - 34. Let o be p(6). Let f(x) = 2*x**3 - 12*x**2 - 10*x + 3. Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:21 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15958053*d**3 + 5319353*d**3 + 5319348*d**3 + 5319351*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (117*94\/1692)\/(-3 - (-119)\/42)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 18*j + 17. Let r be i(-11). Let g(s) = r*s - 286*s - 291*s. Let a(l) = 95*l. Determine a(g(c)).\nAnswer: 95*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*10\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 65*t**4 + 33320*t**3 - 6786515*t**2 + 9291430*t + 8295600 = 0.\nAnswer: -669, -8\/13, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1676*n**3 - 3. Let q(c) = -4672689*c**3 + 8365. What is 3*q(d) + 8365*v(d)?\nAnswer: 1673*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435616449 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7032 and 39848.\nAnswer: 119544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**5 + 111*g**4*i**2 - 7*g**3*i + 5*g**2*i**2 - 8*g**2 - 506*i**2 wrt g?\nAnswer: 780*g**2 + 2664*g*i**2 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**2 - 340*n - 23. Give i(-35).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-69)\/(-92))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 119*g + 13 - 23 to the form n + z*g and give z.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 252 = -1 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12462.\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13440223 (base 5) to base 15\nAnswer: -2b778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 702*i + 79. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**4 - 6 + 6)*(2 + 0 + 1).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (23 - 8 - -7) + 0 + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191039 by -124.\nAnswer: -191039\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3965 - -26870. What are the prime factors of s?\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8.478 (b) -0.3 (c) 0.3 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v**2 + 26*v**2 - 26*v**2 + 14*v**2.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 + 0.3. Let w = -4.481 - 0.019. Let h = r - w. Sort -1, h, -2\/9.\nAnswer: -1, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2)*(25 + -24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -528 greater than -5744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262.5 less than 3?\nAnswer: -1259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-4) + 0 + (5 - 3). Let o be (-5)\/(-3) + u - 2. What is the biggest value in o, 2, 0.2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 11\/4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + 5*o)*(-1 + 1 + 2*o) + (0*o + 3*o - o)*(0*o + o + o) + 5 - o**2 - 5 + 2*o**2 + o**2 - 5*o**2 + o**2 + 3 - 3.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 147*x**2 - 7*x + 5 + 145*x**2 as j*x**2 + y*x + n and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 16*x + 36. Let o = 18 - x. Solve o = i + 4*m - 6, -i - i - 2 = m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2435040 + -113?\nAnswer: 2434523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -107\/2. Suppose -2*h = h + 3*w - 15, -3*w - 9 = -h. Let i = -3 + h. Which is the second smallest value? (a) n (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -652 + 647. Which is smaller: -22 or c?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, x: 1, r: 1, e: 3, q: 1, d: 2}. Give prob of sequence dr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 967779 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/41 + 148\/451. Let w = -100 + 116. What is the second biggest value in -4\/5, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134\/(-134)*2\/(-10)*1*-9?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (0 + sqrt(17))**2*-3)*-2.\nAnswer: -102 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -813, -0.2, 1.1 in increasing order.\nAnswer: -813, -0.2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**2*y**2 - 5309*h**2*y - 3*h*y**2 + 45*y**2 wrt y?\nAnswer: 14*h**2 - 6*h + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6*3)\/(7\/(-4))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-819)\/(-84)*20\/(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + -4*((sqrt(363) - sqrt(363)*-1) + 5) + (sqrt(363) + -1 + -2)*-1))**2.\nAnswer: 17424*sqrt(3) + 119548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 762 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f + 4. Let r(o) be the third derivative of 27*o**4\/2 + 33*o**3\/2 - 27*o**2 + 3*o + 64. What is -4*r(n) + 99*s(n)?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooro. Give prob of picking 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 9720807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440727 by 217.\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 140. Is 4 - (12849\/(-3) - d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from mmmuumu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 3*s**2 + s**2 + (-3*s - s + 2*s)*(-4 + 4 - 34*s) to the form d*s + u*s**2 + l and give u.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(9*d**2 - 2*d**2 + 0*d**2).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r - 6. Let k(j) = 26 - 6*j + 33 - 88 + 7*j + 30. What is 30*k(c) + 5*z(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 2346 (c) 55 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 831615797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5992 and 14980?\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 692789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/3340 and 41\/13200.\nAnswer: 2204400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -2 + (-23)\/(-2))\/((-54)\/(-70092))?\nAnswer: 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10.07. Which is the nearest to 2? (a) 3 (b) -1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*w - 16 = -0*w, -2*w + 7 = 3*a. Does 19 divide -2*(a + 0 + -22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 + -3?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*((sqrt(832) + 1)*6 + 0 + (sqrt(832) - (sqrt(832) + 1*sqrt(832)))))**2 + ((sqrt(832) + 2 + -4)**2 - (sqrt(832) + sqrt(832) + 1 + 2))).\nAnswer: -1336836 - 30528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/5))**(-4\/9))**(-18\/11) assuming f is positive.\nAnswer: f**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*s - 4*s. Suppose -2*w + 288 = s*w. What is the least common multiple of ((-3)\/3)\/(-2 + 94\/w) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011010110101011 + 1101?\nAnswer: 10111011010110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*l*r - 616*l - 21*r wrt r?\nAnswer: 8*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/13)*g)\/(g*g**30))\/((g**13\/g)\/(g*g*g\/(g*g*g*g**(-5\/2)\/g*g))) assuming g is positive.\nAnswer: g**(-1031\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:50 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + (-4)\/(-2). Let y = -1 + p. Let x be 0*((-4)\/2)\/(-4). Is x at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*z + 0 + 26 = 0, 0 = -2*h - z - 20. Let u = h - -27. List the prime factors of 4\/u - (-1683)\/81.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53167603.\nAnswer: 503, 105701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(9\/60)\/((-11)\/165)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/9 (b) -0.004 (c) -4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42534, -42546, -42552, -42546, -42522, -42474?\n\"Answer: u**3 - 3*u**2 - 10*u - 42522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twj when three letters picked without replacement from wwmwtmmljtjflj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 3*i + 3064 = -6*w, -5*w + 5*i + 15260 = 0. Let b = w + -2171. List the prime factors of b.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.094 + -0.306. Let x = 4 + -3. Let f = 0 + x. Sort f, 4, b in descending order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12901.\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20586839 and 1703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161061\/14 - 11511. Let n = -94 - -1912. What is the common denominator of (3\/(-4))\/(n\/636 + -3) and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176261579, 352523171, 528784777, 705046403, 881308055, 1057569739, 1233831461?\nAnswer: 1410093227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19775*n**2 + 613265*n + 7440.\nAnswer: 5*(n + 31)*(3955*n + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 - (-2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v**2 - 332*v + 1013. What is b(3)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r - 3*m - 1094 = 0, -1383 = -5*r - 4*m. What is the highest common factor of r and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1931 + 29*f - 9*f - 1930. Let b be q(8). Let r = b + 3. What is the lowest common multiple of 2 and r?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -39. Suppose 11 = l*z - 13. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130698000 to the nearest one million.\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189460\/67 or -2827?\nAnswer: -189460\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(20\/4) - (-165)\/1.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433005 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + -0.2. Which is the second smallest value? (a) r (b) -7 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 2*z**4 - 3*z**4 + (z**2 - 2*z**2 - 3*z**2)*(z**2 + 0*z**2 - 2*z**2) + (-z**2 + z**2 - z**2)*(z**2 + z**2 - z**2).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/4 (c) 0.049 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (-6 - -72) + -82?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49110 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -57. Suppose -v = 2*v - t. What is the remainder when 34 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*f - 40, b = 3*b - f - 41. Let m = -78 + 100. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 12*n + 19*n + 16*n - 374.\nAnswer: 23*n - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 75*u**4\/4 + 74*u + 51. What is the first derivative of h(k) wrt k?\nAnswer: 225*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157368*c**2 + 48953*c**2 + c + 2 - 1743*c**2 - 77695*c**2.\nAnswer: -187853*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*j + 471*j - 42 = -10*m, -2*m + 4*j = -0 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvuvuv. Give prob of sequence vuv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(11 + -13))\/(46\/(-6) + 3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(875) + (sqrt(875) - -2*sqrt(875)))*-1)\/(3*sqrt(5)*-4 - (sqrt(5) + (sqrt(5) + sqrt(5)*-3*-6 + sqrt(5) - sqrt(5)) + sqrt(5))).\nAnswer: 20*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -5. Let h = b + -10. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 2 = 0. Let n be q + 0 + 0\/(-2). Let v be (n*1 - -16) + 2. Solve -5*c = -c - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*s + 42045 = 48090 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, f: 2, g: 2, q: 2, n: 6}. What is prob of picking 2 q and 2 u?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u - 28. Determine w(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 291, 63, -185, -459, -765, -1109?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -127757*f. Let d(q) = q**2. Give d(c(w)).\nAnswer: 16321851049*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*f - 0*a + 19, f - 21 = -4*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6684*z**6 - 10*z**3 + 119*z**2 - 183*z?\nAnswer: 802080*z**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/24 + r**3\/3 + 18*r**2. Let g be 1\/2 + (-35)\/10. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 3. Let g(y) = 7*y + 4. Let a(i) = -4*g(i) + 5*l(i). Let s = 6 + -7. Let r(f) = -f + 1. Calculate s*a(u) - r(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*(z*z*z\/(z*z*z**(-3\/13)\/z))\/z)\/(z**(1\/15))**(-5) assuming z is positive.\nAnswer: z**(139\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 138*i - 1398. Let w be z(11). Which is the closest to 4? (a) w (b) -1\/5 (c) 1\/198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 t, and 1 c when four letters picked without replacement from ttwlzrwrwwrwtwwcwtwr.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (259 - 256).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.158856584 - 0.15887. What is h rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o + 9 + 22*o**2 - 21*o**2 + 3. Let y be l(8). Calculate the highest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, i: 1, q: 1, c: 1}. What is prob of picking 1 i and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -658 in 1\/8, -3\/7, -2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*g + 7, 4*g + o - 8 + 0 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z - 2*z + (-1 - 4 + 3)*(0*z - z + 0*z) + 0*z + 3*z - 2*z)*(21*z + 6*z - 7*z)*(-2*z**2 + 11*z**2 + 5*z**2).\nAnswer: 560*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(1 + 2 - 10\/2). Sort -1, -3, -2, f in descending order.\nAnswer: f, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**2 + 11*s + 124*s**3 - 4*s - 27 + 29 + 3786*s**3 - 5*s wrt s?\nAnswer: 23460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -47 + 30 + (6 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*y - 5 = 663*y. Let t(b) = b - 1. Let j(p) = 5*p + 6. Let i(v) = j(v) - 6*t(v). What is the remainder when 19 is divided by i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 15*u**2 + 14*u + 24. Let a be j(-16). Let r = a + -43. Let y(g) = 2*g + 9. What is the remainder when y(7) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(150) + -3 + 4.\nAnswer: sqrt(7)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6575, -6618, -6661?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 0.3 (c) -39 (d) 132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3423803 to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*g + 13 - 13)*(-7 + 2 - 15).\nAnswer: -580*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 3*t + 4*t**3 - 5*t**3 - t + (-3*t**2 + 4*t**2 - 2*t**2)*(3*t - 2*t + 0*t).\nAnswer: -2*t**3 - 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691, -1321, -1895, -2419, -2899, -3341, -3751?\nAnswer: -4135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j - 43. Let l(s) = -s**3 - 5*s**2 + 12*s + 3. Let y be l(-6). Let h = y - -54. Is z(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*r - 40, 2*r = 3*f - 7 - 31. Let j be -10 + 930\/70 - (-2)\/(-7). Suppose -j*q + 29 = -7. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(((-782)\/(-69))\/(-34))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2122902 is divided by 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 14*f - 1. What is d(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111839437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*y + 6, 0 = -3*h - 3*y - 15. Let p(x) = x + 20. Determine p(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4104548023 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/4 + -5 + -9. Let s be 2\/x + (-884)\/24 + -3. Let a be 60\/s*16\/(-6). Solve l + 2 + 2 = 3*v, 0 = a*l + 3*v + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 1413, 2140?\nAnswer: 2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -227*z + 36. Let b(n) = -77*n + 11. Give 7*b(p) - 2*l(p).\nAnswer: -85*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 43*y - 44*y + 0.\nAnswer: -y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 17*d - 4. Let o(s) = -s**3 + 15*s**2 + 14*s + 14. Let a be o(16). Calculate the remainder when u(a) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 15) to base 12\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Suppose -297 = -9*c + 5*c + 5*d, -2*d = 3*c - 194. Let w(g) = 35 - c + 34. What is -q(k) + 2*w(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83 and 200.\nAnswer: -16600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89588776 >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102088 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from lsse?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.18\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1537*k + 1599*k - 19131 = 2735*k + 14152 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19733699 is divided by 9745.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 7) + -5 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153810\/58320 + 273\/(-104).\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1661*n - 14424 = -5*u - 1665*n, 0 = u + 4*n - 2904. Is u a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 263 = 43*v - 39*v - v, 5*v - 2*u = 655 - 196 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*1 - ((-635 - 10) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 - 1306480*j**2 + 13065100*j - 32663000 = 0.\nAnswer: -326630, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**3 - 2 - 9*v**3 + 2 - 11*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12183 + -3333?\nAnswer: -154b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5706224 and -0.18?\nAnswer: -1027120.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 78, -6, -1108, 12 in decreasing order.\nAnswer: 78, 12, 4, -6, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 590 - 582. Is (-5 - -2 - 274\/c)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3996453941\nAnswer: -3996453934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(11))*2.\nAnswer: -8 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2\/12 + (161756\/1176)\/(-109).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*m**2 + 18*m + 148*m**2 + 4*m**3 + 4*m**3 to the form s + b*m**2 + x*m**3 + q*m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b + 3. Let h(x) = 13*x + 2. Let j(d) = -9*d**2 + 81*d + 4. Let v be j(9). Calculate v*h(w) - 3*n(w).\nAnswer: 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1209, -1204, -1197, -1188, -1177, -1164, -1149?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 6*f + 6. Let b be j(-6). Let z(a) = a**2 - 9*a - 8. Let l(r) = -r**2 + 10*r + 9. Let q(p) = 4*l(p) + 5*z(p). Determine q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289095 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*r - 2)*(2*r**2 - 2*r**4 - 2*r**2) + (6 - 6 + 6*r)*(-3*r**4 + 2*r**3 - 2*r**3).\nAnswer: -22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/3 + (-70)\/(-105). Suppose z*f = 2213 + 1182. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -0.3, 0.0755, 2\/3?\nAnswer: 0.0755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -426, -424, -434, -462, -514, -596, -714?\n\"Answer: -h**3 + 9*h - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) -3 (c) 4\/5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*(-30)\/(-75)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**7\/840 + b**6\/120 - b**5\/40 - 17*b**4\/3 - 6*b. Let y(c) be the third derivative of d(c). What is y(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755061159?\nAnswer: 3, 19, 13246687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -1\/92 (b) -4 (c) 5 (d) 2\/15 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10589 = -1762*d + 3464 - 5209 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.67 less than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 80636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 17\/41467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 41 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000564517 to 6 decimal places.\nAnswer: -0.000565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6231000 and 232500?\nAnswer: 31155000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*40\/150 - (-27)\/(-45)*(-1758)\/18?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 672677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + 1 + -2 + 0. Suppose -1 = z + u, -3*u - 8 = -0*z - v*z. Let m = 3 + 1. Sort m, -0.5, z.\nAnswer: -0.5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let a(j) = 15*j**2 - 15*j**2 + 11*j**2. Give a(f(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 11*s + 3. Let f be v(6). Suppose l + 4 = f. Suppose l*a - 24 = 1. Solve -k + 1 = 4*j, 3*j + 2*k = 2 + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*l**2 - 4*l**2 - 3*l**2 + 7*l**6 wrt l.\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21811*p**2\/5 + 5714494*p\/5 + 3144\/5 = 0 for p.\nAnswer: -262, -12\/21811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -5*q**4 - 25*q**3 - 20*q**2 + 15*q - 7. Determine p so that c(p) = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: c59 (base 14) to base 5\nAnswer: 34211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*j + 0*j + 761 = -37*j - 790 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 8*d + 7. Let h be p(5). Suppose -4*v + h = -5*s, -3*s + 366 = 5*v + 148. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pccf when four letters picked without replacement from ccffcfcfffcpffffrcf?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23343504*b + 6060425 wrt b?\nAnswer: -23343504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 192 - 72. Let b = -9 + 4. Let i be b*6\/(-45) - s\/6. Solve w - 5*n - 5 + 1 = 0, 0 = i*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 23024 = -4*x, -2*j + 17946 = -2*x + 2596. What is the highest common divisor of j and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392028604 rounded to the nearest 100000?\nAnswer: 392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12756846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 632612147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 5*i = -2*l + 20, -4*i = -2*l - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 0 - 2*d**2 - 6 + d + 4*d**2. Let o be s(4). Let r = 34 - o. Calculate the smallest common multiple of r and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5322*b**4 + b + 65 wrt b?\nAnswer: 63864*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2 + 8 + 3*f + f - 3*f. Let t = -5 + -3. Let z be g(t). Solve z*o - o = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32622.9994105 + -32623. Round f to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*v + 4, -2*v - 5*s + 7 = 2*v. Let g = 2032\/9 + -226. What is the biggest value in -9, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*i**4 - 75*i**2 - 3641869*i wrt i.\nAnswer: 1032*i**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l. Let w be (-8)\/(-30) - (-1271)\/465. Let a(x) be the second derivative of 2\/3*x**w - 29*x + 0 + 0*x**2. Determine s(a(g)).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191\/3 + 63. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*sqrt(180)*2 + -4 + 5)**2*-6)*-1 + 0.\nAnswer: -432*sqrt(5) + 38889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, 2 in descending order.\nAnswer: 7, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5880215, -23520800, -52921771, -94083122, -147004847, -211686940?\nAnswer: -288129395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -11 - (72 - 118)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -848065376 rounded to the nearest one hundred thousand?\nAnswer: -848100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k. Suppose k = 3*p - 2 - 7. Find the third derivative of p*v**4 - 37*v**2 - v + 33*v**2 + v wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + p**2 - 23*p - 32*p + 48*p**2 + 55*p.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 471?\nAnswer: -470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21390000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 10*c - 5. Determine g(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -5.1. Sort 0.5, g, 0.1 in decreasing order.\nAnswer: g, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 11961113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 202567 + 98230 + 104337.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g + 3*s - 31, -15 = g - 4*s. Suppose -g*u = -7*u + 6. Let q(m) = 5*m - 2. Give q(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6)\/sqrt(3) + -2))**2.\nAnswer: -100*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -1\/5 (c) 3 (d) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*f**3 + 10*f**2*s**3 - 12325*f**2*s + 1690*f*s**3 + 29448*f*s**2 wrt f?\nAnswer: -120*f + 20*s**3 - 24650*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiiiiiwiiiiiiiiii. What is prob of picking 1 w and 1 i?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 2*u**7\/21 - 7*u**5\/5 - 2*u**4\/3 + 8*u**3 + 16*u**2 - 9*u. What is n in y(n) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2. Let z(m) = -9*m**2. What is z(b(l))?\nAnswer: -1089*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 7. Let y be t(-3). Let l(i) = 14*i - 2*i + y - 13*i + 2. Determine l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272.799958785 + 272.8. Round k to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Let i = 8 - r. Find the third derivative of 0*b**i + 2*b**3 - b**2 - 3*b**3 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 8*h + 2*h + 6*h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31639316?\nAnswer: 2, 7909829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10125277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 100648038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 a, and 1 t when four letters picked without replacement from afaaaitafttai.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12654514 (base 7) to base 13\nAnswer: 321091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8 + 6. Let n(f) = -2*f**2 + 8*f - 3. Let m be n(v). Let s be (8\/10)\/((-2)\/m). Calculate the highest common divisor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238091240.\nAnswer: 2, 5, 5952281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 11*g**2 + 20*g - 11. Let t be o(-7). Let n be 1*(-4)\/6 - 0. Which is the smallest value? (a) t (b) n (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.031? (a) 1\/6 (b) 7 (c) -0.1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(128) - (-1 + sqrt(128))) + sqrt(128))*6 + 4 - -2*(1 + sqrt(128))*-1) + -5)**2*5.\nAnswer: 960*sqrt(2) + 10285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 8*r**2 + 27 + (-2 - 4 + 4)*(r - 2*r**2 - r) - 1 + 1 + r**2 + (-2 + 2 + r)*(4*r - 5*r - 2*r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 15. What is the first derivative of -3 + 10*f**3 + 0*f**3 - j*f**3 wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 times 28?\nAnswer: -17472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnjnjnj. What is prob of sequence nnnj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + ((-24)\/3)\/2. Suppose -5*o + 10 = t, 0 = -0*r + 2*r - o. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/((sqrt(6) - sqrt(1350)\/sqrt(9)) + sqrt(6)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6 and ((-24)\/42 - 0)\/(3\/(-39))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.1, -6\/107, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1629*f + 1. Let j(s) = s**2. What is j(n(g))?\nAnswer: 2653641*g**2 + 3258*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*q - 36, 2*q - 45 = -3*q + u. Suppose a - 4*a = 5*c + 5, -5*c = -5*a - 35. Let t be q\/2 + a\/10. Solve -5*b - t*g = -40, 4*b + g = -14 + 35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810212201 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208.9 + -204.9. Let c be (-24)\/(-21)*2\/8. What is the biggest value in b, -4, c, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304220*i - 304191*i + 608417*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*p - 26, 5*p - 6*w = -3*w - 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13620946.\nAnswer: 2, 6810473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*w - 484*w = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6794, -23, 78, 1 in decreasing order.\nAnswer: 78, 1, -23, -6794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - h**2 + 2 - 3*h**2 - 1 + 1 + (-4*h**2 - 25*h**2 + 4*h**2)*(1 - 1 + 2) + (-h**2 - 3*h**2 - 7*h**2)*(1 + 2 - 2).\nAnswer: -65*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by 2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1261858 or -1261893?\nAnswer: -1261893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1126*v + 7014. Give h(-6).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = 36. Let o = -5 + g. Suppose 5*m + 4*c - 49 = 0, c = -0 + 1. What is the least common multiple of m and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 122. Let h = 8 - 2. Solve -3*t = -d*t + h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -222*t + 4013. Determine r(19).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65277 - 190381 = -2234*p for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 35.1. Suppose 384 = 5*v - 2*u, 5*v + 4*u - 497 + 125 = 0. Let x = v - 381\/5. What is the closest to j in -2, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2147*z - 150 = -2117*z. Let w(j) = j**2 + 11. Determine w(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250721653 to the power of 1\/4, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13039 divided by 267\nAnswer: -13039\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 223.682 and 25265506.\nAnswer: 25265729.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 225\/(-33)) + (-46)\/110\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 14*k + 0*k)*(4 - 1 - 2) - 4*k + k - 2*k)*(3 + 4 - 4).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*v**4 + 0*v - 4\/7*v**3 + 2\/7*v**2 + 0.\nAnswer: 2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 19. Let n be b(-5). Suppose 165 + 115 = n*g. Solve g + 0 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23722 and 1197961?\nAnswer: 2395922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*g + 2655 = 0, 5*r = 37*g - 39*g - 2630. Which is bigger: -531 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-479540.\nAnswer: 95908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 11. Suppose 0 = 3*s - 2*s - p. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55265 (b) -0.5 (c) 0.3 (d) 3 (e) -2\/13 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 180*m**3 - 4*m**2 + 180*m.\nAnswer: 4*m*(m - 45)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*s + 1388*s + 8520 = -1760*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 37*d**2 - 42*d**2 - 24*d**3 + 23*d**3 + 9*d + 7. Determine f(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 46714221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-d**2 - d**2 + 3*d**2) + 26273*d**2 - 13268*d**2 - 13442*d**2 to the form u + v*d**2 + q*d and give v.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176777689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/14*897\/(-506). Let y = -8\/11 - m. What is the nearest to y in -2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-270)\/4)\/3. Let t = 75 - c. Suppose -2*z + 46 = 2*s - t, -188 = -4*s + 5*z. What is the greatest common factor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 47*k**3\/6 - 4*k - 15. Let w(r) be the first derivative of p(r). Calculate the remainder when w(2) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w**2 + 13*w**2 + 84*w**2.\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -4*i. Suppose -4*m = 3*z - 242, 4*m = 6*m + i*z - 122. Let h = m - 41. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*-1*sqrt(35))\/(2*sqrt(1008)))**2 - 5*((sqrt(240) - 1*sqrt(240))\/(sqrt(108) + sqrt(108) + (2*sqrt(108) - sqrt(108) - sqrt(108))))**2.\nAnswer: 197\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.01 - 3. Let x be (-20)\/(-5) + (-109)\/30. Let m = x - -3\/10. Which is the nearest to m? (a) 3 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - -49) + -100 - (-4 + (-113 - 4)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 3*k + k)*(1 - 2 + 4) + k + k + k)*(-15*k**4 - 6*k**4 + 7*k**4).\nAnswer: 42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*u**3 + 3 - 64*u**3 + 4*u**2 - 58*u**3 - 6*u)*(-1 - 1 - 1).\nAnswer: 3*u**3 - 12*u**2 + 18*u - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -7 - 6*m**2 + 12*m**2 - 7*m**2 + 2*m. Let r be (-6)\/30 + (-369)\/(-45). Give z(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(-16)\/(-48)*12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42617074 and 1133.\nAnswer: 468787814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-14))\/(2\/(-7)). Suppose -17 = -v*u - p, 2*u + 2*p + 5 = 5*u. Solve -5*b + 2*c = -10*b + 13, -5*b + u*c - 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-86)\/(-8) - (-9)\/(-12). Suppose a = 23*u - 634. What is the greatest common divisor of u and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 271836 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**2 + 25\/12*s**4 - 124*s - 5\/2*s**5 + 0*s**3 + 0. What is the third derivative of u(h) wrt h?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3))\/l**(-1)*(l\/(l*l*l**(-1\/4)*l*l))\/(l\/(l\/(l\/(l*(l*l**(-1)*l*l)\/l))))*((l*l\/l**1)**(-9))**(-1) assuming l is positive.\nAnswer: l**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -5*f**4\/12 + 3*f**3\/2 - 35*f + 28. Let c(p) be the first derivative of q(p). Let x(k) = k. Calculate x(c(d)).\nAnswer: -5*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 58 = 3*z + 2*r, -4*z - 5*r + 31 + 46 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9*y - 876 = -4*a, 4*y = -5*a + 1737. Let t = y + 116. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4888775*p**2 + 3 - 4886276*p**2 - 3.\nAnswer: 2499*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -23 - 3*i + 11 + 10. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3559, 7565, 11571, 15577, 19583?\n\"Answer: 4006*r - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:42 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25250557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -39690 + 39722 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 121*n**3 + 598*n - 598*n + (-4*n + 2*n + 3*n)*(-2*n + 2*n - n**2) + (0*n + 2*n - n)*(0*n + 0*n - n**2).\nAnswer: 119*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/(-3))\/((-17)\/(-17)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let w(y) = -5*y**2 - y + 1. Let u = -57 + 60. Suppose -14 = -3*g + 1. Suppose 4*z - 1 = 5*a, z - 4 = g*a - 0. Give a*w(t) + u*q(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2452 = 13*l - 1633. Sort -1, l, -3, -2 in ascending order.\nAnswer: l, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061334 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-75)\/(-20))\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2469678 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from uhqeqkj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 + 18. Suppose -288 = 7*w - 13*w. Calculate the highest common factor of z and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051991 rounded to three decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10580399?\nAnswer: 10580399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 20. Determine x(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*k**3*l - k*l*r**3 + 2*k*r - 10*l*r**3 + 2*l - 3*r with respect to k.\nAnswer: -66*k**2*l - l*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -5. Let y be 3\/(-6)*(-84)\/l. Let -12*m**2 - 6*m**3 - 2*m**5 + 3*m - 4*m**4 + y + 5*m**5 + 10*m**4 = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6*z**0)\/((z*z\/(z*z**(-3\/2)\/z))\/(z**(-4\/9)\/z*z)) assuming z is positive.\nAnswer: z**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d - 1. Let o be y(-4). Let n(w) = -w - 3. What is the units digit of n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*f + 3*b, -33*f + 2*b = -35*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 + -6 + -14) - -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3 - 11 + 3)*(-t + 0*t + 4*t)*(5 - 4 + 1).\nAnswer: 132*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -160838586*p**3 - 112648671 wrt p?\nAnswer: -482515758*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) + 26\/(-8). Let i be h\/(-2)*4\/(-15). Let n = 5 + -5. What is the nearest to -2\/5 in -5, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*p - 1046*p + 181*p - 2.\nAnswer: -1065*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**2 - 10*r - 1. Let t = 133 - 142. Let g be 51\/(-7) - t\/(441\/14). Determine s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**2 + 0*j + 1\/60*j**5 + 0 + 2\/3*j**3 + 5\/24*j**4. Let o be -4 + (-3)\/6*-2. Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 3\/2, -2\/7, -3\/4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*s - 142*s + 48*s + (-s - 5*s + 4*s)*(10 - 7 - 4) in the form d + o*s and give o.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) 22 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from fpep.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 divided by 4?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2080 - -2079.998709. What is l rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - ((-29)\/(-30) + -7). What is the smallest value in v, -46, 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 5. Let f(w) = w - 1. Let s(z) = -4*f(z) - g(z). Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3812529.2 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 44306*k - 620077. What is q(14)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -273\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2829, 2463, 2097, 1731?\n\"Answer: -366*s + 3195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1508.7 + 1509.5. Which is the nearest to -1? (a) 5 (b) d (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 6*h - 5. Let n be i(-5). Let t(f) = f**2 + f + 3. Is t(n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:38 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 309584266 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wweesdddpefsws. What is prob of picking 1 p, 1 d, and 1 w?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 10}. What is prob of picking 4 e?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93951 and 228384?\nAnswer: 183392352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -0.0216, 5 in descending order.\nAnswer: 5, -0.0216, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:54 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 22457 = -5*x + 22479, 6 = 5*x - 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrd when three letters picked without replacement from xdxrjjo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -17*r + 50*r + 647 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6*b)*(4*b**3 + b**3 - b**3).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30076.5 rounded to the nearest one hundred?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-143)\/(-429) + 586\/6 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5\/5 - 693*r**4\/5 + 25731*r**3\/5 + 113469*r**2\/5 + 32778*r\/5 - 171288\/5 = 0.\nAnswer: -3, -2, 1, 52, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 17*v + 14. Let d be n(-11). Let g = 49 - d. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p**5\/2 - 12*p**4 + 15*p**3\/2 - p**2 = 0. Calculate p.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-4\/13)\/((z**(-1\/6)\/z*z)\/z**(1\/5)) assuming z is positive.\nAnswer: z**(1241\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -585, 2\/3, 5, 4, 2, 225?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-112) - (9 + -27)\/(-9)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**6\/240 - n**4\/48 - 7*n**2\/2 + 1. Let h(u) be the second derivative of g(u). Determine r so that h(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/200 and 41\/7225?\nAnswer: 57800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 33 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i**5\/5 + 58*i**3\/3 + 33*i - 466. Find the first derivative of w(x) wrt x.\nAnswer: 12*x**3 + 116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 10*x**4\/11 - 67004*x**3\/11 + 26800*x**2\/11 = 0.\nAnswer: 0, 2\/5, 6700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 142. What is i(11)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n**(2\/9)\/n)))\/n)\/n*n)**9*n*n*n**(-27)*n*n*n*n\/(n**(-3\/23)*n*n)*n assuming n is positive.\nAnswer: n**(-871\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.809 + -1.091. Let t = 69.9 + q. Which is the closest to t? (a) -2 (b) -1\/2 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3*w**2 + w**2 + w**2) + 3 - 2*w**2 - 3 + (-2*w + 2*w + w)*(2 + 3 - 4)*(w + 2*w - 5*w) + (-4*w + 4*w + 2*w)*(5*w + 5*w - 4*w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4782, 9831, 14880?\nAnswer: 19929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 1, k: 1, m: 2, o: 1, w: 1}. What is prob of picking 2 a, 1 w, and 1 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1)\/y)**(1\/51)\/(y**(-3\/5)\/(y\/(y\/y**(-7)*y*y)*y)))**(-32))**(-1\/3) assuming y is positive.\nAnswer: y**(-60544\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20304 and 4.0338.\nAnswer: 81902.2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 47 + 9*l + 44)*(-4 + 4 + 2).\nAnswer: 18*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512964 and 9812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 468*f + 15609 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4184415397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4192600 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86498*p**2 + 165944*p?\nAnswer: 172996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 17}. Give prob of picking 1 h and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -576*f**6 + 15*f**4 - 2*f**3 - 45519998*f**2?\nAnswer: -69120*f**3 + 360*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let h be (-20)\/16 + 1\/4. What is the remainder when 32 is divided by h*34\/(a + -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5454538938?\nAnswer: 2, 3, 303029941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:37 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20483677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20*-20 + (-660)\/(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 2. Let s be r(2). Suppose -121 = -s*x + 207. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -878924826?\nAnswer: 878924826.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -1 - (-2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**4 + 6*s**3 + 8*s**2 - 6*s - 5. Let x(r) = 7*r**4 + 12*r**3 + 18*r**2 - 12*r - 10. Let f(c) = 5*k(c) - 2*x(c). Factor f(n).\nAnswer: (n - 1)*(n + 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4))**28*r**(-4\/9)\/(r*r**(-1)) assuming r is positive.\nAnswer: r**(311\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + x + 7 = 0, 38 = v + 5*x + 9. Suppose -5*o - 15 = 5*a, v*a + 12 = -0*o + o. Let z = 14 + -10. What is the nearest to -2\/3 in 1, z, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 19*c - 56. Let u be w(4). What is the tens digit of (-7 + u)\/(2 - 1011\/501)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*q - 7*q - q)*(7 - q**2 - 15*q - 4 - 2).\nAnswer: 48*q**3 + 720*q**2 - 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1479*x + 452. Does 25 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - r)*(-10 - 8 - 28)*(2*r + r - 2*r - 3 + 3 + r - 2 + 2*r + 2 + (-1 + 3 - 4)*(-2 + 2 - 2*r) + 1 - 1 + 2*r) as s*r + j + k*r**2 and give k.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 11, 5, -1?\n\"Answer: -6*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 36 = -a + 4*a, a - 5*m = 12. Calculate the least common multiple of a and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/29 and 34\/243?\nAnswer: 7047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2066.375 kilometers?\nAnswer: 2066375000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/13)\/(21\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/7 (c) 4\/9 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/13599928 and 169\/1522380.\nAnswer: 203998920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*v - 2*v - 11 = 0, 3*l - 5*v + 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 233 + 11*t**3 + 38593*t - 38593*t as p*t**3 + b*t**2 + j + a*t and give j.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32369 is divided by 32314.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4896 or 4519?\nAnswer: 4519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*m - 537 + 1571. Solve p - m = -5*d, -15*p + 16*p = 5*d - 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (9\/12 + (-105)\/28). Solve -74 + 70 = -2*b - 4*c, -g*b - 5*c = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*a = -32, 2*g - 2*a - a - 28 = 0. Let j(s) = g*s - s**3 + 9 - 2 - 3*s**2 - 3*s. What is the remainder when j(-6) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37586*-0.3.\nAnswer: 11275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 63*r - 60*r + 198 + 141*r.\nAnswer: 18*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o**2 - 8 + 2*o**2 - 2*o**2 + o**2 + 2*o**2 - o**2 + (-5 - 2*o**2 + 5)*(-1 - 5 + 4).\nAnswer: 7*o**2 - o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-14)*40*11\/638*-203.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*m - 8 + 13, -5*g + 29 = m. Solve -m*q = 3*t - 2, -4*t + 5 = 2*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260954917708+-7.539\nAnswer: -260954917715.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 56 - 23)*(-66*s - 199 + 199 + (0 - 1 - 1)*(4*s - s - 4*s)) to r + a*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153357 is divided by 616?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -88018, 15 in descending order.\nAnswer: 15, 3\/4, -88018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 120 + -5 + (1022 - 1082)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 20. Let p = -1\/45 + 47\/90. Let z = -2 - -1.9. What is the nearest to z in p, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 4 + 7*i + 0*i + i - 9*i.\nAnswer: 7*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*j - 1607484 + 219691 = 1111759. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h**(-2\/5))**6 assuming h is positive.\nAnswer: h**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059773 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -q + 20, -17237 + 17262 = -3*v - 2*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2241 - 3717. Let c be 4\/(-10) + s\/(-15). Is c\/(4\/(-2))*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423552 a multiple of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13194394?\nAnswer: 2, 6597197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (60\/385)\/(-36*63\/(-63504))\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -s + 7, 2*s - 2*i + 42 = 5*s. What is the second derivative of -4*d**2 + s*d**2 + 20*d - 2*d wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 27 = 2*f - 5*i, -2*f + 4*i = -22. Suppose 3*c + 0*c - 3 = 0. Suppose -2*l + c = 9. Put f, 0, l in descending order.\nAnswer: f, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 17. Suppose -d + 4*d - 48 = 0. Let k be i(d). Solve 4*b + k = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9709042.89 to the nearest one hundred.\nAnswer: 9709000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -856787 take away 933?\nAnswer: -857720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -13030?\nAnswer: 13113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-593464)\/(-24) + 12)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, 0 = -0*y + 5*y + 5*h - 5. Solve -4*v - y + 7 = 2*a, 1 = -3*v + 4*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 146, -1, -174, 3\/4 in decreasing order.\nAnswer: 146, 3\/4, -2\/5, -1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 + -59 + 4389\/(-147))\/(((-52)\/14)\/(-2)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521*p**3 - 4*p - 5*p + 1 + 427*p**3 + 0*p + 7*p to m + v*p + j*p**3 + r*p**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-26)*g*g**(-31\/4))\/(g**22*g*g)**(-1\/39) assuming g is positive.\nAnswer: g**(-1671\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 11922.\nAnswer: -3576.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -9?\nAnswer: -100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 9. Let f be i(3). Let k = f + -18. Let c = k + 85. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.4 (b) 0.74 (c) 1\/5 (d) -3 (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(8\/(-6)) + 36. Let v = a + -17. What is the remainder when v is divided by 18\/4*(-2)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67533 is divided by 1277?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) 2\/3 (b) 7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-3)\/(-2))*-1. Let q be ((-26)\/52)\/(15\/(-6)). Which is the nearest to w? (a) q (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3755340 and 3720?\nAnswer: 7510680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79\/11 - (93\/(-33) - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -4 + -13 + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -135*y**3 + y**2 - 1. Let g be n(-1). Suppose -3*w - l = 66 + 185, 253 = -3*w - 2*l. Let x = -68 - w. What is the greatest common factor of x and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/(-133) + (-188)\/(-14). Suppose f*h - h = -78. Let k = h + 12. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101000 + -101000010001001?\nAnswer: -101001010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 10 - 22. Suppose 0 = -f + 13 - 9. Suppose v + 22 = 5*h - 2*v, -f*v + 4 = 0. What is the remainder when g is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1369 and 254227.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:40 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7 and -39\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19599, 78546, 176783, 314304, 491103, 707174?\n\"Answer: -a**3 + 19651*a**2 + a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + -16 - (2 - -1). Calculate the remainder when ((-18)\/z)\/(-9*(-6)\/(-180)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546216672.\nAnswer: 2, 3, 5689757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1050)\/420*(-5)\/((-35)\/2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1485828 divided by 495276.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 - 2)\/1)\/(-3). Suppose -4*p - 5*k = 68, -5*p - 4*k - 94 = -g*k. Calculate the common denominator of (-4)\/p + 2306\/(-1188) and -77\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, e: 2, v: 9}. Give prob of picking 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 334598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - y + 1. Let n be g(-3). Suppose -n*l = -l - 6. What is the second derivative of -l*c - c**3 - 8 + 8 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 20*j - 521. Let a(d) = -d**2 + 5*d. Let n(y) = -a(y) - t(y). Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + 3*4*sqrt(98) + sqrt(98)) - (-4 + (sqrt(98) + 2*(1 + sqrt(98)) + sqrt(98) - sqrt(98)) + 6*(sqrt(98) + 0)))**2.\nAnswer: 112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-34 - (-6513)\/195)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 31*u**4\/12 + 41*u**2\/2 + 27*u. Differentiate m(v) with respect to v.\nAnswer: 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3827550 divided by -1343?\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1404683 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 4*y. Let c = -75 - -72. Determine n(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4052, -8116, -12180, -16244, -20308, -24372?\nAnswer: -28436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 210504736?\nAnswer: 210504742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 20. Suppose -r = 5*x + 2*r - 4, -5*x + d = -5*r. Calculate the highest common divisor of x and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v. Let h(k) = 9*k. Let f(o) = -3*h(o) - 7*l(o). Let p(j) = -1 - 6*j + 3 + 14*j. What is 6*f(i) - p(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 + 3*t + 1. Let g(p) = -90*p**2 - 32*p - 10. Let s(j) = 6*g(j) + 68*q(j). Factor s(c).\nAnswer: 4*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 2*n - 6*n + (2*n - 3*n + 3*n)*(-1 - 2 + 2))*(396*n + 5*n**2 - 396*n) to the form k*n**3 + v*n + c*n**2 + d and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 486557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 2. Let m(b) = -b. Let i(l) = 6*m(l) - t(l). Let s be i(2). Let w be s\/2 + (-4 - -4). Solve -3*u - 2*u = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-3\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 46*j - 61. What are the prime factors of y(3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a**3 + a**3)*(-4*a - 4*a + 6*a) + (0*a**2 + 0*a**2 + 2*a**3)*(-175*a + 175*a - 2*a**2) + (a**3 - 3*a**3 + 4*a**3)*(a**2 + 5*a**2 - 3*a**2).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let r be (12\/10)\/3*-10. Which is the closest to n? (a) 0.1 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d - 4236 - 875. Put 3, -5, d in ascending order.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 21.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 122*t + 4. Let a(y) = 123*y + 4. Let b(f) = -f**2 + f + 4. Let d be b(0). Let x(i) = d*w(i) - 3*a(i). Let p be x(-6). Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(12\/15))\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(1\/3)))\/(y*y**2*y))\/(y**(-3\/2)\/(y**15\/y)) assuming y is positive.\nAnswer: y**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:23 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 - -1533\/8. Which is the closest to 0.1? (a) t (b) -2\/19 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 5*h - 13*s - 7790, 4*s = -h + 1539. List the prime factors of h.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110010100000110100111 (base 2) to base 15\nAnswer: 4e1c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6773 and 5031.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*s - 6257, 5*s - 25103 = -u - 3*u. Suppose 74*h + u = 81*h. Calculate the greatest common divisor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -9, -2, 4 in ascending order.\nAnswer: -9, -2, -2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - 101. Let w = f - -152.00033. Round w to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + (0 - -3) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -4*b - 0*b, 5 = -3*b - z. Suppose b - 1\/2*t**2 - 3\/2*t**3 - 3\/2*t**4 - 1\/2*t**5 + 0*t = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(-1*sqrt(7)) - (sqrt(17) + 1)*-3) + -1*(sqrt(102)*-3)\/sqrt(6).\nAnswer: 3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/102 - -113\/1122. Let x = -25\/33 + p. Let q = -9 + 9. What is the closest to x in q, 0.5, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34600444889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*n**4 + 2\/3*n**3 + 0*n + 0 + 0*n**2.\nAnswer: n**3*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) - sqrt(156)*-1))\/(-1*sqrt(588) - sqrt(588)).\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4084076 - 3?\nAnswer: -4084079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:00 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/26*(-312)\/2002*66\/(-12). Is s > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.2636.\nAnswer: 0.02636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - 1. Let w(t) = 0 - 3*t - 8 - 16. Let g be w(l). What is the highest common factor of 36 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 106. Let x = p - -199. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let v = -2 + m. Let h = v - 0.13. Round h to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/260945 and 17\/75.\nAnswer: 3914175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 79 and 5.8.\nAnswer: 458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*g**3 + 2*g**2 - g - 79 wrt g?\nAnswer: -384*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2537*4.\nAnswer: 21.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 14 = h - 3*h, g + 2 = 2*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iifu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127212?\nAnswer: 2, 3, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 114\/(-22) + (-56)\/(-308). Which is the third biggest value? (a) 0.1 (b) -0.1 (c) u (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1715\/(-225) - 6\/(-15) and 51\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*k, -3*k + 9*f = 10 + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/60 + 15*u**4 - 1151*u**3\/6 - 673*u**2. Differentiate f(p) with respect to p.\nAnswer: 2*p + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 200\/60*(-6)\/(-4). Let s(f) = -f**3 - 11*f**2 - 17*f + 13. Let l be s(-9). Solve p*u + 4*c - 7 = -0*u, -l*u = 4*c - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -3. Suppose c = h*c - 429. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30505 (base 6) to base 13.\nAnswer: 1b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -18\/81403 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u - o = -680, -4*u = -2*o - 530. Let c = -1068 + 711. Let v = c - -384. Calculate the highest common factor of v and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -159 (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1824404.7 and 34.\nAnswer: 62029759.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3855 = -5*f + 86679, -f + 4*q + 18120 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 + b**3\/6 + 6*b - 9. Let h(d) be the first derivative of j(d). Let x be h(1). Solve 3*a + x + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006765 to seven decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 332629 and 33.\nAnswer: 997887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-2 + 15 + -1) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let r = 55 - 51. Suppose -2*m - 4 = -2. Let f(l) = 6*l + 1 - l + 0*l. Give m*f(z) + r*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*p**4*q**3 + 204283*p**4 + 2000961*q**3 wrt p?\nAnswer: -32*p**3*q**3 + 817132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 3 (b) 25\/6 (c) 3\/19 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1*3*(-2)\/3)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -68. What is the fourth smallest value in -2, 1, n, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 72 = 0. Let n = 14 + h. Calculate the remainder when n is divided by (11*-1)\/((-2)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6685845 divided by -5?\nAnswer: 1337169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 233.6913182 and 0.03376?\nAnswer: 233.6575582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.282459 times -2.4\nAnswer: -0.6779016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -23 - (4 - (30 - 11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26221527 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15088012?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r - 92. Calculate l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**7*x**(-5)\/x**(-3\/10))\/(((x*x*x**(1\/3)*x)\/x)**(3\/20))**(-14\/13) assuming x is positive.\nAnswer: x**(-281\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783 >= 5781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11986628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/((-2)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.03 and -8416169.\nAnswer: -8416167.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/5, 464, 8\/5, -11\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*k - 3*k + 4970, 0 = -3*k - l + 2968. What is the third derivative of -k*q**5 + 990*q**5 - 37*q**2 - 36*q**6 - 16*q**2 wrt q?\nAnswer: -4320*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r*r**7)*r**3\/r*(r**15)**(6\/19) assuming r is positive.\nAnswer: r**(-43\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1995320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -36. Let j(p) = p**3 + 5*p**2 - 5*p + 1. Let u be j(-5). Let k = v - u. What is the highest common factor of 35 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63842b + -4?\nAnswer: -638433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (173 - 15) + (-574 - -519)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let t(p) = 922*p**2. Calculate u(t(c)).\nAnswer: -2766*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84, 0.1, -0.8247?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44902010 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -6*r + s*r + 25 = -y, 0 = -2*y - 2. Let u = 6 - -8. What is the remainder when u is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, -1, 4, 103, -2, 3 in descending order.\nAnswer: 374, 103, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4*q**3\/3 + 4*q + 10. What is the remainder when p(-3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 9. Let p(t) = -6*t + 12. Let h be p(6). Let d = h + 17. Let v be o(d). Solve v*x + 4*l = -l + 9, -2*x + 2*l + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106 = 14*j - 896 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/31)\/l**2)\/(l*l**(-30)*l*l*l)**(-42\/11) assuming l is positive.\nAnswer: l**(-34578\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 17.6. Let z = l - -16. Let w = z - -1.8. Which is the nearest to w? (a) -1\/5 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**3 + 8*g**2 - 7*g - 15. Let j(n) = -9 + 2 + 4*n**2 + 2*n**3 - 6*n**3 - 3*n. Let x(q) = -7*j(q) + 3*z(q). What is x(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((3*sqrt(68) + sqrt(68))*-2 + 1))**2.\nAnswer: -512*sqrt(17) + 69648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 43*g + 284. Let p be f(39). What is the common denominator of 22\/3 and ((-4720)\/p)\/(-7 + 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 + 310. Let p = -1.4 - 0.6. Let l = 0 + p. Which is the second biggest value? (a) 3\/5 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Suppose 4 = -4*d, f = 3*i + 4*d - 2*d. Let s = i + 1. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85381475.\nAnswer: 5, 41, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -50. Solve -4*f = f + 4*h - 11, -5*f + v = -4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 2*c**3 + 0*c - 31*c**3 - 32*c**3 - 56*c**3 + (0*c + 0*c + c**2)*(3*c + c - 6*c))*(-4 - 3 + 4) as h*c**3 + r*c**2 + z*c + q and give h.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (4 + -7) - 0. Suppose -8*u + 6*u + 8 = o. What is the units digit of 2\/4 - (-14)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2 + 16*p + 2 + 8 as w*p + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4781.9998206 - -4782. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 144.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 9049964*s - 9049962.\nAnswer: -2*(s + 1)*(s + 4524981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, -5, -29 in increasing order.\nAnswer: -385, -29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddp when three letters picked without replacement from ddppdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496434 divided by -2.\nAnswer: 248217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152370 is divided by 36759.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r**2 - 3*r**2 - 1 + 10*r**2. Let v be m(1). Let u = v - 20. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348 divided by 126.\nAnswer: -674\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10066 at least 10063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 1501497, -2 in increasing order.\nAnswer: -2, 83, 1501497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 391639284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116371907 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**7\/2520 + 43*f**4\/12 - f**2 + 121*f. Let y(v) be the third derivative of g(v). Let o(i) = -19*i. What is y(o(r))?\nAnswer: 361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -32 + (16 + -51 - -53).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 30 = -2*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 + 62*h + 1388. List the prime factors of t(-45).\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3711 - -25?\nAnswer: 3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 3720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 82?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131549317 to the nearest integer?\nAnswer: 11469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 31132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*w - 279, 4*q + 0*q + 4*w = -280. Let l = 70 + q. Which is smaller: 12\/17 or l?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6418 or -6412?\nAnswer: -6412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 868059 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v - 1652. Let r(b) = -5*b - 1665. Let j(p) = 4*r(p) - 3*s(p). Let f(c) = 2*c**2. Determine f(j(m)).\nAnswer: 2*m**2 - 6816*m + 5807232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.13, -0.1, -2\/3, 0.058, -12, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 14 + 18 + 20 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -4\/5, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1417*d**5 - 33*d**3 - 65*d**2 - 66382702*d?\nAnswer: 28340*d**3 - 198*d - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 34 = -4*t. Let r(c) = -c - c**3 - 401 - 7*c + 407 + 8*c**t + c. Let s = 4 + 3. Determine r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 1776\nAnswer: 17.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/56 + 9*r**7\/70 - 2*r**6\/5 + 7*r**5\/10 - 3*r**4\/4 + r**3\/2 - 5*r**2. Determine t, given that w(t) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965 + 5*o + 965 + 3*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7*u = 9*u + 4, 9 = -3*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 155 = -2*v, 0 = -2*f - 3*v - v + 78. Suppose 137 = 4*o + f. What is the remainder when 53 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5) + -1 + 0 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -2*u + 392, u - 592 = 3*j. Let i = -202 - j. Let k(h) be the third derivative of h**5\/60 - h**3\/3 + 7*h**2. Give k(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 3*(-2 + sqrt(200)))**2*6*1.\nAnswer: -1800*sqrt(2) + 10950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10102)\/6*((-55)\/(-22) - 3). Let h = 851 - c. Factor -h*t - 5\/6*t**3 + 25\/6 + 35\/6*t**2.\nAnswer: -5*(t - 5)*(t - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4229*x**2 + x**3 - 4229*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 2157*h**3 - 1550883*h**2 - 371694959*h.\nAnswer: -h*(h + 719)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 565. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 4\/3 - 3\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1294.9 - -1295. Sort -1\/6, 1, -2, k in decreasing order.\nAnswer: 1, k, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -5, -91, 114, -3, 6 in decreasing order.\nAnswer: 114, 6, -1, -2, -3, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 7*l + 4. Let z be i(7). Suppose z*v - 9 - 31 = 0. What are the prime factors of (-2)\/10 + 122\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -364\/5. What is the second smallest value in -2\/11, 5, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 11*g. Suppose 7*h + g*h = -42. Let p(i) = -2*i - 3. Determine p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16054567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + -2 - (-113 + 107)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 64\/11, -22349 in descending order.\nAnswer: 64\/11, -3\/7, -22349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301 by 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 91*n**2 + 220*n + 11. List the prime factors of b(28).\nAnswer: 19, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/35 + 20\/50. Is (9 + (-4 - h))*52527\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72920069 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomsuazzozom. What is prob of sequence oz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 637 - 317. Suppose -3 = -3*d, 2*y - 2*d = 630 + v. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1591439 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z. Suppose 2*n = -f - n - 15, 4*n = -3*f - 20. Suppose 3*w + s - 8 = -0*s, -2*w + 4*s - 4 = f. Solve 0 = w*o - z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Let b = i + 3. Suppose b*l - 40 = 2*l. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2218818546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (26 - 18 - -13) + 16. Let g = -2 + 0. Is g smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let d(o) = 0*o**2 - 5*o**g - 1 + 4*o**2 - o. Suppose 3*f + 3 = -3*y, 0 = -4*y + 6 + 2. What is d(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuzuzuuuzuuuuuzuuz?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*g*p**3 + 444*g - p**4 + 3*p**3 + 2*p wrt p?\nAnswer: -726*g*p - 12*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogxrxjxtjrooxojoxro. What is prob of picking 2 x and 1 r?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (52\/65)\/(2\/5). Let q be (1 + v)*(-1 + 5). Suppose 8*m - q*m + 256 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564 + -548. Suppose -2*t + 14 = -4. Calculate the remainder when (33\/4)\/(t\/48) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 270834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -33\/4. What is the second biggest value in 0.1, 1\/18, t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -5 + 2 - (3 + -1*sqrt(200) + sqrt(200) + 3)**2)*-3.\nAnswer: -24*sqrt(2) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14363162?\nAnswer: 2, 11, 652871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04372 and 2582450470?\nAnswer: 2582450469.95628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -962*0.5.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*v - 6*f**2 - 317*f - 1193*v wrt v?\nAnswer: -f**2 - 1193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.47, -4, 0.2, 4\/9, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1544076 - -25?\nAnswer: -1544051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 155\/465 - (-34)\/(-138). Which is the nearest to k? (a) 2 (b) -4\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 - 225*i**3 + 1134*i**2 + 1336*i\/3 - 5440 = 0. Calculate i.\nAnswer: -680, -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 2*w**2 - 3*w**2 in the form y*w + v*w**2 + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/198*(-6*2\/6)\/(-1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 7511490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**20*g**(-3\/8)*g assuming g is positive.\nAnswer: g**(165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.71043 litres to millilitres.\nAnswer: 35710.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 27442.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/(18\/(-75))*12 - 112\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 10*v + 23. Let p be b(7). Let g(q) be the first derivative of 0*q - 1 + q**p + 2\/3*q**3. Factor g(h).\nAnswer: 2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 28*h**2 + 2*h - 31. Determine b(28).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -41, -2, 10, 3 in descending order.\nAnswer: 10, 3, 1, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 7*k**2 - 6*k + 1. Let u be c(-6). Suppose -s + u = -2. Suppose -s = -3*d - 0. Solve d = -0*v - v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2528370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 - 8*i - 8. Give k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 19*j = 73, -116*y + 120*y + j = 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1496, -5435, -11818, -20645, -31916, -45631, -61790?\n\"Answer: -1222*v**2 - 273*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31497 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -9 - -47 - (-16 - (3 - 7)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.66 + 71.36. Let n = -1326\/7 + 189. Which is the third biggest value? (a) 0.06 (b) 0.12 (c) s (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85012*p - 234*p**2 - 85012*p)*(-3*p - p + 5*p) to s + n*p**2 + d*p**3 + w*p and give d.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:25 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -124*h - 14*h**3 + 69*h**2 - 108 + 208 + h**4 - 16*h = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 69.1. Let x = 3 + 1. Suppose -4*o = 4 + x. Which is the biggest value? (a) 0.3 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402 + 869. Suppose 41 + u = 4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72e - 7348?\nAnswer: -6c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5277280867.\nAnswer: 19739, 267353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17223*r**2 - 4*r - 4. Let o(g) = 7*g - 1. Let i be o(1). Let z be j(i). What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10476*d**3 + 16082*d**3 - 5607*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9265 and 45011?\nAnswer: 417026915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 10*n - 12*n - 6, 12 = -4*n + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + sqrt(98) + -2*sqrt(98) + sqrt(98))\/sqrt(2) + sqrt(196)*1)\/(sqrt(175)*-2*5).\nAnswer: -3*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 72. Let r be x(0). Suppose -4*w = w - 55. Let a = 20 - w. What is the highest common factor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*t - 10, -3*t + 3*i = -1 - 11. Let n be (t\/(1\/(-1)))\/(5\/(-10)). Suppose 4 = -z + 2*o, -18 = -2*z - z - n*o. Solve -z*m + 0 - 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/58)\/(-1) - 8541\/(-23751).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48943412 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-83)\/(-2)*(-10)\/(-3 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 4609*b**2\/4 - 5755*b\/2.\nAnswer: -b*(b - 2302)*(2*b - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**3*z - 1068503253*y**3 - 136199149*y**2*z**2 wrt z?\nAnswer: y**3 - 272398298*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -174*l**2 - 11*l - 29. Let c be p(-3). Suppose 0*f = 5*f - 4210. Let g = c + f. Round g to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 427 + -431. Let p = -119 - -108. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*(s\/(s**5*s*s))\/s)\/(s\/s**(-6)*s*s*s**7))\/((s*s**(2\/7)*s)\/s**(-3\/4)*((s**0\/s)\/s)**7) assuming s is positive.\nAnswer: s**(-477\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-72)\/(-9))*(0 + 68). Solve -f*l - 4 = -38*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -5*z**2\/2 + 1. Let w(i) be the third derivative of 0*i + 11*i**2 + 0*i**3 + 0 + 0*i**4 - 1\/60*i**5. Give w(f(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -62, 0.3, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 18\/(-27) + 12742\/6. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 14*m**2 + 140*m + 136. Determine i(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26*(1\/3)\/(9\/(-27)). Let m be 2\/b - (-35)\/117. Put -3\/5, 1\/5, m in ascending order.\nAnswer: -3\/5, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2635757, 10543029, 23721809, 42172091, 65893869, 94887137?\n\"Answer: -f**3 + 2635760*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1977040 and 33115420.\nAnswer: 132461680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 4. Let r(b) = b**2 - b - 2. Let a be r(n). Factor 1 + a + 4*m**2 + 0 - 4*m - 2*m**3 + m**2.\nAnswer: -(m - 1)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**2)\/m*m)\/m)**(6\/13)\/(m**(-8))**13 assuming m is positive.\nAnswer: m**(1370\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Let o = -10 - -8. Let t be d(o). Let k = -22 - -42. Calculate the greatest common factor of t and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -0*p + 22*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/5)\/(i\/i**(-4\/21)))**27 assuming i is positive.\nAnswer: i**(387\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11255 + 134911\/12. Calculate the common denominator of n and (-3 - 56\/(-18))*-38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-18)*(-54)\/6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 1. Let u(x) = 7*x**2 + 8. Let q(f) = -24*d(f) - 3*u(f). Let k = 2 + 0. Let p(s) = -6*s**2 + 3*s**2 + 0*s**k. Give q(p(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -346, -345?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7710 + 154137\/20. Let c = -503\/100 - q. Calculate the common denominator of 22\/9 and c.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-1\/3)\/j))**10\/((j**0\/j)\/j*j**(-3\/5)*j*j*j) assuming j is positive.\nAnswer: j**(344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 - 3*y**2)*(-y - 2*y**3 + y) - 3*y**2 + 3*y**2 + y**5 - 3*y**5 + 6*y**5 - 5*y**5 + (-6*y + 4*y + 4*y)*(-10*y**3 - y**4 + 10*y**3).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 - 18*l + 13. Let x(z) = 4*z**2 - 18*z + 12. Let q(a) = -5*r(a) + 6*x(a). Is q(-9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783715 is divided by 783685?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 - -262?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 101?\nAnswer: -8\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**4 + 2*n**4 - n**4 + (-5*n**2 + 5*n**2 + 2*n**4)*(1 - 2 + 4).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -1) + 1\/(-4)*0. Let h(t) = -10*t + 50. Is h(l) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (52 - 73)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 5. Let f(w) = -w - 4. Let s be f(o). Let r be (1 + -26)*(-6)\/15. Solve -2*b + r = s*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.06 + -1.01. Let l = -0.05 + o. What is the third smallest value in -2, 0.2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 0 + 0 + (1 + 1 - 5)*(-6*s**3 + 4*s**3 + 16*s**3) in the form q*s**2 + k*s**3 + l + a*s and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 6*q - 11*q. Solve 4*s = -0*s - q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14655a - 15?\nAnswer: -146573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10317*d**6 - 18*d**4 - 6*d**2 + 107*d - 49.\nAnswer: 1238040*d**3 - 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15444, -15870, -16296?\n\"Answer: -426*m - 15018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = -5*n. Suppose 0 = 3*c - 3*p - 78, -2*c + 0*c - n*p + 59 = 0. Suppose 68 = 5*r - c. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6933039mg to grams.\nAnswer: 0.0006933039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*h + 4*x = 242*h - 76, -4*h + 4*x = 36. Let u(w) = w**2 + 9*w - 117. Give u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6719*r + 3363*r + 3346*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4008 in -1\/2, 1, -2, -134.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*g = -442, 4*g = -k + 134 - 28. What is the remainder when k is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9*k + 9 = 6*k, 4*k + 10 = -2*u. Sort -5, 1, -2, u in decreasing order.\nAnswer: 1, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*d = -6, 5*n - 5*d + 7 - 22 = 0. Sort n, -2, 1, 5 in increasing order.\nAnswer: -2, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3491088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7008710 is divided by 1865?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 - 3)*(d - 3 + 3) - 2*d + d - 2*d)*(5*d - 5*d - d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 13*p + 8. Let w be b(13). Let m(x) = 2*x**2 - 5*x - 18. What is the units digit of m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 1, q: 7, t: 4, l: 3, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f + 0*f**3 + 2*f**2 - f**3 - 112320 + 112344 = 0. What is f?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 + 3*m**3 - 5*m**2 - 10*m + 1. Let k be g(-10). List the prime factors of (-32)\/(-20)*k\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**3 - 6*o + 6. Let y(m) = -m**3 - m + 1. Let f = 6 + -14. Let w be (3 - (-6)\/(-6)) + f\/1. Give w*y(p) + j(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 2 (c) -10 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/4*48\/24. Let a = o + -19. What is the least common multiple of a and (-2)\/(-8) - (-47)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -810, -89 in increasing order.\nAnswer: -810, -89, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15097873, 30195748, 45293623, 60391498, 75489373, 90587248?\n\"Answer: 15097875*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 16 = -5*j - 2*r, -j - 14 = -5*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, -290, -801, -1488, -2357?\n\"Answer: -f**3 - 79*f**2 - 97*f + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212095000 rounded to the nearest one million?\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/4 + i**3\/3 + 4*i + 2. Let s be f(0). Suppose 2*x + 2*a - 22 = 0, 0*x + s*a = 2*x + 2. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -l + 5*h - 0*h, -20 = 5*l + 2*h. Let y be 2\/(-5) - 64\/(-10). Is (-8)\/y*303\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 96, 141, 182, 219, 252?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2584\/23319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 16*o**2 + 3*o + 53. Let i be d(-16). Suppose 3714 = 2*s + i*k, 0 = -3*s - 4*k + 5190 + 367. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*x**4 + 3*x**5 + 9*x**4 + (10*x - 10*x - 10*x**3)*(-x - 2*x**2 + x) + (-5*x**2 + 5*x**2 + 3*x**4)*(-3*x + 3*x - 2*x).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*x - 42 = 2*x, -5*x + 15 = 5*p. Suppose 0 = q + 2. What is the least common multiple of (q + (-16)\/(-6))*9 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002457 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33157382 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724*a*g**3 - a*g - 65*a + 137*g**3 - 1944*g wrt g.\nAnswer: -4344*a*g + 822*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133 - (-4 - -5)) + 288 + -328.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 16029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z**2 - 94*z + 12. Determine v(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 11*g + 40. Let r be m(-13). Let u = r + -92. Let p = 251 - u. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - 1362?\nAnswer: -131b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*i + 75 = 162*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/7 + 24*w**2\/7 - 45*w\/7 + 22\/7 = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 457348038 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 8c0?\nAnswer: -8bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 5654\/36695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vljg when four letters picked without replacement from {g: 2, b: 1, l: 3, h: 3, j: 1, v: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 8*t - 8. Let k be q(6). Let n(w) be the second derivative of -w**5\/20 + w**4\/4 + 7*w**3\/6 - 5*w**2\/2 + 4*w. What is the units digit of n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 927161790 divided by 10\nAnswer: 92716179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -101480?\nAnswer: 101478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eecccec. Give prob of sequence cee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + -51. Let d = f - -1289. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 35 + (-58 - 8)*(-2)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:49 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/4 of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 2*c - 10*c)*(5 - 3 - 4) - 2*c + 2*c + 3*c + (3 - 1 - 4)*(3*c - 3*c - 2*c) - 6*c - 5*c + 5*c in the form w*c + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/2 + 2*f**3\/3 - f**2 + f + 1. Let a be 1\/(8\/6 + 2\/(-6)). Let y be c(a). Is -7 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - w**2 - w - 1. Let t be b(-1). Suppose -s + t*s - 24 = 0. Let k = 41 - 33. Calculate the highest common divisor of s and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kteptefftkfbkpk. What is prob of picking 2 t and 1 f?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 4*m**2 + 4*m - 2. Calculate p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44139, -87793, -131449, -175107, -218767, -262429, -306093?\n\"Answer: -b**2 - 43651*b - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990 is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 550 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 2*s, -5*x = 5*s + 35. Let m be 6\/16*x\/(-6). Let u = 15 + -15.4. Put u, -0.3, m in ascending order.\nAnswer: u, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 3*f + f - 1. Let m be n(1). Let -2\/7*a**3 + m - 4\/7*a**2 - 2\/7*a = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68062 times 49.3?\nAnswer: 3355456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + 1. Calculate the lowest common multiple of 10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27769, -142 in increasing order.\nAnswer: -27769, -142, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k - 21. Suppose 5*u - 2*f = 88 - 14, 0 = u - 3*f - 20. What is the units digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - k + 21 + 86, 3*k + 9 = 0. Let b = -41 - c. Suppose -4*n + q - 2*q = -b, -2*n = 4*q. Solve 2*o - n = 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5669496 divided by -24.\nAnswer: 236229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*p + 6*p - 10, -p + 4*f - 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(567) + -2 + sqrt(567)))**2.\nAnswer: -648*sqrt(7) + 20448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 4*w + 2*w + (3*w + 0*w - w)*(1 + 0 + 0) - 29*w + 13*w + 18*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let f = 64555 + -19818383\/307. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4984, 4960, 4936, 4912, 4888?\n\"Answer: -24*l + 5008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 0.149, -5, 0.6, 1245?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 7. Suppose w*g = -184 + 1182. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(6\/25))**(-27)*(((g\/(g\/(g\/g**24)))\/g)\/g)\/(g\/(g*g\/g**27)))**(-2\/23) assuming g is positive.\nAnswer: g**(3576\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 13*p - 146 - 221 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:29 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 23*n**2 + 28*n + 57. What are the prime factors of r(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 265. Let s = 216 + i. Let w = s + -152. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z**2 - 15*z + z**2 + 2 + 8*z + 3. Let y = 328 + -332. List the prime factors of d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 242.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 609036 or 609038?\nAnswer: 609038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5396 + 17120 = -52*j. Let q = -433 - j. Factor 5\/2*h + q - 1\/2*h**2.\nAnswer: -h*(h - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20 in 0.1, -2\/7, 20615?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 745\/6 + -125. Let i = -198 - -198. Which is the second smallest value? (a) i (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 4*m. Let t(u) = 4*u**2 - 7*u - 1. Let k(x) = -5*r(x) + 3*t(x). Is k(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1258? (a) -14 (b) -4 (c) -0.55 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -76\/202975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 30 = -3*m, -o - 12 - 6 = -3*m. Let t be (o\/9)\/((-5)\/30). Factor 4*w - w**3 - 128*w**t + 128*w**2.\nAnswer: -w*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110434010421 - -2?\nAnswer: 110434010423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**2 - 12\/7*i + 18\/7.\nAnswer: 2*(i - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -10.80502?\nAnswer: -2.4851546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34615987 is divided by 123?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 12:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 y when four letters picked without replacement from {z: 1, a: 1, y: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -167*v**2 + 3*v - v + 139*v**2 + (0*v**2 + v**2 + v**2)*(1 - 1 + 1).\nAnswer: -26*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrfr when four letters picked without replacement from {l: 1, f: 5, w: 3, r: 4, m: 1}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2200.774 + -2199. What is v rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*-4*(sqrt(2299)*1 - sqrt(2299)) + 5 + -1 + (sqrt(2299) + (sqrt(2299) - -5*-1*sqrt(2299)) + -5)**2 + 3.\nAnswer: 330*sqrt(19) + 20724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - -56 - (69 - (40 - 17))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 8:01 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 812 + 517. Suppose 13*t - m = 12*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11)*y*y\/(y**10\/y)*(y*y*y**(1\/5))**(-26) assuming y is positive.\nAnswer: y**(-376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-4)*u)))**(-2\/15))**(1\/5)*((u*u**(1\/4))\/(u\/(u*u**(-6))))\/(u**(-2\/7)\/(u*u**(-3)*u)) assuming u is positive.\nAnswer: u**(-11363\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9866 + -1.0866. Do g and 6160\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -162925.9.\nAnswer: 48877.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41560 by -59.\nAnswer: -41560\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j + 1 - 8*j**3 + 8*j - 96*j**2 + 47*j**2 + 46*j**2. What is v(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 900*c**2*k*x**3 - 3*c**2*x**3 + 3*c**2*x**2 + c**2*x - 47398*k*x**3 - 8*x**3 - 63934*x with respect to k.\nAnswer: 900*c**2*x**3 - 47398*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 50*i**2 - 23*i + 182. What is the hundreds digit of r(39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -59.9. Let q = -3 - -7. Let z = 0.2 - 4.2. Which is the nearest to z? (a) -2 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.9187 * 0.25.\nAnswer: 5.229675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-795*p + 6 + 2627*p + 37 - 57)*(-p - 2*p**2 + p) to the form j*p**3 + d*p + m*p**2 + h and give j.\nAnswer: -3664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1035, -2051, -3093, -4173, -5303, -6495, -7761?\nAnswer: -9113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d + 2. Let s(l) = -3*l + 2. Let a be s(-1). Suppose 0 = a*x - x - 12. What is the remainder when x is divided by r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -400, -401, -402?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3927204?\nAnswer: 2, 3, 17, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*1\/2*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*w - 11. Is (163\/w)\/(5\/(-195)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393672513.\nAnswer: 3, 13, 10094167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37735 (base 8) to base 3.\nAnswer: -211102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i. Suppose -4 = 4*w + 6*p - 2*p, -w - 2*p = i. Let x be ((-3)\/(-7))\/((-3)\/(-2)). Which is the nearest to w? (a) x (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(4\/((-16)\/4) + 10). Let z be p - (1 - 195\/(-26)). Factor -1\/2 - z*g**2 - g.\nAnswer: -(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 15, 2\/5, 19\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907 = -253*v + 611 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1507062106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, x: 7}. What is prob of picking 1 x and 1 v?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + -17. Let k = 33.9999896 + s. What is k rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 3*b**2 + 147*b - 796. Give k(6).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 2*q**2 - 2*q + 1. Let y be c(2). Let z be (y + (-20)\/(-6))*-17769. Let g = z + 70951\/12. What is the common denominator of -49\/18 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 32558*m**3 - 4239832903*m**2\/4 - 4242860967*m + 81626813037 = 0. Calculate m.\nAnswer: -11, 7, 65118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123200 (base 5) to base 2.\nAnswer: -11000000011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 3 + -30 + 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 33*c**5\/20 + 4*c**3\/3 - 9*c**2\/2 + 73*c. What is the hundreds digit of j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 - -401. Suppose 2*t + 0*p + 101 = -3*p, -4*t = 2*p + o. Is 4 a factor of (1 - -1)*t\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5286877.7000087 + -5286878. Let t = -0.3 - y. What is t rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-2331)*261\/(-58).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (8 + 7 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2418353234?\nAnswer: 2, 11, 109925147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 - t. Let p(z) be the second derivative of 0 - 24*z + 0*z**2 + 1\/2*z**3. Calculate p(m(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 46 = 5*c, i - 2 = c - 18. Let f = -10 - i. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14619 - -44.21505138?\nAnswer: -14574.78494862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.197322 centuries to months.\nAnswer: 7436.7864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:06 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1211, -2423, -3635?\n\"Answer: -1212*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 - 17069*m**3 - 4*m**2 + 1043*m + 324?\nAnswer: -12*m**2 - 102414*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (6*-8782)\/(-4) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*a - 49, -2*a - 6 = 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44669000 divided by 4.\nAnswer: -11167250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (12 + -7 - 10) - 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - 2*sqrt(1666))\/(sqrt(4)\/sqrt(2)*4).\nAnswer: -13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 125941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 11*y**6\/12 - y**5\/60 - 31*y**4\/3 - 4*y**2 - 22. What is the second derivative of a(q) wrt q?\nAnswer: 660*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101 (base 2) in base 3?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 57.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18685880 divided by -10?\nAnswer: 1868588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 152\/2805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2580*r + 301. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2504*b - 6814 wrt b.\nAnswer: 2504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 - h + 3. Let i be t(0). Suppose i*d - 2*d - 7 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/720 - 119*c**5\/360 + 1115*c**4\/144 - 2725*c**3\/36 + 6196*c**2. Factor l(p).\nAnswer: (p - 109)*(p - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -31. Suppose w = -l*n + 167, 2*n + 182 = 4*w - 530. Let k = w - 60. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450955.8cm to nanometers.\nAnswer: 4509558000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182019 - -441896. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u + 2. Let t be p(2). Let q(o) = 5*o + 10. Let k(g) = -14*g - 29. Let f(x) = t*k(x) - 11*q(x). What is the units digit of f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 245*z**2 + 421*z - 15795. Determine q(-243).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/110 and -21\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1127 or -19140\/17?\nAnswer: -1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-372)\/150)\/(6 - (-480)\/(-75)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38918 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2. Let s be 5\/(10\/(-4)) + 23. Let g(r) = 33*r**2 - 21*r - 21. Let f(k) = -8*k**2 + 5*k + 5. Let t(x) = s*f(x) + 5*g(x). What is t(b(u))?\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -227, 0.2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 310980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from {f: 9, v: 11}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 15*l**2 + 3*l - l**3 - 30 - l**3 + 74 - 43 as c*l**4 + y + r*l**3 + z*l + a*l**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 1804.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8802 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.3732nm to millimeters.\nAnswer: 0.0002493732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 13925 = x. Let q = x + 6720. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:11 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*p + 43 = 0, -52*p = -7*i - 63*p - 106 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, -1, 4, 2 in increasing order.\nAnswer: -5, -1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(0 - 3 + 1)*(0*v + 244*v - 43*v).\nAnswer: 402*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus -0.031086858?\nAnswer: -19.031086858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 6771713?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*r + 1912 + 1783 - 3756 to v*r + w and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 637358572 by 16772594.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.44650399 rounded to 2 dps?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33390 by -265.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332*w**3*y**2 - 4*w**3*y + 2*w**2*y**4 - 55*w*y wrt y.\nAnswer: -664*w**3 + 24*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 4*g + (0 + 2 - 3)*(-g - 2*g + 2*g))*((3*g**2 + 10 - 10)*(-1 + 2 + 0) + g**2 + g - g)*(3 - 3 - 2*g)*(13*g + 7*g - 22*g).\nAnswer: 48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 12622*t**2 + 41945696*t + 13177673600 = 0. What is t?\nAnswer: -6136, -350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5576 smaller than -2336181\/419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from gnygqoo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12249218.2331+-17\nAnswer: 12249201.2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6*-11.549326\nAnswer: 69.295956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4 + 4*d**2 + 1 + (-4*d + 0*d + 2*d)*(9*d + 2*d + 5*d).\nAnswer: -28*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**11\/18480 - h**7\/2520 + h**4\/4 + h. Let n(k) be the third derivative of a(k). Find the third derivative of n(q) wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 1\/4, -128, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:33 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a328 + 7?\nAnswer: -a321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 34 = -2*c - 26, -2*c - 4*j = 48. What is the remainder when 13 is divided by 6\/(-12)*c\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 2. Let z = 2064 - 2058. Sort z, -5, a.\nAnswer: -5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6683, 6686, 6689, 6692, 6695?\nAnswer: 6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 387.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (-91 + 37)) + -2 + 1 + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.206 * -1584.3.\nAnswer: -326.3658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -116000 to the nearest one thousand.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/((-12)\/(-196))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ototo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13127*a + 1562104. Calculate m(-119).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -139*q + 589. What are the prime factors of r(-27)?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5512 is divided by 121.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86082751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*306\/170.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -974 - -977. Let l(i) be the third derivative of 0 + 0*i + 1\/8*i**4 - 7\/3*i**p + 2*i**2. Find the first derivative of l(f) wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21290 + -8882. Calculate the highest common factor of 528 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.07065 kilograms?\nAnswer: 0.00107065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(((-2600)\/(-39))\/(-20))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46009*j = -45908*j - 5757 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-3 - -4) + -1 - -2. Let s = z + 2. Solve -p + 5*g = 9, -p + 5*g = s*p + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859513.5 kilometers to millimeters.\nAnswer: 859513500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 296857*a**2*c + 3*a**2 + 3*a*c - 2*a - 216*c wrt a?\nAnswer: 593714*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 369 = 2*h - 15*a, -3*h - 5*a + 2587 = 2953 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -299167227, -598334455, -897501683, -1196668911, -1495836139?\n\"Answer: -299167228*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*1 + 5)*3)**2 + (3 + sqrt(450)*-2)**2 + sqrt(450)*-1 + -2 + -2.\nAnswer: 1155*sqrt(2) + 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 8156760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69484455 is divided by 2779378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0*d**6 - 2*d**4 + 103*d - 16\/21*d**7 + 0*d**2 + 0*d**5 + 0 + 0*d**3. Find the third derivative of f(v) wrt v.\nAnswer: -1920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 44*r - 32. Is 5 a factor of i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 4*i - 4. Let v(h) = 15*h**2 - 21*h + 21. Let k(j) = -j**2 + 4*j + 1. Let x be k(3). Calculate x*v(l) + 21*m(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 282721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32241835 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywyqmmayqmy. Give prob of sequence yyym.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.102 + -1.603. Let v = 12.379 - w. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o**3 - 7*o**2 + 92*o**2 + 39228 - 39228 + 10*o - 85*o**4 + 45*o**5 = 0 for o.\nAnswer: -1, -1\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -85, -175, -279, -391, -505, -615?\n\"Answer: u**3 - 16*u**2 - 29*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6)*(17*y + 0*y + 7*y)*(-y + 3*y + y).\nAnswer: -432*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19206*d**3*s**3 - 73*d**3*s**2 + 2*d**2*s**2 - 2*d*s**4 - 24*d*s**3 - 45553*s wrt s.\nAnswer: -115236*d**3 - 48*d*s - 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -178 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-9) + 3 + (-175)\/63. Let y(r) = r**3 - 6*r**2 - 20*r - 32. Let f be y(g). What is the highest common divisor of f and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*d + 15, 3*d - 2216*f + 2221*f = -13. Factor 1372\/3*c**5 - 672*c**3 - 640\/3*c**2 + 0 - 64\/3*c - 1568\/3*c**d.\nAnswer: 4*c*(c - 2)*(7*c + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-804)\/(-335))\/((-8)\/(-25)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 6440.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 42.26424m?\nAnswer: 0.04226424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from lgllg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93582030*d + 42247734 with respect to d.\nAnswer: -93582030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 41947 - 377947. Round h to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:39 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*l - 22, i + 4*l = 12 + 4. Solve -3*k = -3*d - 4*k + 14, 0 = i*d + k - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:17 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*z - 618. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1\/4, -7744, -15, 1\/7 in ascending order.\nAnswer: -7744, -15, -4, -1\/4, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 617555\/18 or 34308?\nAnswer: 617555\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, b: 2, j: 3, u: 5, k: 3}. What is prob of sequence bfj?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1843\/470 + -1\/47. Let b = 5329 - 58579\/11. Calculate the common denominator of w and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 8*n - 5. Let v = -17 - -10. What is q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 40*n**2 - 128*n - 66. Let f be k(-36). Let a(i) = -3*i**2 + i + 4. Let d be a(-4). Find the common denominator of -99\/4 and -4 + f\/3*4\/d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 9*l = 6732. Calculate the remainder when l is divided by 107.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 4*j**2 + 5. Let q(n) = n**2 + 5*n - 4. Let a be q(-5). Let p be i(a). Solve -20 = -p*f - 0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/(455\/(-52))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 135*m - 142*m + 8 - 2. Let g(t) = 20*t - 17. Suppose -a + 2 = -4. Determine a*g(v) + 17*r(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277808119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:48 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -f + 839*j - 842*j, f = 2*j - 11 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7245603 is divided by 741.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, 72, 323, 792, 1551, 2672, 4227, 6288?\n\"Answer: 12*o**3 + o**2 + 18*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**2 - 2*m - 5. Let q be ((-12)\/8)\/(-3)*2. Suppose r + 3 = h + q, 0 = 2*h + 4*r - 28. Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -34. Let v be ((-20)\/i)\/((-1)\/10). What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/17)\/p)\/(p\/(p\/(p*p**(-4\/7))*p)*p))**(4\/11) assuming p is positive.\nAnswer: p**(-512\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 21\/2*n**2 + 13 - n. Differentiate f(x) wrt x.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 27 = 0. Suppose -4*g + 33 = m. Let c be g\/(-9) + 16498\/(-3). Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3878580 is divided by 2180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:10 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1612*w + 425558. What is l(264)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (3\/9 - 57\/(-18)). Which is the nearest to q? (a) -2 (b) -1\/5 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 + 140. Does 11 divide (-4694)\/(-18) - (d\/36 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/i*i*(i**(-7)*i)\/i*i*i\/(i\/i**(-8))*i\/(i**(1\/4)*i*i) assuming i is positive.\nAnswer: i**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**6 + u**3 + 2*u**2 - u. Let a(f) = -20*f**4 + 5*f**3 - 96*f**2 - 5*f - 1. Let o(z) = a(z) - 5*n(z). What is the third derivative of o(i) wrt i?\nAnswer: 600*i**3 - 480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 14282?\nAnswer: 71410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 505 (b) -0.2 (c) -0.1 (d) 2\/147 (e) 1\/5 (f) -0.4 (g) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/4, -0.564765?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1251425654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1687321*b**5 + 2*b**3 + 4*b**2 - 3270*b + 1 wrt b.\nAnswer: 101239260*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.5 - 20. Let n = 10.7 - 11. Which is the closest to -1\/2? (a) s (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/3 + 13555*w**2\/3 + 58825000*w\/3 + 27584762000 = 0. Calculate w.\nAnswer: -6315, -3620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549 - 545. Solve a*u - 3*h = -h + 4, 0 = 5*h - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13940 in 2\/3, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.3332 + 0.474975.\nAnswer: 25.808175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-2))\/u**(1\/5) assuming u is positive.\nAnswer: u**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 1448*a - 2880.\nAnswer: -4*(a + 2)*(a + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + i + 1. Let f be v(-2). Calculate the greatest common divisor of f and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015*n = 63509 - 3059 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 3. Let b be t(-2). Let j(n) = -8*n**3 + 6*n**2 + 4*n - 7. Let i(z) = 16*z**3 - 13*z**2 - 9*z + 15. Let v(u) = 6*i(u) + 13*j(u). Give v(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06796*0.121\nAnswer: -0.00822316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f**2 + 1. Let v = -40 + 45. Suppose -n + v*n = -44. Let m = n + 8. Calculate b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 72 (b) -0.3 (c) 0.06 (d) -4 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -57171, -3 in decreasing order.\nAnswer: 3, -3, -7, -57171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 25*g - 29*g = 10, -15 = -f - 3*g. Suppose 33 = -f*n + 168. Suppose 58 = -4*j + 6*j. Calculate the remainder when j is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161711 divided by -1053?\nAnswer: -161711\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:36 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 55*s + 608. Let p be y(-11). Which is the nearest to 1? (a) -1\/3 (b) p (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 - g - 1773. Let o(v) = -v**2 - v + 4. Give o(k) - 3*r(k).\nAnswer: 2*k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 699.19.\nAnswer: -69.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 182 = -a, -3*x + 4*x + 44 = -4*a. Let o be 4\/(-14) + x\/21. Put o, -5, 3 in ascending order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 740, 1129, 1514?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678242732 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678640542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.2, 1, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111001000111011010010 (base 2) to base 4.\nAnswer: 113020323102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/11)*n*n\/((n*n**(-3\/5)\/n*n)\/n))**(-2) assuming n is positive.\nAnswer: n**(-326\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-271.5174.\nAnswer: 8.145522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -527675 - -1?\nAnswer: -527674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 2*q**2 - 6*q**2 + (4*q + q - 2*q)*(-4 + 4 + 2*q) - 2*q - 2*q**2 + 2*q + (q + 3 - 3)*(q - q + q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*g - 73, -1032*g + 1030*g + 46 = 5*a. Solve -g*p - 10*p = 16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 5c4d0a0?\nAnswer: -5c4d0a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 2. Let k be (1\/3)\/(x\/(-12)). Let h = k + 1. Which is the closest to h? (a) -0.1 (b) -3\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f - 4*z + 132, f - 17 = -5*z. Suppose 3*k - 20 = f. Is k + (-12)\/(-8)*2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**3*b*b**(-4))\/(b**(-2\/3)*b**(1\/2)))\/((b*b*b\/(b*b*b**(-1))*b*b)**(-48)*(b\/b**(-2\/23)*b)\/b**7) assuming b is positive.\nAnswer: b**(26507\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 16911 = -3*o - 16882, -o = -4*s - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 57. Let r be 21 - -4*2\/(-5 + 1). Let u = r - w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 14. Let m be d(16). Let b be -3 + m + (-48 - (4 - 2)). What is the common denominator of b\/14 + 1 - -2 and -77\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -524, -1156, -2038, -3170, -4552?\nAnswer: -6184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 2*b + 2*b + 26 - 4*b**4 - 28 + 3*b**2 as l*b**2 + z*b**3 + u*b + a + o*b**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(132\/(-12) + 16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(300) - 2*(-1 + sqrt(300) - sqrt(300))) + sqrt(300))*-4 + 3*(-2 + 1 + sqrt(300)) + -2)*-5)**2.\nAnswer: 32500*sqrt(3) + 191725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 126 = -207. Calculate the remainder when s is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 4*t + 24*s - 158, -5*t = 3*s - 87 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5\/3 + 40*q**4\/3 - 2*q**3 - 124*q**2\/3 - 80*q\/3 = 0?\nAnswer: -20, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j*w**3 - 69097*j*w + 3218806*w**3 with respect to j.\nAnswer: -8*w**3 - 69097*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22232 + 22010200?\nAnswer: 21321302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3352329 and -17\/2234886.\nAnswer: 6704658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6889 + 2*g**5 - 4*g**3 - 6*g - 6889 wrt g.\nAnswer: 40*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1634 or 1632?\nAnswer: 1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 846*r**2 + 23192*r + 354816.\nAnswer: -2*(r - 36)*(r + 11)*(r + 448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(20 + (-3333)\/132)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, f: 2}. What is prob of sequence zzfz?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5703670 and 78161.7.\nAnswer: -5625508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.694723599 to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/1275*272\/976?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*m - 9, -m = 3*m + j - 3. Solve 0 = -i - m*i + 1, i + 2 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8488 and -51\/902728.\nAnswer: 957794408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -521 + 357. Let y = -41 - p. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*k - 324. Let t = -57 + k. Suppose t*n - 2*n + 50 = 0. Solve -4*r + 2*h = 9 + 1, 3*r + 2*h = -n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = t - 5*a, t + 3*a + 1764 = 4*t. Suppose -7*q = 5*u - 2*q - t, 2*q - 117 = -u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:09 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2374514t in kilograms?\nAnswer: 237.4514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 729615 and 117.2?\nAnswer: 729497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r)**(-26)\/((r\/r**14)\/r*r**(2\/7)\/r) assuming r is positive.\nAnswer: r**(-625\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00156 to 2 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 27 - 27 - 3*a**2.\nAnswer: -5*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - 3*z**2 + 2*z**2)*(52 - 52 - 9*z) + (3 - 4 + 2)*(1 + 0 - 3)*(-6*z**3 + 6*z**3 + 12*z**3) in the form f*z**2 + l*z + g*z**3 + w and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/c**7)\/c)\/(c*(c\/c**(-1\/11))\/c*c))\/(c**(-3\/5)\/(c\/(c\/c**5))))\/(c**(8\/5)\/c*c*c\/(c**10\/c))**(2\/189) assuming c is positive.\nAnswer: c**(-25189\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) - ((sqrt(704) + -2)*-6)**2) - sqrt(704)) + 0.\nAnswer: -25488 + 1160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13998*o**2 + 3684?\nAnswer: -27996*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -601 divided by -32586\nAnswer: 601\/32586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 19*l - 15. Let y be a(-18). Suppose -38 + 8 = -y*n. Suppose 5*q + 345 = n*q. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 4. Let t be u(3). Let a = 1 - t. Let j(g) = 34*g**2 - 164*g - 13. Let o be j(5). Solve 0 = 2*f + s + 6, 5*f + 2*s + a = -o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 429 + 108 + 115 + 2*i + 90.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10789, -21579, -32371, -43165, -53961?\nAnswer: -64759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 3, g: 1, s: 3, j: 5, f: 2}. Give prob of picking 1 h and 2 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*x - 5*t, -x + 45 = -3*t + 2*t. Let q = -80 - -82. Suppose 0 = -c + q*o + x, -c - 5*o + 80 = -0*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*x - 5. Suppose u - 6*u + 410 = 0. Suppose -2*t + 5*t + u = 5*a, 3*a - 2*t - x = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8448 and 25392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*(-9)\/36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (90 + -8))*-1. Suppose -4*y + 7 = 5*d - 66, 0 = -5*y - 5*d + 90. What is the highest common factor of y and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -10637.\nAnswer: 10636.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 7*k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10487 is divided by 871.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1198735 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(13\/2)\/y)\/y*(y*y**(-13))\/y)**(-1\/3) assuming y is positive.\nAnswer: y**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 65 = -20. Let r be ((-80)\/p - -7) + (-2)\/(-6). Solve -r*h = -h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 3993915850632.\nAnswer: 3993915850631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + 59 + (-33 - -30) + -27?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, t: 2, y: 10}. Give prob of picking 1 o and 3 y.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14607 - 14603. What is the second biggest value in 0.3, -232, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26290 divided by 1195\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p + 30 = 0, -11*o + 12*o + p = 6. Solve 3*t - 5*q - 3 - 18 = 0, o = 3*t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345336.6 centuries to months.\nAnswer: 414403920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*g**5 + 19219602*g**4 + 93958496*g**3 + 103210486*g**2 - 19930440*g - 8541576 = 0. What is g?\nAnswer: -355899\/4, -3, -2, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 8267229*h**2 + 115741353*h - 405094907.\nAnswer: -(h - 7)**2*(h + 8267243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/595 - 7\/(-714)*6 - (-429)\/(-15)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 8:41 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7242.\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*v - 64 = -38, -7*f + 5*v - 13 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - ((2*sqrt(104)*-2 - sqrt(104)) + sqrt(104)) - sqrt(104) - sqrt(104))\/(sqrt(8) + ((sqrt(32)*1)\/sqrt(4) - sqrt(8))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.30985 - -409.\nAnswer: 409.30985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12607?\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28))\/((-2107)\/2408)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1126 - -3380\/3. Which is the second smallest value? (a) -4.9 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-l**2 + 4*l**2 + 4*l**2) + (-2*l + 3 - 3)*(-l - 3*l + 2*l) + l**2 + 5*l - 5*l.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3230 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3511 rounded to two dps?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m + 6. Let z be p(-6). Suppose -5*t + 39 + 56 = z. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 7) in base 12?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/((-133641)\/2387 - -56)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t + 7\/6*t**3 + 0 + 1\/24*t**4 - 21*t**2. Suppose 0 = 8*o - 7*o + 6. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 363*t**3 - 5*t**2 - 2*t - 3. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349 by 301085.\nAnswer: 349\/301085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 - 1.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/44688 and 48\/7?\nAnswer: 44688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 40, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/88*(3\/(-2))\/(15\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713*t - 448*t + 0 - 13*t + 0 to v*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:10 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5564829, 5564827, 5564825?\n\"Answer: -2*n + 5564831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/19 + 270*n**4\/19 - 556*n**3\/19 - 1092*n**2\/19 + 554*n\/19 + 822\/19 = 0.\nAnswer: -137, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*a = 8, -3*a - 695 + 689 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 4*m + 1. Let a(v) = v**3 - 3*v**2 - 3*v + 2. Let l be a(3). Let y(z) = z**3 + 6*z**2 - 9*z - 10. Let h be y(l). Is f(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (-69 - -72)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let k(d) = 38*d - 71. Calculate k(a(l)).\nAnswer: 38*l**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -14 + 8 + 10 - (-1 - 43479).\nAnswer: 2, 7, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2361 divided by 1.\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001029806 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-77)*2\/(-16)*2*(0 - -9).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - -4 - (-9 + 30 + -27)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s - 13 = -52*s. Let i = 92 + s. Suppose -108 = -z - 3*z. Calculate the remainder when i is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-17 + 16) - 10*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let f(o) = 14*o - 1. Let m(z) = -f(z) - 4*w(z). Suppose -2*g + 4*g + 5*l = 17, 0 = -2*g + 4*l - 10. Give m(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 384 = 11*o. Let h = o + 176. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*l - 5*l. Suppose -l*u + 12*u + 9351 = 0. Let i = u - -1802. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - -8 - (7 + -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120348305 divided by 385.\nAnswer: -312593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7104 divided by -3\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 181. Let k = w + -104.999878. Round k to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -77, -10, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 4*w**2 + 4*w**2)*((0*w + 0*w + w)*(-1 - 2 + 4) + 0*w + 2*w - 4*w + 1 - 1 - w + 0*w + w + 2*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p - 5. Suppose 2*g = -3*g + 25. Suppose -4*r + g*r - 4 = 0. Determine z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100102 + 106312 = -90*l for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*(sqrt(2187) + (-1*sqrt(2187) - sqrt(2187))))\/(-4*sqrt(9)*1 + (sqrt(126)\/sqrt(2))\/sqrt(7)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + 4 + sqrt(10)\/sqrt(2) + 5.\nAnswer: 2*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (26 - -4) + 35 - -58.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spjqprrrpjry. What is prob of sequence rs?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -50*a**3 + 51*a**3 + 12*a - 9 + 4*a - 7*a**2. What is the tens digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 24, -6, 3, -5 in decreasing order.\nAnswer: 24, 3, -3, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 + -68.7. Let k = p - -78. Which is the biggest value? (a) 2\/9 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*b**4 - 2\/7*b**2 - 2\/7*b**3 + 2\/7*b**5 + 0 + 0*b.\nAnswer: 2*b**2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-252)\/(-315) - 41361\/(-5)?\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-9)*3*-1. What is the first derivative of -p**4 + 6*p - 6*p - 6 + 4*p**b wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 4*j - 15*j + (-3 + 4 + 5)*(-1 + 1 - 2*j) to d*j + k and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than 147542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -119. Suppose f - 16 = -3*f. Suppose 0 = f*l - 0*l - 16. What is the greatest common divisor of q and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*p + 0 + 345*p**3 + 366*p + 2 - 2 + 2*p**2 wrt p.\nAnswer: 2070*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/20 (b) -1 (c) -5 (d) 78\/71 (e) 0.3 (f) -2\/7 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -38*j. Let k(b) = -35403*b - 4*b**2 + 35403*b. Determine k(p(u)).\nAnswer: -5776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -1943.\nAnswer: 20\/1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*v - 76*v + 154*v - 357*v**2 - 158*v**2 as h*v + m*v**2 + i and give m.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let y(l) = -5*l + 129. Let v(s) = 4*t(s) + y(s). Let c(q) = 1933444 - 1933444 + 2*q**2. What is c(v(x))?\nAnswer: 2*x**2 - 516*x + 33282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -873 - -872.7. Sort w, 6, 0.1, 3, -8 in decreasing order.\nAnswer: 6, 3, 0.1, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 s when three letters picked without replacement from qomooospo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19451509 is divided by 5671.\nAnswer: 5650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 4 - 7)*(7*k - 4*k + 0*k + (-1 + 3 - 1)*(0 + 0 + 2*k) - 10*k - 5*k - 18*k).\nAnswer: -588*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15 and -40\/5397.\nAnswer: 26985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -411 + 7811\/19. Let m = 1 + 0. Let n = -0.2 - -0.1. Which is the nearest to m? (a) -2\/3 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 763, 2861, 6339, 11203, 17459, 25113, 34171, 44639?\n\"Answer: t**3 + 684*t**2 + 39*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2 + 3 + 0). Let g(k) = -2*k - 4. Let c be g(-4). Is 20 a factor of (244\/(c\/n))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/2 + -5\/4. Let t = 20\/13 + -27\/26. Factor -9\/4*o**5 + 0 - y*o + 3*o**4 + t*o**3 - o**2.\nAnswer: -o*(o - 1)**2*(3*o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 + 4*s - 7. Suppose 3*j - 12 = 2*m, 4*j + 6*m = 4*m + 30. Suppose -j*h + 9*h = -15. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222 - 188 - (-45 - (4 - 2)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313011023 - -1341?\nAnswer: -313004132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2295*v**2 + 36*v - 77. What is the tens digit of p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*-3 - sqrt(65))\/(-2*sqrt(180)).\nAnswer: 7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - ((-6*sqrt(32))**2 - sqrt(2))) + sqrt(2) + (sqrt(2)*2*5)**2 + (-1 + (sqrt(10)\/sqrt(5) - sqrt(2)) + sqrt(2))*5.\nAnswer: -957 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-4) - (4 - -2))\/(10\/190).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5959 is divided by 752.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 + 4*a - 29. Let s(x) = 4*x**3 + 3*x - 28. What is -4*s(u) + 3*w(u)?\nAnswer: -u**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 2 - 4 - 5*y - 72*y**2 + 81*y**2. Let s be b(2). Let u = s + -15. What is the remainder when 20 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -13*j + 6 - 5\/2*j**2. Find the first derivative of o(g) wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 + 7*b + 8. Let k be i(-6). Suppose -5*r = -3*f - 1, 1 = -k*r + 3*f - 4. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.035, -0.07, -4, -0.2.\nAnswer: -4, -0.2, -0.07, -0.035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - 2211?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -183*h + 1095. Let a be r(6). Let k = -4 + 2. Put a, 10, k in descending order.\nAnswer: 10, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/65, 1\/33, -1 in increasing order.\nAnswer: -1, -2\/65, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 + 109*u - 99 - 149 + 246 in the form a*u**2 + v*u**3 + d + c*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341452 and 5078354?\nAnswer: 71096956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118781 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -22. Suppose -y*d = 12*d - 13*d. What is f in -f + d - 1\/2*f**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-1 + -1) - (-8 + -52).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2503 or 2509?\nAnswer: 2503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h - 10. Let u be s(3). Find the third derivative of 29*d**2 - 39*d**2 + 60*d**2 + u*d**6 wrt d.\nAnswer: 4200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28457\/7 or 4064?\nAnswer: 28457\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7))\/(x*(x*x\/((x**2\/x)\/x)*x)\/x*x)*(x*x\/(x\/x**11)*x*x*x*x)\/(((x*x**14)\/x)\/x) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (178*2\/(-4))\/1. Let n be -58*(0 + z)*737. Let l = -5394394 + n. Round l to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/8 - -1\/8. Let r = -285 - -286. Which is the closest to r? (a) -0.1 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/(q**(2\/9)*q))**16*(q**(-1\/2))**(-4\/13)\/(q**1*q**(-2\/11)) assuming q is positive.\nAnswer: q**(-128983\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1996 (b) -4\/5 (c) -19\/7 (d) -0.4 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/57429 and 151\/574290.\nAnswer: 574290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 248?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 220 = -2*f. Let v = f + 448. Let l = v - -343. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5070 = 55*y + 140*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 19*w - 346. Determine d(27).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:42 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6 + (-1)\/3. Let t(h) = 3*h**2 - h**3 + 3*h - 7*h**f + 4*h. List the prime factors of t(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 5*h**2 + 6*h. Give v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 4650 = 0. Let h(q) = -6*q - 1. Let p be h(-1). Suppose -z = -p*d - 305. Is d 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 gzuuzdubgg. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let z be n(0). Suppose -3*t + 4*c - 3 - 10 = z, 0 = -t - c - 2. Let m = -1 - t. Solve 2*l = -0*l - p - m, p - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(891)*-1*-2)**2 + (sqrt(891) - (-1*(0 + sqrt(891)) - sqrt(891)))**2 + ((3 + (sqrt(891) - (sqrt(891) + 1)) + sqrt(891))*-3)**2.\nAnswer: 324*sqrt(11) + 19642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -37*t + 63*t - 439 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5176*u - 7635. What are the prime factors of k(-7)?\nAnswer: 28597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/3*y**2 - 8*y - 28\/9*y**3 - 24 + 2\/9*y**4.\nAnswer: 2*(y - 6)**2*(y - 3)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 + 0.04. Let t = o + -0.1. Which is the biggest value? (a) 3\/5 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4033, 7939, 11845, 15751, 19657, 23563?\n\"Answer: 3906*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38770569241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680844.\nAnswer: 2, 3, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**2. Let n(w) = -192*w. What is g(n(a))?\nAnswer: -811008*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8afd (base 16) to base 9\nAnswer: -53724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d - 45*d + 120304 = -308. What is the highest common factor of 69 and d?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + 4 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a9 (base 14) to base 3\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 18581889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + k = 20, 1 = q - 2*k - 14. Suppose j - t - 19 = 0, 4*j = -q*t + 2*t + 83. What is the third smallest value in 3, j, -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 680693, 1360223, 2039753, 2719283, 3398813?\n\"Answer: 679530*y + 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -0.013329.\nAnswer: 1.06632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 54.19944 decades?\nAnswer: 6503.9328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 87018*-6\nAnswer: -522108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 50. Let t = u + -20. Which is the third smallest value? (a) 0.7 (b) t (c) -5\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(8\/14))\/((-3)\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1698 - 1044. Let f = q + -511. Calculate the lowest common multiple of f and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -1395\nAnswer: 1255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c - 125. List the prime factors of r(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1431200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156850991.\nAnswer: 11, 14259181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or -5\/32?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 644\/(-240) - (-126)\/72 - 4\/10. Sort h, -1\/4, -69\/5 in ascending order.\nAnswer: -69\/5, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1274 and -36\/245?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*y**2 + 162*y + 11*y**2 + 84*y**2 wrt y.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (42 - 22) - (1 - 20 - -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -65, -82, -81, -56?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.706599 and -2.09?\nAnswer: 1.616599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231 - 2781 + 895 - 94*l**2.\nAnswer: -94*l**2 - 655","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3, 5, 2\/5 in increasing order.\nAnswer: -3, 2\/5, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.6. Let c be 1\/3 + 14\/(-6). Let k = 0 + -1. What is the second biggest value in k, c, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 2*v. Let y = 4 - v. Suppose 0 = 2*u + y*p + 2*p - 32, -u + 2*p = -12. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 3 + 5 + 0*z - 4*z.\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 121. Let i = a - -28. List the prime factors of 8*13 - (i + -3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1661 and 71\/36542?\nAnswer: 36542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzhzzzzzzzzzz?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k - 11. Suppose -620 = k*c - 15*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 919 - 11029\/12. Let i = -114415\/16056 - -2\/2007. Find the common denominator of i and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18952*r**6 - 505*r**4 + r**3 - 43*r**2 - 1703*r + 4?\nAnswer: 2274240*r**3 - 12120*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/2 - 5*i**3 + 35*i**2\/2 - 25*i + 12 = 0 for i.\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*t - 52, -46 + 34 = -3*n for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 42*z - 5409. Let k be b(129). Let v(d) be the first derivative of -1\/4*d**4 - k*d + 13 + 5\/3*d**3 - 3\/2*d**2. Factor v(o).\nAnswer: -(o - 3)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.054, 1, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 110*m**3 + 9*m**2 - 8*m + 215. Is b(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 + 57 + 176 = 8*x + 83 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4726*m**2 - 3696*m - 3692*m + 11085*m - 3696*m - 5231 wrt m.\nAnswer: 9452*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-10*m + m - 6*m) to the form w + a*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -764141196 divided by -316022\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -28, -54, -100, -172?\n\"Answer: -c**3 - c**2 - 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 232, 782, 1852, 3616, 6248, 9922?\nAnswer: 14812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 175, 217, 259, 301, 343?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 8, -18, -54?\n\"Answer: -5*m**2 - m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*i - 818 + 846, i = 3*l - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -16155054?\nAnswer: 16155049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**4 + 0*g**3 + 4*g**3 - 451*g + 227*g + 223*g - 3 to s + n*g**4 + t*g + f*g**2 + w*g**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -50, 3 in ascending order.\nAnswer: -50, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/15, -5, 1\/3, 2\/7 in decreasing order.\nAnswer: 1\/3, 2\/7, 2\/15, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(640)\/sqrt(8))**2)*-6.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3\/9 - 348*b**2 - 241540*b - 721476 = 0 for b.\nAnswer: -441, -3, 1227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*d**2*g**2*r**3 + 140*d**2*g**2 - 3*d*g**2*r**3 + d*g**2 + r**2 wrt r.\nAnswer: 1854*d**2*g**2 - 18*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -3*p**5\/20 + 3*p**4\/4 + 9*p**3\/2 + 15*p**2\/2 + 21*p\/4 + 203. Factor t(j).\nAnswer: -3*(j - 7)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-1.60317\nAnswer: -1.54317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3060 = -1302259*i + 1302214*i for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 143*a**5\/6 + 157*a**4\/4 + 16*a**2 + 29*a. What is the second derivative of l(p) wrt p?\nAnswer: 2860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32496482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:19 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 19. Calculate c(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -33. Let p = 9 + -3. Is ((-53)\/(-3))\/(p\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.1. Let m = 22 + -29. Let f = m - -9. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9902, -39671, -89310, -158819, -248198, -357447?\nAnswer: -486566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:15 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a - 3. Let i be b(4). Let q be (-1)\/i + 10\/6. Suppose f = 2*f + 3*w - 5, f = q*w + 15. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.906737 rounded to the nearest integer?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31022858 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*k - 86*k - 59*k - 75*k - 101*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -2 (c) -1.8 (d) -0.3 (e) -0.1 (f) 0.9 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -506384 and -9.2.\nAnswer: 4658732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -2528 (c) -1\/5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4297.77 (b) 3 (c) 1 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5337 minus 0.0389?\nAnswer: 5336.9611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/5 + 10 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4269 divided by -226.\nAnswer: -4269\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 15, f: 5}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 3}. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1728*n - 20683 = -1169*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65496770*j**2 + 1315*j - 8357?\nAnswer: 130993540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0450276*4.\nAnswer: -0.1801104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2445297800 to the nearest one million.\nAnswer: -2445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20476631*a*o**3 + 11885*a*o**2 - 51*a wrt o.\nAnswer: 122859786*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20928?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 10*x = -45, -148*w + 150*w - 4*x + 0 = 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 744 - 695. Calculate the highest common factor of 98 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n + 4. Let d be g(-1). Differentiate -60*p**2 - 4 - 10*p**d - 2*p**2 + 11 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1108468 by -68.\nAnswer: -16301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 46\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, 0.2, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - ((-20)\/(-2) - 4). Let h be (1 - -31)*(-5)\/m. What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000239148 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*k - 1, -2*k = -6*k - 4*r + 28. Solve -3*a = -2*a - 3*b - 4, -a - 4*b = k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose m = 5*a - 2 - 13. Let k(z) = z**2 + z + 4. Is 10 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57300140 to the nearest integer?\nAnswer: 7570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8600 = 4*x, -4*x - t + 3459 + 5153 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 2. Let i be d(2). Let v = i - -1. Let f(g) = g**3 - g**2 - 4*g + 6. Let w be f(2). Is w smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + 1783287?\nAnswer: 1783237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 2480793665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 7. Let y be i(-8). Is y\/(-6)*-250*-1 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22018*y**4 - 338*y**2 + 2*y - 1 wrt y.\nAnswer: -528432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g*g**(2\/9)\/g)\/((g**(-2)*g*g)\/((g**(-1\/2)*g)\/g)) assuming g is positive.\nAnswer: g**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 1453*r + 1452.\nAnswer: (r + 1)*(r + 1452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + 8*a + 6. Let u be r(-5). Suppose 18 = 2*p - 2*x, p - u = -4*p + 4*x. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2 - 2 + 2 - 1 + (-2 + 2 + 2)*(2 + 0 + 0))*(-c - 2*c + 4*c)*(-1 - 2 + 0).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 - 189524*u**4\/9 + 499027194*u**3 - 62845021952*u**2\/9 + 112217067752*u\/9 - 17954367008\/3 = 0. What is u?\nAnswer: 1, 12, 47374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -116, -15, 66, -2?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -v + 15, 5*v - q = 43. Solve -s + 12 - 7 = -6*p, -2*s - v = 5*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 203. What is the remainder when 43 is divided by 714\/36 + (-11)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 1870?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2728.3 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose r*x - 81 = -g, -5 = -5*g - 0*g. Calculate the least common multiple of 14 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -6*q + 39. Let k(y) be the second derivative of 2*y + 1\/3*y**q + 0 + 0*y**2. Calculate k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v - v)*(-2*v - 12*v**2 + 3*v**2 + v) to the form s*v + u*v**3 + y*v**2 + z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19986*w - 18 + 18 - 4582*w)*(-5 + 3 + 0)*(2*w - 3 + 3) to m + k*w + t*w**2 and give t.\nAnswer: -61616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 19*p**7\/210 - 7*p**5\/30 + 18*p**2. Find the third derivative of t(x) wrt x.\nAnswer: 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 2056 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.55 + -291.45. Let u = v - -70. Let x = u - -223.9853. Round x to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let q be (-2)\/(-2) + (-14)\/c. Suppose t + 0*t - k = q, 3*t - k = 14. Solve 2*i - 2*y = t + 5, 4 = i + 4*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((2\/(-2))\/1)\/((-8)\/968)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1\/3, 73.05?\nAnswer: 73.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1544480 and -11\/77224.\nAnswer: 1544480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -492.107 and 0.04718919.\nAnswer: -492.05981081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 82.5. What is the closest to 0 in x, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 6807*t**4 - 6*t - 6805*t**4 - 2 + (-3 + 3 + t)*(2 + 2*t**3 - 2).\nAnswer: 4*t**4 - 6*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3930 + -3096. Calculate the remainder when l is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ouooouuotuuooou.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 17*a - 6*a. Let b be (2\/6)\/(a + 66\/18). Factor b*s**3 + 0 - 1\/2*s + 1\/2*s**4 - 1\/2*s**2.\nAnswer: s*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2*l**2 + 1. Let p be z(-1). Let m be (p + 6\/(-4))*2. Let o be 1 + 2 + -3 + -3. Is m at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2301531 + -10.7.\nAnswer: -2301541.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 132*c**2. Let s(q) be the second derivative of 11*q**3\/3 + 4640*q. Determine s(a(w)).\nAnswer: 2904*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1519*h**3 + 2*h**2 + 9148*h?\nAnswer: 9114*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 28. Solve m - 11 = 3*k, 1 = 2*m + 2*k + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o + 132*o - 106 - 524 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/189 + (-20)\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.632355 rounded to 0 dps?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -246*t**2 + 51*t + 45. Determine v(-1).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.17 + -18.17000035. What is u rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 109 + 107 + 8*b - 216. Let o(i) = i**2. Calculate o(w(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-5 - (7 - 7)\/(-2)). Solve -i*n + 13 = 8*h - 10*h, -h = 5*n - 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1390*t + 36137. Calculate i(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 0.8, 1\/3697 in descending order.\nAnswer: 0.8, 0.4, 1\/3697, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821020216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 7*z**2 + 2*z - 12. Let m be y(-5). Suppose -4*f + l + 16 = -l, 4*f - m = -l. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 34)*(-9168)\/(-36). Round b to the nearest one hundred.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 2*t - 2. Suppose 6*j - 3 = 3. Let d be a(j). What is the tens digit of (32 - -1)\/(d\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from ekkkhkkekeekeef?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 + -494. Let n = 106.51 + -106. Let j = n + -0.11. What is the fourth smallest value in v, -2, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7462 is divided by 2459?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110284 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*d - 0*d + 18, -4 = -2*d. Suppose -l - 16 = -h - 38, 0 = 2*h - k. Calculate the remainder when 76 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v - 25. Let q be (-1 - -15 - 2) + 1. List the prime factors of d(q).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 809*i**2 + 10*i + 11. Let r be c(-1). What is the highest common divisor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -841.649 + -1.351. Let s = z - -842.99999277. Round s to 7 decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 103. Let t = 176 + l. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9988*a - k = 9992*a - 21, -4*a - 4*k = -60 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**6\/1080 + 5*l**5\/36 + 625*l**4\/72 + 7*l**3\/3 + 3*l**2 - 25. Let n(y) be the third derivative of o(y). Solve n(j) = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122926303 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -2. Let m = 0 - l. What is the units digit of ((-1)\/m)\/(4\/64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1873*b. Let l(w) = -758*w + 2*w**2 - 753*w - 773*w + 2284*w. Give k(l(z)).\nAnswer: 3746*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*k**2*v**2*x**3 - 17*k**2*v*x**3 + 39*k**2*v*x**2 + 402*v**2 + 2*v*x**3 wrt v.\nAnswer: 44*k**2*x**3 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(-38)\/(x**2\/x*x*x**(-2\/13)) assuming x is positive.\nAnswer: x**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 2?\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86866 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 4*k)*((-2 + 4 + 0)*(-k - 3*k - 6*k) - 9*k - 26 - 5 + 9).\nAnswer: -29*k**2 - 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5654379 to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 (base 6) in base 2?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 93 - d**2 + 2*d**2 + 101 + 2*d - 2*d**3 to the form a*d**3 + w + b*d + t*d**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 56.032. Round j to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1206\/45 - (-1)\/5. Suppose -5*n + t = -y, -2*n + y + 18 = -3*y. Sort n, -3, -1 in ascending order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 8*s**3 - 22*s**2 + 12*s.\nAnswer: 2*s*(s - 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2*(-44)\/33*-276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/340586537 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u. Let s(c) = -17*c**2 + 6*c + 6. Let i(o) = -2*o**2 + o + 1. Let t(r) = 6*i(r) - s(r). Determine l(t(w)).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -3 in ascending order.\nAnswer: -4, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 158430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 12*i**2 - 18*i + 50. Let w be b(-24). Round w to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77496998 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 4. Let o = t - -5. Suppose o + 2 = i. Solve -2*y - i = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 1 - 1)*(3 - 3 - y)*(22*y - 27 + 27).\nAnswer: -66*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11319, -11321, -11323, -11325, -11327?\nAnswer: -11329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083548901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.66886t in kilograms?\nAnswer: 66668.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*y + 13. What is the remainder when y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s + 1733703 = 4753273. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03191 * -98.7\nAnswer: 3.149517","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5281 (base 16) in base 14?\nAnswer: -79a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19679\/8, 1, -35 in descending order.\nAnswer: 19679\/8, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.05828km in millimeters?\nAnswer: 25058280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/66*6*(-12)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97 times 420\nAnswer: -40740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 749, 67, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1520*v - 167. Let w be b(1). Calculate the highest common divisor of 82 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 6 (b) -8 (c) -1\/3 (d) 0.4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -50*t - 298. Let r be c(-6). What is the third derivative of -77*f**2 - 26*f**6 - 35*f**6 - 60*f**2 + 29*f**2 - 67*f**r wrt f?\nAnswer: -7320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdydvymahmvvh. Give prob of sequence ah.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.54492mg in kilograms?\nAnswer: 0.00006654492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -102, -35191 in decreasing order.\nAnswer: 0, -102, -35191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -253 (base 7) to base 13\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-58)\/1)\/((6\/(-48))\/1). Let o = m - -39. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uzbnenznnuz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3 - 9020*m**2 + 47700?\nAnswer: 3*m**2 - 18040*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 306*k - 308*k + 71213, -35605 = -k - 3*h. What are the prime factors of k?\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Let x = z - 3. Is 1\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = -5*m, 0 = -3*m - 2*m + 4*h - 36. Let k = -6 - m. Solve -a = k + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c93 (base 15) to base 7\nAnswer: -11163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -f - 16, 5*f - u + 16 = 3*u. Let j be 4*(7\/4 + -1). Suppose j*r - 8 = -r. Solve r*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124020 - -3?\nAnswer: -124014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*3620\/2715.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -111011?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22 + 60 + -20)\/(3\/8) and 3 + 1 - 255\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-79))\/(0 - -10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/12 - -10)*(-6)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49074, 196193, 441378, 784617, 1225898, 1765209, 2402538, 3137873?\nAnswer: 3971202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12069 - -5.12069. Suppose -3*w - 6*w = 36. Which is the nearest to 2? (a) -9 (b) 4 (c) q (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11592.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*p - 1018*p + 500*p = -735990. What are the prime factors of p?\nAnswer: 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1) + 15 + (1 - 10) + -13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 809, 3\/11, 2\/17 in ascending order.\nAnswer: 2\/17, 3\/11, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/7 + 372*u**4\/7 - 6000*u**3\/7 - 138752*u**2\/7 + 3093504*u\/7 - 2949120\/7 = 0. What is u?\nAnswer: -20, 1, 24, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -13 + 14 + 16 - -17 - 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -195.76?\nAnswer: 211.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/14*-8*231\/(-66))\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 677852*r**4 - 33*r**3 - 1054181987*r**2.\nAnswer: 16268448*r - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1960\/37669 + 18\/271. Let q = y - 574\/1251. Let p = 293\/525 - -1\/75. Which is the biggest value? (a) p (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*2*4 + sqrt(2016)*3)\/(sqrt(56)\/(sqrt(7) + sqrt(1008)*2)*5))**2*-1.\nAnswer: -118300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 269, 266, 263, 260?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21150341.5 rounded to the nearest 1000?\nAnswer: -21150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5399353 and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**2 - 60436*k - 3624264 = 0. Calculate k.\nAnswer: -119\/2, 7614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/22)\/((-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*j*z**3 - 2*j*z**2 - 1085*j*z - z**3 wrt z?\nAnswer: 108*j*z - 4*j - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/5 - 7232596*o\/5 + 28930352\/5 = 0. Calculate o.\nAnswer: 4, 3616294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816613 is divided by 635.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1\/7, 0, -1\/2, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3 + 4 - 2 - d**2. Let p(w) = 4*w**3 - 2*w**2 - 3*w - 5 + 2*w - 3*w**2. Let r(s) = p(s) - 5*v(s). Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001755 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(6\/11)\/b*b*b\/b**(1\/5)*b**(-7)*b**(-1\/5) assuming b is positive.\nAnswer: b**(-322\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**8\/168 - a**4\/3 + 4*a**2 - 4. Let g(p) be the second derivative of s(p). Find the second derivative of g(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q + 1. Let j(z) = -8*z + 2. Let n(i) = -i**3 - 6*i**2 - 9*i + 3. Let u be n(-3). Give u*j(v) - 4*l(v).\nAnswer: 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -1\/20*s**5 + 0 - 1\/8*s**4 - 1\/120*s**6 - 4*s**2 - 1\/6*s**3 + 0*s. What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, c: 1, s: 4, u: 8}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4111044145 + -1?\nAnswer: -4111044150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l)*(-6*l + 6*l + 24*l**2).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let z(k) = 7*k - 1. Let o(l) = 3*y(l) - z(l). Let n(t) = -2*t. What is n(o(a))?\nAnswer: 20*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3292*q - 991064. Give u(-301).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5738 divided by -5738\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 24 - 14. Suppose 2*m - 1021 = -5*c + 3*m, r*m = 8. Suppose 5*v = -2*o + 348, -7*o + 2*o + c = 3*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1015\/3 - 335. Calculate the common denominator of u and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -772635 greater than -772634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**2\/3 + 5249590*x - 15748785 = 0.\nAnswer: -3149757, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 362915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 69*m**2 - 106*m + 2653. Determine t(-71).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 8*a - 16. Let d(x) = 5*x**2 - 40*x + 3. Let h be d(8). What is j(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - a3760?\nAnswer: -a3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/958776 and 59\/1756?\nAnswer: 958776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14242 - 15168 + 26318 - 3*o.\nAnswer: -3*o - 3092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = -5*b, 3*b = 4*q + 6*b - 48. Factor q*t**3 - 2*t - 9*t**4 + t + t + 3*t**5 - 3*t**2.\nAnswer: 3*t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 5*c**4\/24 - 6*c**2. Let i(a) = -2*a**2. What is s(i(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 7. Let t be g(-9). Suppose 0 = -t*i - 354 + 358. Solve i*o + 3*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 11*m = -209 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j + 7. Let b be k(-1). Let x(y) = -y**2 + 24*y - 23. Let p be x(b). Put p, -0.4, 2\/7 in decreasing order.\nAnswer: 2\/7, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 - 1998*w**2\/5 - 665334*w\/5 - 73852074\/5 = 0 for w.\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - 3) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -0.155886559?\nAnswer: 0.844113441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d - b, -21 = -2*d + 5*b. Let u be 0 + (-3)\/(0 - 1). Suppose -u*l = -d*a + a + 20, a = l + 9. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)*6)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4884.43 - -4885. Let l = 10 + -10.6. Let q = 0.3 + l. Sort -5, q, y in descending order.\nAnswer: y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**4 - 35*w**3 + 45*w**2 - 25*w + 5.\nAnswer: 5*(w - 1)**3*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1717, 1782, 1875, 1984, 2097, 2202?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.061 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + 10 - ((-1 - -5) + -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16807 and 1010729762.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-1)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 14, z: 1}. Give prob of sequence zd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333552481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 116 + 40. Solve 3*o = 5*w - 32, -5*o + w - j = 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318 a factor of 2475136860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(325) - sqrt(325)*6) + (1*(sqrt(156)*-2 - sqrt(156))\/sqrt(12))**2.\nAnswer: -25*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*l - 68*l + 20*l. Solve l = 6*k - 34 + 28 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3391 + 3391. Let z(g) be the second derivative of q + 1\/5*g**5 + 3\/2*g**2 - 1\/30*g**6 - 1\/6*g**4 - 2\/3*g**3 - 15*g. What is h in z(h) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000001000101 - 1000?\nAnswer: -10010000001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28634 - 0.102.\nAnswer: 0.18434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316053468.\nAnswer: 2, 1079013367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/259)\/((-40)\/(-35))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*u = 3*o + 24, 0 = -2*o + 2*u + 4. Suppose -3*d + 273 = 3*y + d, o = 2*d. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Suppose c*d + 0*d = -20. What are the prime factors of (29 - 20\/d) + 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10932, 11043, 11228, 11487?\n\"Answer: 37*z**2 + 10895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - 2.5. Let n = -3.59982 - y. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/63 and 133\/828?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198814 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 34*w**2 + 2*w - 10. Let m be p(17). Sort 1, -1, m in increasing order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.96 + -200701.\nAnswer: -200700.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q + 1. Let v be k(1). Suppose -127*u = -148*u - 105. Let l = 4 + 1. Which is the closest to v? (a) 4 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 2*h**2)*(2690*h**2 - 1355*h**2 + 154*h - 1337*h**2 + 1) to u*h**3 + l*h + k*h**4 + s + d*h**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 35 = 5. Let d(x) = -x. Let y(t) = -4*t. Let p(i) = 11*i**2 + 1. Let c be p(-1). Suppose 2*g - c = 6*g. Give g*y(l) + r*d(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.92? (a) 5 (b) 5\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(70\/(-4)) - (-144)\/(-308)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 667*z**3 + z**4 - 2*z + 666*z**3 - 20*z**4 to a + m*z**3 + q*z**2 + h*z**4 + t*z and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13082140*p*q + 699636*q - 2 wrt p.\nAnswer: -13082140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.078 (b) -0.4 (c) -1\/7 (d) 3\/23 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 99668892*x**2 - 827824002708972*x.\nAnswer: -3*x*(x - 16611482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209)*2 - sqrt(209)))*3 + sqrt(209) - sqrt(209))\/(sqrt(704)\/sqrt(4)) + (sqrt(399)\/(-2*sqrt(7)))\/(sqrt(147)*-2).\nAnswer: sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0152477 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let x(y) = 2. Let d(o) = o - 9. Let s(g) = 2*d(g) + 9*x(g). Give s(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 368010787 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 29*p + 364. Let z(r) = 13*r + 182. Let m(a) = 4*n(a) - 9*z(a). Let c(s) = -4*s. Calculate m(c(f)).\nAnswer: 4*f - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 14*r**3 - 38*r + 25*r**3 - 495*r + 137*r.\nAnswer: -3*r**3 - 396*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**3 - 13*r**3 + 21*r**3 - 33*r**3.\nAnswer: -54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45392 (base 10) to base 15\nAnswer: d6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99.94, 0.07, -32?\nAnswer: 99.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**8\/1680 - z**7\/210 + 13*z**6\/600 - 7*z**5\/300 + 13*z**2 + 3*z. Let l(s) = 0. Calculate s.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l + 4 + 3*l - 3. Let c be m(-4). Suppose c*p - 14 = 101. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**5\/60 + 921*i**2. Let s(v) = -36*v. Let m(p) = -5*p. Let t(a) = 45*m(a) - 6*s(a). Determine j(t(y)).\nAnswer: 567*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 9. Calculate r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -301 + -8)\/(-2). Solve 0 = -3*u - l + 143 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*u - 26 = -3*r, -2*r - 3*u + 19 = 0. Let v = -99 - -152. What is the remainder when v is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326211 and 1649.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200100 (base 3) in base 14?\nAnswer: -9d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 54*s**2 + 7*s + 556. Let m be o(-54). Calculate the highest common factor of 9256 and m.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 11, y: 1}. What is prob of picking 3 w and 1 e?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -12 (b) -2\/5 (c) 0.2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*(0 + -4). Let q be (6\/(-27))\/(z\/6). Let h = -1 + 0. Is h smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = 46*f - 139*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -0.08. Let g = l - 0.5. Let v = 1 - 0.9. Which is greater: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - n - 1198 = n, -2*i - 5*n + 1177 = 0. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 74 + 42*j**2 - 8*j - 21*j - 40*j**2. What are the prime factors of q(23)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:35 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -81691\nAnswer: 32676.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:10 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5845*n - 5856*n. Solve -170*a + 165*a + 25 = n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23616*p + 32*p**2 + 23424*p - 5*p**2 - 8*p**2 + 18*p**2 to z + g*p + d*p**2 and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 165*w + 1655. Determine o(11).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -796, 3, 11, -10 in ascending order.\nAnswer: -796, -10, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -5 - 13*v**3 + 18*v**3 - 6*v + 2*v. Differentiate t(d) wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/7 or -20?\nAnswer: -143\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2574283834 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*k - 420*k + 785*k.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*j - 438*j + 36*j**3 + 221*j + 75*j**3 + 104*j**3.\nAnswer: 215*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxexxpxpxxxexxx. What is prob of picking 2 e and 1 p?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 138*m - 276. What is the least common multiple of r(3) and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-30)*9 - 2. Let x be ((-2)\/q)\/((-9)\/(-72)). Factor -1\/6*j**x + 1\/3*j + 0.\nAnswer: -j*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**3 + 63 - 112 - 5*l**2 + l + 46 to the form z*l + d*l**3 + p*l**2 + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*q**4 - 490170*q**3 - 1204058848*q wrt q?\nAnswer: -2220*q**2 - 2941020*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from bbbbubbubbbububu?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-1008))\/(15\/20)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1\/23, -0.9?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 5, x: 3}. What is prob of picking 1 i and 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*m + 6 + 449 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85175346 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1792788 - 0.4\nAnswer: 1792787.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 223, 260, 335, 460, 647, 908?\n\"Answer: 2*m**3 + m**2 - 6*m + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 30*d - 47*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 3*m**2 - 16 - 7*m - 4 - 3*m in the form l + q*m**2 + i*m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = -5*a - 2*h, 4 = -2*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-4 + 2) - (24 - 35 - 24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let c(q) be the second derivative of q**3\/3 - 1839*q**2\/2 + 83*q - 5. Calculate a(c(i)).\nAnswer: -8*i**2 + 14712*i - 6763842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-6))\/(25\/(-20)). Differentiate 1521*v + 4 - 1521*v + 11*v**k + 6*v**2 with respect to v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = s, 2*t - s = -0*s + 6. Solve 2*j = u + 3, 3*u - 3*j + 7 = t*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.068*33.12.\nAnswer: 2.25216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -777532, -1555105, -2332718, -3110371, -3888064?\n\"Answer: -20*o**2 - 777513*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3 - 57*q**2 - 212*q = 0.\nAnswer: -53, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12172262\/45 + -270493. Let r = -2422351\/420 - -40392\/7. Find the common denominator of c and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3595 - t**3 + 0*t + 3595 + 6*t + 20*t**4 + t to v*t**2 + s + l*t + c*t**4 + n*t**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p - 95 + 36 + 35 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 4*k + 4*k)*(3 + 26 - 7) in the form a + p*k and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 12:19 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -166 + -7337?\nAnswer: -7514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/3))\/q*((q\/((q**(6\/5)*q*q*q)\/q)*q)\/q)\/q*q**(13\/2)\/q**20 assuming q is positive.\nAnswer: q**(-481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 4*z**3 + 0*z**2 - 6*z**2 - z**2 + 6*z**2 to the form j*z**2 + t*z**4 + q*z + b + o*z**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3033 (base 9) to base 8.\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40487 + 40531.874. Let h = z + -45. Let k = -0.1191 - h. What is k rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*y + 3*c - 7, -2*y + 7 = 3*c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 10403.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/24)\/((-3)\/4*10\/150)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 43344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2266.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r - 10 + 10)*(5*r**2 - 7*r**4 + 8*r**4 + 0*r**4).\nAnswer: -10*r**5 - 50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b - 94. Let p be k(5). Suppose -5*n + 0 + 5 = 0. What is the units digit of (-3 - (-29 - p))*n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/159?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000019323906 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 21. Suppose 4*v - g - 26 = -4*x, -8 = -v + x. Calculate the highest common factor of v and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-32)\/12 + -2. Let k be 4*3 - (-46 + 15). Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/2 - 355*l - 8052 = 0. Calculate l.\nAnswer: -22, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*k**3*v + 4*a**3*k*v + 6*a**3*v + a**3 + 187*k**5 + v wrt k?\nAnswer: -6*a**3*k*v + 3740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-7)\/(-5) + (-18)\/45). Let y(a) be the first derivative of v + 0*a**2 + 1\/6*a**4 + 4\/9*a**3 + 0*a. Determine c so that y(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/13)*l**26)\/((l*l*l\/(l**16*l*l))\/l)**(-2\/7) assuming l is positive.\nAnswer: l**(1880\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*z + 35, z = -3*l + 6*z. Suppose 0 = -l*w - 2*h + 58, 2*w - 38 = -w - 2*h. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 + 2*d**2 + 2*d + 1. Give g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3 - 2. Let h be 2 + 2\/13*-14. Is u greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64517, -129039, -193561?\n\"Answer: -64522*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 65*q - 868. Calculate u(0).\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - 71*w + 27. What is t(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 540 - 494 + 72*d**4 + 14*d**4 wrt d.\nAnswer: 344*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(363) + -1)*-3 + sqrt(363) + 3 - 3*1*sqrt(363)*-3)**2)*-5.\nAnswer: -89100 - 4620*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290143, 580362, 870645, 1160986, 1451379?\nAnswer: 1741818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299777770 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4*z + s**4 + 8*s**3*z + 2*s**3 + 3*s**2*z - 5*s**2 + 1 wrt s?\nAnswer: -72*s*z + 24*s + 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z**9)\/(z*z\/(z\/z**9)*z*z*z*z\/z**4*z))**(-20) assuming z is positive.\nAnswer: z**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 409*z**2 - 602*z - 34. Let n(u) = 136*u**2 - 201*u - 12. Let l(m) = 17*n(m) - 6*y(m). Find the second derivative of l(b) wrt b.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:46 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21849, -87375, -196585, -349479?\n\"Answer: -21842*d**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030632 (base 9) to base 13.\nAnswer: -16411a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 520*w - 9*w**3 - 7 + 3 + 5*w**3 + 517*w to z*w + b + m*w**3 + x*w**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 22 = y, 2*z = -3*y + 11 + 3. Suppose y*o - 5*j = 5*o + 9, 4*o + 4*j = -4. Solve -l - 11 = 2*c + c, -o*c = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) + -10 + (-18 - -27)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20808, -41615, -62422?\nAnswer: -83229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11011 - -1133?\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -103. Calculate the highest common factor of 295 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/42 + -1\/42. Which is the closest to -0.2? (a) w (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 4*g - 4*g)*(-262*g**2 - 3209*g + 3209*g) to the form l*g**3 + y*g**2 + d + x*g and give l.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100 + -110111?\nAnswer: 11111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138328 is divided by 324?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0439 = -126633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76726675 is divided by 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90077 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:42 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2\/3*z**3 - 93 + 1\/9*z**6 + 1\/6*z**4 + 2\/5*z**5 - 2\/3*z**2 + 0*z. Find h such that d(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39147874 and 728974.\nAnswer: 19702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/12)\/((-175)\/(-50)) + (-15)\/9?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10391632 is divided by 556.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 equal to -72082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*a = 2*n + 17, -a = 3. Let z be (2\/(-4))\/(n\/(-48)*-1). Calculate the remainder when 34 is divided by (-46)\/z + ((-22)\/6 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.47 and 0.085783.\nAnswer: -0.04031801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - c - 1. Let k(z) = -9*z**2 - 4*z - 2. Suppose 0 = -25*r + 32*r - 7. Let q(o) = r*k(o) - 4*y(o). Find the first derivative of q(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8*1 + -2 + 2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3790542 * 9\nAnswer: -34114878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/30396 and 137\/4470?\nAnswer: 151980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -3088. Let s be o\/20*((-107)\/(-3) - 2). Suppose 0*c + s = 3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26834270 to the nearest 100000.\nAnswer: -26800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 + 3*a + 6. Let w be y(-2). Calculate the common denominator of (-573)\/(-36) - 6\/w and ((-4)\/(-8))\/((-38)\/(-12)).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 3*i - 1. Let d be x(4). Suppose 2*t + d*r = 26, -4*r = -10*t + 5*t + 42. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:58 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 17*c**2 + 40*c + 10. Calculate the remainder when b(18) is divided by 262.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 12*y**3 + y**2 + 2*y. What are the prime factors of c(1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73, -61, -37, 5, 71, 167, 299, 473?\n\"Answer: c**3 + 5*c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012795 rounded to four decimal places?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*u + 10, 3*u - 28 = -2*d - u. Let y(i) = 3*i + 1320*i**2 - 668*i**2 - 2 - 651*i**2. Let x(v) = 4*v**2 + 11*v - 7. What is d*x(h) - 22*y(h)?\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -9109 + 9106. Let z(c) = c**2 - 15*c - 56. Determine z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-40)*116 - 0. Which is the biggest value? (a) -3\/2 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206 times -1.4\nAnswer: -288.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-69) + 14\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382665409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 0) - 2 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 243*i + 107*i - 17 + 4*i**2 + 57 - 19.\nAnswer: 4*i**2 + 350*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36)\/(-6)*(-1)\/(30\/(-2060)) is divided by -5*(2 + (-395)\/25)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2 + 519*u - 5 + 5 + 526*u - 1046*u. Suppose 0 = -5*y + 10. Give x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770 and 567847720.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -36, -63, -92, -123, -156, -191?\n\"Answer: -l**2 - 22*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 12*r**2 - 3*r + 41. Suppose -13*g - 29 = 257. Let h = 34 + g. What is the least common multiple of k(h) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2, 0.29, -2, 6.4, 5 in increasing order.\nAnswer: -2, -3\/4, 0.29, 2, 5, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130328266*g**4 - 117684*g + 57?\nAnswer: -1563939192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 2170279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(sqrt(242) - (-1*(sqrt(242) - (1 + sqrt(242))))**2 - (sqrt(242) - (sqrt(242) - (-2*sqrt(242)*2)**2))).\nAnswer: -19365 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17457835 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4337*m = -833*m + 45140 - 60680 - 86076 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - q**2 + q + 3. Let w be c(0). Suppose -w*h = 3*f - 33, 7 = -2*f + 4*f - h. What is the remainder when (-2)\/(((-2)\/1)\/10) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x - 15, -5*y + 161 = 3*x. Suppose 0 = 39*u - y*u - 365. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -349. Let a = 150 - x. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 36. What is the common denominator of (-230)\/70*5*(-7)\/o and 69\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9266 divided by -21002.\nAnswer: -4633\/10501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffzb when four letters picked without replacement from {f: 2, g: 1, b: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 206.644.\nAnswer: -144.6508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20028671?\nAnswer: 13, 59, 26113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-140)\/(-8))\/5*4\/7. Let v(d) = -12*d**2 - 25. Let j(b) = 145*b**2 + 300. Let f(r) = a*j(r) + 25*v(r). What is the first derivative of f(l) wrt l?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-25 - ((-6 - -27 - 16) + -18)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and -58\/10059?\nAnswer: 20118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(1\/3)\/u)*u\/(u*u*u**5))\/(u**(-3)\/u*u**(1\/2))*(u**(2\/9)*u\/u**(-3))**(-17\/2) assuming u is positive.\nAnswer: u**(-697\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 1. Let i(f) = f**3 - 15*f**2 - 66*f + 1119. Let p be i(14). Let m(w) = -3*w**3 + 2*w**2 - 8*w + 2. What is p*m(d) - 2*s(d)?\nAnswer: 3*d**3 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-505)\/35 - -10\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 21*o - 4 = -26*o, -j + 1 = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 18, -0.2, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -455.428 * -0.019\nAnswer: 8.653132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3418 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, k: 3}. Give prob of sequence vvkv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*v - 92, 4*z + 2*v - 155 = 53. Suppose 4*u + 3*y - 64 = -y, 4*u - z = 3*y. Calculate the remainder when u is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408187147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 3*t**2 - 4*t**2 + 3*t**2 - 3*t**2 - t**2 + (17*t - 31*t + 11*t)*(t - 1721 + 1721) as l + n*t + q*t**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 1 - 1 + (-s + 5*s - 2*s)*(s - 5*s + 2*s) - 4*s**2 + 0*s**2 + 2*s**2 as d*s + h + u*s**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24161 + 24220. Solve p*y = -75*y + 670 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51836 by 12959.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2.13533598.\nAnswer: 8.54134392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -2816\/43517 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - 24. Let i = 227\/2 + h. Find the common denominator of 75\/14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 10 - 4)*((2 - 3*n - 2)*(5 - 1 - 5) + 1 + 17*n - 6 + 3) in the form t + y*n and give y.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and 10034519?\nAnswer: -16055230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 74*w + 1053. Give l(42).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313*p**2 + 1778*p**2 - 459130*p**2.\nAnswer: -459665*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {u: 2, j: 5, d: 7, n: 5}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1724 + 3775. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 9. Let j be y(7). Suppose 234 = 2*z + 4*f, -6*f + 115 = z - j*f. What are the prime factors of z?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 4*q**2 + 3*q**2 - 2*q**2 + 2*q**2 + q**2 + (2 - 4 + 4)*(-3*q + 3*q + 2*q**2) - 4*q**2 - q**2 + 2*q**2)*(-3*q + q + 4*q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 25. Let c(s) = 12 + 8*s**2 - n*s**3 - 20 + 8. Let u(d) = -d**3 + d**2. Let x(a) = -c(a) + 2*u(a). Find the third derivative of x(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 16*n + 21. Let x be u(-17). Suppose -x*p + 2*p = -5*p. Let j be 4\/18 - 176\/1683 - p. Which is the nearest to 0? (a) 7 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.06 (b) -1 (c) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -375, -874, -1629, -2676?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 85*i - 9. Let t(d) = -28*d + 3. Determine 6*o(m) + 17*t(m).\nAnswer: 34*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1437 - -2577. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 521*w - 346*w + 694*w + 1346*w - 356*w as b + l*w and give l.\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -161, -171, -181?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251374 is divided by 125248?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**0*z*z))\/(z*z\/((z*z**(-1))\/z)))**(1\/3)*((z*z**(3\/2))\/z**(-1\/4))**(17\/5) assuming z is positive.\nAnswer: z**(461\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3661 + 18367\/5. Find the common denominator of 9\/4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) -73 (b) 58 (c) -24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 2, f: 6, o: 1, l: 1}. What is prob of picking 1 k and 2 g?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 divided by 3?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m**2 + m - 1. Suppose -795 = -3*l - 3*u - 753, 2*l - 35 = -3*u. Let y = -5 + 3. Let b(i) = -3*i**2. Calculate l*b(f) + y*k(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**4 + 0*x**3 + 0*x**3 + 7*x**4 + 123*x**4)*(7*x + 12*x + 18*x).\nAnswer: 4255*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*y = 128*y. What is the third derivative of 3*i + y*i**3 + 0*i**3 + 19*i**4 - 3*i**2 - 4*i**3 - 2*i**4 - 3*i**4 wrt i?\nAnswer: 336*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -14, -62, -150, -290, -494, -774?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044538 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-36))**13)**(-44))**9 assuming z is positive.\nAnswer: z**185328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 5, y: 2}. Give prob of sequence ly.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2+1746404154\nAnswer: 1746404156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:09 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, -1, 2, -3, 5, 3.\nAnswer: -3, -1, 2, 3, 5, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 22 = 5. Which is greater: 4\/123 or a?\nAnswer: 4\/123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.739208ml to litres.\nAnswer: 0.003739208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.962 in -176, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 1, a: 1, c: 1, p: 1}. Give prob of sequence cpab.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 447 = -349. Suppose 3*f + 5*y - 2*y = 963, 5*y + 1555 = 5*f. Let b = f + q. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t + 28*t - 7*t + 3*t to the form a*t + c and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*d + 98 + 0*d - 31*d wrt d?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -317*k + 8. Let f(y) = -15535*y + 390. Calculate -4*f(t) + 195*x(t).\nAnswer: 325*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/2 (b) -0.4 (c) 1\/7 (d) -1\/8 (e) 1\/17 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 11*q - 71. Suppose -67*h + 448 = -q*h. Let s = 167 - h. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/42 - 2*v**4\/63 - v**3\/63 - 41*v - 50. Let c(z) be the first derivative of n(z). Factor c(f).\nAnswer: 2*f*(f - 1)*(5*f + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 10, s: 3, t: 3, x: 2}. Give prob of sequence ttt.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3806 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -23. Let t be 10\/(-4)*(-8)\/j. Let z(m) = -8*m**2 - 8*m + 17. Let k(n) = -3*n**2 - 3*n + 6. Let u(w) = 11*k(w) - 4*z(w). Determine u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-29 - 25) + 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2670888 = -299*w - 2671187 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b + -14a?\nAnswer: -1e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 11) to base 14.\nAnswer: 16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*f**5 - 181*f**5 + 47*f**5 + (-3*f + 5*f - f)*(0*f**4 + f**4 + 0*f**4).\nAnswer: -275*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 47*v**2 + 389*v + 587. Determine d(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 531394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 367931756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-207496)\/19628 - (-22)\/14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1377) + 2))**2 + 4 + (1*(sqrt(1377) - (sqrt(1377) + -2*sqrt(1377)))*-3)**2)*5.\nAnswer: 720*sqrt(17) + 275500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o - 10. Let w be 12*(0 + o\/4). Let s be (-4)\/12*w\/(-8). Which is the second biggest value? (a) s (b) -2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + 9*f**2 - 8*f + 6. Let g(v) = -3*v**3 - 10*v**2 + 8*v - 6. Let c(n) = 4*g(n) + 5*s(n). Is c(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5467262.034597832 + -5467262. Let v = o - 0.0346. Round v to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -33. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**7\/1680 - 5*x**5\/12 + x**4\/24 - 50*x**2. Let i(c) be the third derivative of h(c). Let v(g) = 42*g. Give v(i(a)).\nAnswer: 126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -8\/3*l - 56 - 1\/6*l**4 - 32\/9*l**2 - 46\/27*l**3. Factor c(f).\nAnswer: -2*(f + 1)*(f + 6)*(3*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 - 2018*f**2\/11 - 552*f.\nAnswer: 2*f*(f - 1012)*(f + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 185437817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 262033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 - 1 = 0. Suppose 2*p + p = 0, -w*u - 2*p = -24. Suppose -18 = -6*r + u. Solve -r = 5*d + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 359531 and 3.\nAnswer: 1078593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**3 - 14*l**2 + 3. Let m(v) = 7*v**2 - 2 + 0*v**3 + 0 + 3*v**3. Let q(g) = -5*m(g) - 2*n(g). Let w be q(-6). Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4567*b**4 + 2*b**2 + 8004*b?\nAnswer: -54804*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6321*c**2 + 797*c**2 + 5183*c**2.\nAnswer: 12301*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/((n*n**(2\/3))\/n*n)*n\/(n*n**(-4)\/n)*(n**(-5)*n)\/n)\/(((n**(1\/10)*n)\/n**(-3))\/(n**(-6\/5)*n**5)) assuming n is positive.\nAnswer: n**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4 - 2. Suppose -h*s = -5 - 7. Suppose 3*d + 65 = 2*i - 2*d, 5*d = s*i - 105. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 c when three letters picked without replacement from xxsccxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 84. Calculate the lowest common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 - q + 4. Let z be (0\/3 - 3) + 3. Calculate v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-875))\/((-54)\/30)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 0*j**3 + 0*j**3 + (4 + 1 - 3)*(5*j**5 - 3*j**5 + 0*j**5) + 7*j**5 - 2*j**5 - 4*j**5 - j**4 + 10*j**5 + j**4.\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q + 4*q - 26*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krzzrrryyzyyrbr. What is prob of sequence kbr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/3 + 4567424*q**3\/3 - 9134870*q**2 + 13702328*q\/3 + 45674360\/3 = 0.\nAnswer: -2283718, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**5 - 5*z**3 - 5*z**2 + 3*z - 5. Let u(s) = -s**3 - s**2 + s - 1. Let l(d) = c(d) - 5*u(d). Find the second derivative of l(t) wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2 - h + 8 + 5. Let j be a(7). Put j, 3, -5 in increasing order.\nAnswer: -5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w - 1669. Let v(s) = 190*s + 18345. Calculate 45*f(y) + 4*v(y).\nAnswer: -5*y - 1725","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1\/5*5). Let u = m - -50. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7*y**3\/6 + 3*y**2\/2 + 2*y + 183. Suppose 22 = 4*u + 3*l, -3*l + 6 + 9 = 3*u. Suppose -3*k + 12 = -u*k. Calculate d(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 53 - -103) + -14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 8*q + 7. Let p be m(-1). Let g(z) = -z**3 - 7*z**2 - 4. Let a be g(-7). Sort 6, -1, p, a in increasing order.\nAnswer: a, -1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwbhmmmmku. What is prob of picking 1 b, 2 u, and 1 w?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 137*o - 141*o. Suppose -3*q - 6 = -0, 0 = p + 2*q + 5. Let i(b) = 13*b**2 - 1. What is the smallest common multiple of i(p) and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 13745?\nAnswer: 494820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 190*i**2 + 185*i = 0. What is i?\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-1)\/7)\/((-129)\/(-602)). Solve -b*i + 56 = 44 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)*u**15*(u\/((u\/(((u*u**(-1\/7)*u)\/u)\/u))\/u*u))\/(u**(-9)\/u) assuming u is positive.\nAnswer: u**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 2*q**3 - 5*q + 2*q**4 + 3*q + 4*q**2 - q**3 to l*q**4 + j + h*q**3 + b*q**2 + o*q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, d: 1, j: 2, o: 2}. What is prob of sequence vjjd?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:01 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 28 = -24, 3*u - 12196 = -2*z. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -225, 6\/1273, -0.034?\nAnswer: 6\/1273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 6*g. Let m(n) = 9*n**2 - 36*n**2 + 14*n**2 + 12*n**2. Determine k(m(d)).\nAnswer: 3*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let r(q) be the third derivative of q**8\/6720 - 7*q**5\/30 - 17*q**2. Let s(w) be the third derivative of r(w). What is s(h(l))?\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o. Let w = -1 - -2. Let z be u(w). What is the units digit of ((-44)\/(z + 5))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -9050 - 19539. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192640 is divided by 640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87098700 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*r = -13152 + 4608 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*n + x, 4*n = 2*x - x + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqvncqvqnnnvvrv. Give prob of sequence vc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, h: 1, g: 2, n: 8}. Give prob of sequence gfh.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/13 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60732.3 less than -2.1145?\nAnswer: -60734.4145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18239169 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1725)\/46*12*4\/(-20) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 3*s + 6*s. Let a = -116 + 121. Let i(t) = -a*t + 16*t - 26*t. What is i(w(b))?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 5, k: 1, q: 1, o: 7}. What is prob of picking 1 k, 1 l, and 2 o?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5941, -23721, -53349, -94819, -148125, -213261, -290221, -378999?\n\"Answer: v**3 - 5930*v**2 + 3*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/3, -8.43 in descending order.\nAnswer: -4\/3, -4, -8.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35694 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 785093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -3. Let u = j - 7. Let x be u\/4*(23 + 11). What is the highest common factor of x and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 904171*m + 11754565. Calculate w(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5718 or -11435\/2?\nAnswer: -11435\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 61483.4554 to the nearest 100.\nAnswer: 61500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/9 - d**2\/9 - 17*d\/9 - 5\/3 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 40 = 0. Let r(o) = o**2 - 9*o + 18. Let v be r(j). Let y be (2 + (-9)\/2)*-36. What is the greatest common divisor of y and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202019 (base 11) to base 10\nAnswer: -324784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/63 + 71\/3. Let n = 35 - t. Let o = 90 + n. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 17. Let h(x) be the second derivative of x**3\/3 - 4*x**2 + 5*x. Let m(t) = 7*h(t) - 3*l(t). Let y(o) = -3*o + 3. Calculate 4*m(a) + 7*y(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2067685932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3 - 3*l**2*s - 10*l**2 + 317*s wrt l?\nAnswer: 3*l**2 - 6*l*s - 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71272*j**2*s**3 + 2*j**2*s - 6*j**2 - j*s**3 - 1009*j - 6*s wrt s.\nAnswer: -427632*j**2*s - 6*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/336*4*14\/6 + -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 - 5*c + 2. Let j be 3 + -3 - 32\/(-1). Suppose -4*y - j = -12. Let d be m(y). Solve 4*g = -b + 8, -3*b - 6 = -3*g - d*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.047 - -0.047. Let m = -53 + r. Let s = 108 + m. Which is the biggest value? (a) 1 (b) 6\/11 (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 27. Which is the third biggest value? (a) -0.5 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11898.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -133031133 (base 6) in base 10?\nAnswer: -2663553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51818967 and 12.\nAnswer: 207275868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbblbbbbbbbb. Give prob of picking 1 l and 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 0)\/((-3)\/75). Suppose -k + w = 4*k. Calculate the greatest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479097, 958193, 1437301, 1916427, 2395577, 2874757, 3353973?\nAnswer: 3833231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5980 divide 310248380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -32*u**2 - 12*u + 1836. Let p(k) = -14*k**2 - 5*k + 918. Give 3*m(h) - 7*p(h).\nAnswer: 2*h**2 - h - 918","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124960.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -6*t + 10*t - 2*a, 0 = 5*t + 5*a - 115. Let d be ((-13)\/((-2925)\/t))\/((-4)\/(-110)). Factor d*u + 2\/9*u**3 + 10\/9 + 14\/9*u**2.\nAnswer: 2*(u + 1)**2*(u + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 + 0.5. Let j = i - 8. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h + 1\/4*h**4 - 3*h**2 - 1\/60*h**5 + 0 + 7\/6*h**3. Let w(n) = n**2 - 7*n - 8. Let z = -15 + 22. Calculate z*i(s) + 6*w(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:44 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4268 + 4263.777. Let q = 0.223 + z. Is 1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/947 and -17\/74.\nAnswer: 70078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2. Let t(z) = -z**3 - 10*z**2 + 4. Let u be t(-10). Suppose 3*o - 1 = u*n, -6*n + 4*n = -4*o + 8. Let b(x) = o*x + 3*x - 5*x. Give i(b(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 - 24052208*b\/7 - 72313588709408\/7.\nAnswer: -2*(b + 6013052)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -2\/1051, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1099 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*0.6301553.\nAnswer: 0.100824848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10310032 (base 7) to base 2\nAnswer: -11010101111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 146, 219, 292, 365, 438?\n\"Answer: 73*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -75*a + 120. Let j be m(15). Let o = j + 1800. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 8*j + 13629 = 0. Suppose 0 = 5*h + 3*x - 197 - 553, 3*h = -5*x + 434. Suppose 0 = -6*z + h + j. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e23 + -7?\nAnswer: -e2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:39 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87181.\nAnswer: 87181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (50\/5)\/5. Solve 0 = -n*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-2376)\/(-96) + -19)\/((5 + -4)\/10).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200544 is divided by 475.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3 - 6. Let x(i) = 3*i**2 - 2*i - 10. Let p be x(0). Let u = p - -15. Solve y*q - q = -2*n - 6, -5*q = -u*n - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 216 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/10 + 7*a**4\/12 + 7*a**2. What is the second derivative of g(f) wrt f?\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(425) - sqrt(425))**2 + sqrt(425) + (2 + sqrt(425)*1 + sqrt(425))**2 - ((1 + sqrt(425) + -2 + -1)**2 + 4).\nAnswer: 65*sqrt(17) + 2971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a + 98*a - 51*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 - 4.84. Which is the nearest to 1? (a) -2\/15 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3179364.099 - 4.\nAnswer: 3179360.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 41. Let s = 31 - y. Solve -3 = 4*r - 2*i - 17, 2*i - 6 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 + -187\nAnswer: -188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -148648 divided by 41?\nAnswer: -148648\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909964923 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 187317 equal to 187319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9144 = -7369*l + 7242*l for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558f2f (base 16) to base 8.\nAnswer: 25307457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(32) + (sqrt(2) - (sqrt(242) + -1*sqrt(242)))**2.\nAnswer: 2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.46 - -0.74. Let y = f - 94. Which is the biggest value? (a) 5 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308047 (base 12) to base 4\nAnswer: 2321220313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-35 - -31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-672)*-4 - 6\/14) + (-51)\/(-204).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -22.\nAnswer: -93\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 173285500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**4 + 45307588*v**3 - 217877973*v**2?\nAnswer: -72*v + 271845528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20306 (base 9) to base 2.\nAnswer: -11010000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10100000111 (base 2) to base 14\nAnswer: -67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1959291 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and 12618.\nAnswer: -1476306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 14*j - 11. Let u be k(8). Solve l + l = -t + 2, -3*t = u*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1122*t - 24. Let v be d(7). Let h be v\/40 + 3\/(-4). Suppose -14*j = -9*j - h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34\/3 (b) -199\/3 (c) 3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - 0. Let f(w) = -3*w - 1. Let v(r) = -12*r - 4. Suppose 6 = 6*j - 48. Let b(t) = j*f(t) - 2*v(t). Determine b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t + 53. Let n be x(4). Let k be 14\/n + (-400)\/15. Let g = 0.4 + 0.1. What is the closest to k in -5, -3, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 bigger than -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7\/2)*c)\/(c*c*c\/(c\/(c*c**(-1)*c))))\/(c*c**(-2))**(-33) assuming c is positive.\nAnswer: c**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -0.5 (b) -2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) 1 (b) 5 (c) -10 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence larr when four letters picked without replacement from jlppratptapjrtapppap.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let i be q(-3). Let w be i\/4 - (-405)\/2. Calculate the highest common divisor of 29 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 3768.\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 4. Let p be y(-9). Let o = p + 0. What is the remainder when 36 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 75.8 (b) -0.3 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -379, -4001, -14001, -33571, -65903?\n\"Answer: -532*h**3 + 3*h**2 + 93*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13833418 is divided by 81373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.641 - 1.141. Let z = 2\/139 - 425\/556. Which is the third biggest value? (a) 2 (b) s (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*q = -1, 0 = -2*b - 2*q - 1 + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.09 - 7.09. What is the closest to 1\/3 in 1, 6.5, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219369?\nAnswer: 3, 83, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0057395 and 1.6.\nAnswer: 0.0091832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*y**5 + 185*y**4 + 103*y**2 + 8402311*y.\nAnswer: -520*y**3 + 2220*y**2 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2534 + -35?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 1058 = 36*j. Solve -j = 9*o - 50 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4928 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0978 + -0.0022. Suppose 2*f = -2*u + 10, 2*f + 3*u - 5 = 8. Suppose 4*l = -3*k + 17, f*k + 5*l + 0 = 9. What is the closest to p in 3, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -430\/96723 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35498245 is divided by 4510.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2582*a + 10324. Determine c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -17)\/(-5)*(-5)\/10. Let g(p) = 5*p - p + 7*p. What is g(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139927755 and 9570?\nAnswer: 279855510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 535 + -374. Calculate the remainder when q is divided by 51.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -661198, -1322394, -1983586, -2644774, -3305958?\n\"Answer: 2*x**2 - 661202*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -828279, -828289, -828299, -828309?\nAnswer: -828319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 - 2 = d, -2*n - 18 = -4*d. Let v(c) = -5*c + 10. Let t be v(d). Let j be 75\/t*(-8)\/2. What is the greatest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 10. Let u be (-23)\/3 + 6\/(-18). Let k be b(u). Let d = 103 + -100. Solve c - d = k*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75, -311, -721, -1311, -2087, -3055?\n\"Answer: -k**3 - 81*k**2 + 14*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 9:36 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/11)*k))\/k*k**27\/k*(k\/k**(-34)*k*k*k)\/k**(-6\/13) assuming k is positive.\nAnswer: k**(9062\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.3 - 5.3. Let i = -0.0295 - -3.3295. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43810810 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 2*s**2 - 5*s - 10. Let h(v) = 116*v + 8579. Let m be h(-74). What is a(m)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = -2*q. Suppose -q*t - 44 = -154. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4359075 divided by 9975.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 - (-3 + (-8)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.225?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -143, -213, -283?\n\"Answer: -70*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 24. Suppose 4*u - 448 + 0 = f. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 35, 47, 65, 89?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 66419187.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/48 and 167\/630.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbyybbbb. What is prob of picking 4 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7504, -7250, -6996, -6742?\n\"Answer: 254*y - 7758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 8*x - 4. Suppose 0*c = 2*m + c - 4, 4*c = x*m - 32. Suppose a + 3*a - m = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90042222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, l: 1}. What is prob of picking 2 q?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 2*u**3 + 5*u**3 + (0*u**3 - 2*u**3 + u**3)*(-91 + 189 - 93) in the form n*u**3 + g + r*u**2 + s*u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p - 95. Let b be q(15). Let k(g) be the first derivative of g**3\/3 + 4*g**2 + 9*g - 2. Let l be k(-6). Put b, 1, l in ascending order.\nAnswer: b, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + u + 15, -5*u - 18 = 2*o + 3. Let z be -5*(-1)\/(-5)*-2. Put 1, z, o in decreasing order.\nAnswer: z, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 12*i - 6 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, 4, 25, 56, 97?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 982.5892 decades?\nAnswer: 98.25892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2055992*u - 591640 with respect to u.\nAnswer: 2055992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.25 - -5.19. What is the second smallest value in 17, 5, f, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -42*z**3\/11 - 293*z**2\/11 - 124*z\/11 - 14247. Suppose k(h) = 0. Calculate h.\nAnswer: -31\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k - 9376 + 9372 - 12*k - 21*k.\nAnswer: -11*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/5966388 and 29\/702?\nAnswer: 232689132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -93741\/5, -2\/7?\nAnswer: -93741\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 - 4*u - 1. Let o be l(-3). Let d be 0\/3*o\/(-2). Suppose d*r - 4 = -r. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1367024 - -55.1940024. Let j = 55 - s. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2 (b) -2911 (c) 2313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 0.46. Let h = -6.86 - 0.04. Let k = h - -1.9. Which is the second biggest value? (a) 1 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 2)*(-3 + 1 + 0) - 5 - 4 + 2)*(-3 + 3 + k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 2*r + 2*r + (-r + r + 2*r**2)*(221*r - 205 + 205).\nAnswer: 445*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1*g)*g)\/g)**(3\/31)*g**(2\/7)\/g**(-3) assuming g is positive.\nAnswer: g**(692\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from raarraa?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 188*w**3 + 2*w - 28. Let r(b) = 95*b**3 + b - 15. Calculate 11*r(f) - 6*z(f).\nAnswer: -83*f**3 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2720\/(-907) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66426 and 1242.861105.\nAnswer: 67668.861105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2. Let n be l(4). Suppose n*q = -2*q + 10. Suppose 0 = 4*f - 2*f + q*a - 23, a = 5*f - 17. Solve -p - f*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**2*l**2*u + 104*d**2*l*u - 2*d**2*u + 10*d**2 + 62*d*l**2*u - 24*d*u - 2*d + 5*l**2 - l + 2*u wrt d.\nAnswer: 22*l**2*u + 208*l*u - 4*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 968845649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 748*g**2 + 1 + 3 - 135*g**2 + 20*g**2 + 4*g + 2. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m - 5. Let u be s(-1). Let k be 56\/12 + ((-20)\/6)\/u. Solve 5*y + k*j + 2 + 0 = 0, -2*y + 5*j - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from snlsn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w + 241*w**3 + 41*w - 14*w to the form v*w + m + d*w**2 + u*w**3 and give u.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20252754 - -1?\nAnswer: 1.20252754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 + 244*i**3 - 8*i**2 - 135997*i wrt i.\nAnswer: -12*i**2 + 1464*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51134, 51113, 51070, 51005?\n\"Answer: -11*i**2 + 12*i + 51133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/9)\/(4\/12). Let l(p) = -2*p + 6. Let q(r) = 1. Let v(u) = -l(u) + 10*q(u). Let f be v(m). Solve f*x + 1 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -26. Let i(v) = -v + 5. Let u be i(5). Suppose q - 4*w + u - 6 = 0, 2*q - 12 = 3*w. Solve 2*f - q*f + r = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42840 divided by 3570?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1\/2018, 10 in ascending order.\nAnswer: 1\/2018, 0.04, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -14, -1, 203, -28.\nAnswer: -28, -14, -2, -1, 3, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -22*w - 52. Is o(-10) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -88 - 17*s + 39 + 39. Let v(k) = 4*k + 3. Let w(g) = 2*i(g) + 9*v(g). Determine w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - r**5 + 2*r**5 + (0*r**4 + r**4 + 0*r**4)*(0*r - 6*r - 3*r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100b1 + 19c?\nAnswer: -dd13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -33, 3, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 9*t**4 + 38*t**4 + 5*t**4 - 2*t**4 - t**4 + 2*t**4 + (-3*t + 5*t - 4*t)*(t**3 + 0*t**3 + t**3) + 2*t**4 - 2*t**3 + 2*t**3.\nAnswer: 29*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 + 69 = -29*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*b = -180*b + 3*j + 3, -5*j = -5*b - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.5 + -8?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 109, 164, 219, 274?\n\"Answer: 55*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**2 + 2*r - 2. Let m(x) = -5*x**2 - x + 1. Let q(b) = 7*m(b) + 3*t(b). Let w(h) = -6*h**2 + 3*h + 1. Determine -4*q(g) - w(g).\nAnswer: 2*g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 5*t + 20, -u - 20 = 5*t. Suppose -2*k - 3 + 9 = u. Suppose -4*g - k*h + 22 = 0, -3*h + 20 = 4*g - h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 6*y - 7. Let p(t) = -t**2 + 3*t - 2. Let b be p(2). Let k be (-5 - 0)\/(1 - b). Is w(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*j - 6 + 14, 4*j - 7 = 3*f. Is 12 a factor of f + (4 - 0) + (97 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = 1138 - 6000. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and 30\/178277.\nAnswer: 1782770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**8\/192 - 11*r**7\/420 + 23*r**6\/480 - r**5\/30 + 4*r**2 - 3*r. Let f(y) = 0. Calculate y.\nAnswer: 0, 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 22 = 2*i, 4*i - 3*r - 55 = -16. Solve -z - i = p, 1 = z + 2*p + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 18*f**2 - 23*f + 2. Determine g(-19).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16879*z + 63. Let v be q(-3). Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.199 + -49.251. Let b = v - -52. Let d = b - 0.55057. Round d to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 7*c**2 + 37*c + 16. Give j(-3).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*t - 2556 = -36252 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:38 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 8.\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 765.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14852993 to the power of 1\/2, to the nearest integer?\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 17 - (13 - (3 + -24 + -8))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -35.01765. What is x rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 23. Let s be b(5). Let q(c) = -c**2 + 9*c - 8. Let m be q(s). Let p(j) = j**2. Let k be p(-4). Solve m*y - 4*y = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 2 (c) -13 (d) -4 (e) 2\/727 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (296 - 290) + -1 + 2 + -1 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.1 - 2.1. Let b = f + -6. Let v = 111 + -110. What is the closest to 0.1 in b, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 - 2*j**2 + 2*j**2 - j**5 + 6*j**5 - 4*j**5 + j - 2*j**5 - j + 5*j**5 - j**5 - 3*j**5 + (0*j + j - 2*j)*(-2*j**4 - j**2 + j**2).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**4 - g + 1. Let u(h) = -5*h**4 + 154*h + 103. Let z(d) = u(d) - 3*v(d). What is the derivative of z(m) wrt m?\nAnswer: -8*m**3 + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let k = x - -0.28. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2504 - -5585. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from dddddddddbdbbd.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 73 = -1301. Let l = -1075 + i. Let f be (0 - 1000\/12)*l. Round f to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*d - 2)*(5 - 5 - 2) + (4 - 19 + 12)*(-49 + 49 + 2*d) as f + l*d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*h - d + 34, -3*h + 21 = -5*d. Solve h*j = -5*p + 3*j - 5, 4 = -4*p - 5*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/120 + a**4\/8 - 89*a**3\/3 + a**2\/2 + 234. Let q(w) be the third derivative of u(w). What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/(-25) + -4)*5. Let o(n) = 2224*n**2 - 9*n - 17. Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1434*n + 1972. Let x(o) = 2*o. What is z(x(k))?\nAnswer: -2868*k + 1972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 14. Let k(j) = 3*j - 4. Let q be k(-2). Let z be i(q). Suppose 5*o - z*o = 11. Calculate the remainder when 20 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -2 - (-1 + -1). Let f be (-39)\/(1\/6*z). What is the remainder when 2\/(-4) + f\/(-4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 22. Let c = 287 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbwnsllwz. What is prob of sequence wsw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.062 - -0.042. Put 5, h, -1, 0.5 in descending order.\nAnswer: 5, 0.5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b + 2*b - 11 - 3 - 5 + 0*b. Calculate the remainder when w(8) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 712*v + 2*v**2 - 1185*v - 5*v**2 to the form w*v + s*v**2 + p and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.320727 to one decimal place.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -51) + (-16 - (1 + -6)) + 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 3*j + 6*j.\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.2167 micrometers to centimeters.\nAnswer: 0.07012167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-307)\/(-28) - (6 - (-1276)\/(-203)). Suppose -25\/2*h**3 + 15*h + 25\/4*h**2 + 5 - 5\/2*h**5 - v*h**4 = 0. Calculate h.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 2695*r**2 + 5370*r = 0.\nAnswer: -537, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110964739?\nAnswer: 3110964739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3103 - -113. What are the prime factors of b?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - 1 - (-10 - -12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 80\/32*1784\/10.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 + 96*d**2 - 514*d + 420 = 0.\nAnswer: 1, 5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (12 - (-7 - -10 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - -1)*3\/6. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 1\/60*a**5 + 1\/70*a**7 + 0 - 4*a**2 + 0*a + 1\/336*a**8 + 0*a**4 + 1\/40*a**6 + 0*a**3. Factor x(n).\nAnswer: n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 + 3. Let v(x) = -x**3 - x**2 + 1. Determine -q(g) + 3*v(g).\nAnswer: -4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 18*l**2 - 18*l + 25. Let b(k) = 20*k + 1. What is the remainder when b(1) is divided by g(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137139, 136292, 135441, 134586, 133727, 132864, 131997?\nAnswer: 131126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q**3 - 2*q**3)*(-q - 2*q + 2*q).\nAnswer: q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 9*j**2 + 30*j - 111. Calculate the remainder when 182 is divided by z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5. Let j(s) = -1. Let m(u) = -4*j(u) + q(u). Let r(a) = 3*a - 1. Let h(k) = 2*m(k) - r(k). List the prime factors of h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-14) - (-703)\/35) + 84\/70. Let v(g) = 10*g. Let i(o) = 51*o. Calculate w*v(m) - 4*i(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -p + 4*c, p - 2*c - 10 = 0. Suppose p*k - 36 = -k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 54*m. Let k be g(3). Suppose 7*d - k = 2*d - 2*u, -4*d + 5*u = -123. Suppose -a + d = a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8615554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:07 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0 = -f + 1, 2*c - 31 = 5*f. Suppose 0 = -0*q - 5*q + 2*o + 73, 3*o - c = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 69 = -95. Let r(d) = d**3 - 3*d - 5. Let a be r(-2). Let z(v) = -21*v**3 + 7*v. Let f(p) = -7*p**3 + 2*p. What is a*f(c) + j*z(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) + (sqrt(65)*-1 - sqrt(65))) + sqrt(65) + -2*(sqrt(65) + 1*sqrt(65) + sqrt(65)))\/(sqrt(40)\/(sqrt(72)*3)).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 4. Let a(l) = -4*l - 3. Let c(k) = -2*a(k) - 3*j(k). Suppose -4*m - 2*g = 38, 27 = -2*m - 4*g - 1. Let v be c(m). Solve v*n = -4 - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*l + 3*d, d + 101 = -4*l + 94 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -127, 29 in increasing order.\nAnswer: -127, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31961.86371 + 31962. Round r to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 - 6*y + 5. Let t(q) = -q**2 - 7*q - 6. Let b be t(7). Let w be b\/(-16) - 2\/4. Give j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 - 2*r + 13. Let l be h(4). Solve -l*y - 3*n = 2*n + 25, 0 = -4*y + 4*n - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 316, 317, 318, 319, 320?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1376 by 4.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 - 4.78. Let c = 0.8 - -9.2. Let m = c - 5. Put a, 4, m in increasing order.\nAnswer: a, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 26 = -4*c, 2*b - 3*b + 2*c = 7. What is the second derivative of b*f**5 + 8*f**5 - 2*f + 0*f - 5*f wrt f?\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1512404 or -1512394?\nAnswer: -1512394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4*h - 3. Let w be o(2). Let n be w\/39 - 8\/(-3). Solve -13 = -n*u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 - -413. Let t = r - 201. Is -1\/323 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 12 = 32. Calculate the common denominator of -49\/6 and 1\/(-9)*(-84)\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t + 3. Let v be n(-10). Suppose 0*f = -v*f. Solve f = 5*p + 5*l, 0 = 2*p + l + 4*l + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1*(-2)\/(-4). Let v(d) = -5*d - 1. Let k(l) = -l**2 + 25*l - 88. Let g be k(4). Let b(a) = a. Give g*b(o) + r*v(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.923 * 114\nAnswer: 105.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c - 4*s + 44, -4*s = -12. What is the remainder when c is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9378.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -14*g + 104 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*z = 2695 + 864, 2*i = 5*z + 1467. What is the remainder when i is divided by 54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 35*j**4 + j**2 - 173*j**3 + 170*j**3 - j**2 + 2*j to the form r*j**4 + n*j**3 + w*j + v + d*j**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -668a0a7 (base 11) to base 12\nAnswer: -3b16017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - p - 8. Let j = -460 - -460. Give o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:13 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 26*a = 72. Let t be (1 + (-9)\/5)*5. Is 6 a factor of t\/8 + (-363)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299)*-2)**2)*-4.\nAnswer: -44*sqrt(19) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -22. Suppose -4*g = -4*i + 15 + 17, -3*g - 4*i + t = 0. Is (2095\/15)\/((-1)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/3 - 37*x**3\/3 + 23*x**2 - 43*x\/3 + 7\/3.\nAnswer: (x - 7)*(x - 1)**2*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4967*c**3 + 3*c - 5 - 5077*c**3 + 5 in the form p*c + t + n*c**2 + h*c**3 and give h.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-8)\/(-3))\/((-6)\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(0 + (-12)\/(-80)). Suppose 33 + 12 = 3*z. What is the highest common divisor of z and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/9 + -2)\/(2\/9). Suppose -r*z - 3*c = -4*z - 33, 2*z - c - 53 = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 3000*f**3 + 33685*f**2 + 48000*f - 537680 = 0 for f.\nAnswer: -611, -4, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/178 + -339\/3026. Let k = -44 + 36. Let g = -7.5 - k. What is the closest to 1 in -0.4, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r + 9*r**2 - 29*r**2 - 5 + 10*r**2 + 16*r**2. Let p(n) = -3*n**2 + 3*n + 2. Give -3*o(v) - 7*p(v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/9 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y + 14288. Suppose 4*k - 3579 = 3*k + 4*x, 0 = 2*k - x - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*m - 360*m + 181*m + 245 = 0 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222 + 7\/(28\/(-32))?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84704.56 rounded to the nearest 100?\nAnswer: -84700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -40. What is the remainder when 51 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 16. Let s = 45 - 38. Suppose m*w - s*w = 0. Are 8\/7 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29833279 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000322510059 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383.5*-0.06.\nAnswer: 23.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4878016 divided by -26?\nAnswer: 187616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 2654, 98 in decreasing order.\nAnswer: 2654, 98, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/26684 and 81\/93394.\nAnswer: 186788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 6, o: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110 + 110000010100101?\nAnswer: 101111111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4, -n - 6 = 5*x - 27. Suppose -y = 9 - n. Calculate the lowest common multiple of y and ((-10)\/6)\/(35\/(-42)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.4, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-14)*(-1)\/(-2). Let l(a) be the third derivative of -1\/24*a**4 + 0 - a**2 + m*a**3 + 0*a. Let v(q) = 2*q. Give l(v(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356601 and 327705?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 12414552?\nAnswer: -12414532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -253, -185, -97, 11, 139, 287, 455?\n\"Answer: 10*o**2 + 38*o - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39937 or -39938?\nAnswer: -39938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10396 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxoooxoeoxe. Give prob of sequence exx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b**4 + 34041*b**3 + 15*b**2 + 255156648*b.\nAnswer: 288*b**2 + 204246*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 15, m: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -223 - 26. Let r = 92 + w. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 3*s - 2. Let i be q(-2). Suppose -2*m - 4*a = -7*a - 1, -1 = -m + 2*a. Let p be (-1 - (-1)\/2)*4. Sort i, p, m in decreasing order.\nAnswer: m, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, z: 5, s: 3, b: 7, u: 3}. What is prob of picking 3 b and 1 u?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -4) - (81 - 87)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4591 - 14945. Let g = 41560 + b. Suppose 9*o - g = 3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120570.\nAnswer: 2, 5, 11, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*l + 17. Suppose c = l*c + 16. Let k = 30 + c. What is the least common multiple of k and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 46 = o, 0 = 2*o - 4. Suppose -5*i - 15 = -t, -t + g = -0*t - 3*i. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 869 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -3 + -5 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 1044.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315321631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 5. Let b be f(2). What is the nearest to -2 in 0.5, 2, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38\/31 + -1821\/310. Calculate the common denominator of 11\/31 and s.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 693?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-140)\/8))\/(2\/10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 2061*o - o**3 - 2060*o - 2*o**4 + (2 - 2*o**3 - 2)*(0*o - o - o) to the form z + n*o**4 + h*o + q*o**2 + d*o**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 64*p - 107. Is q(10) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 2*s - 195. Let a be ((-36)\/(-10))\/(15\/s). Let f be a\/35*3*7. What is the highest common divisor of 54 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 13. What is y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37925 and 49815.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 480 - 780 = -2*k, 3*k + 4*l - 1890 = 0. Let z(t) = -k + 7*t + t**2 + t**3 + 631 + 6*t**2. Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177591077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -42. What is the units digit of (n\/(-6))\/((-6)\/72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51448.12g to kilograms.\nAnswer: 51.44812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 3*x + 6*x)*(87 - 24*x - 133*x - 135 + 67)*(-x**2 + 3*x**2 - 4*x**2) in the form j*x**2 + l*x**3 + n + f*x**4 + q*x and give l.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**8\/3920 - 3*u**7\/1960 + u**5\/70 - 5*u**3\/6 - 3*u**2\/2 - u. Let m(q) be the second derivative of p(q). Solve m(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -12?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18160.763 rounded to the nearest 10?\nAnswer: 18160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -51542365?\nAnswer: 51542346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let f(y) = -6823916*y. What is k(f(c))?\nAnswer: -93131659150112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 7:45 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 - 2.23. Let a = q - -2.4. What is the second biggest value in 2, -5\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 (base 15) in base 6?\nAnswer: -3343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -6)\/((-5)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*z = 1, -6*d - 25*d - 4*z + 5 = -34*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {p: 3, z: 1, y: 3, c: 6, d: 2, f: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, x: 3, s: 5, z: 2}. What is prob of sequence sszd?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004425615 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4 - 0. Suppose 2*s = -s + 54. Let y = s - b. Calculate the greatest common factor of y and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 461*j - 559*j + 153*j.\nAnswer: -867*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 - 21\/9. Suppose 0 = -155*g + 76*g + 4345. Calculate the remainder when g is divided by (1 - 2) + (-18)\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*z + 29 = -4*h, 3*z = -15. Let f(m) be the second derivative of 0 - 30*m + 1\/2*m**2 - 1\/6*m**3 - 1\/4*m**4. Determine f(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 33*d + 1 + 32*d + 7*d**2 + (2 - 6 - 2)*(14*d**2 - 2*d**2 - 37*d**2).\nAnswer: 157*d**2 - d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 178, 604, 1418, 2746, 4714, 7448, 11074?\nAnswer: 15718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - k + 2*k + 6 = 0, -3*q + 9 = -3*k. Let u be 6 + (3 + 0 - q). Let j(d) = 0*d + d - u + d - d. Determine j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.85 - -84.95. Let c = -95 + h. What is the third smallest value in 2, c, -2\/39, -1?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7209978117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*t + 169. Let w = t + -477\/7. Suppose -2*s - 2*s = -16. What is the third biggest value in w, s, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 10, 3\/2, 4.\nAnswer: -0.1, 3\/2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11172759 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -17. Let s(q) be the third derivative of -1549999*q**5\/60 + q**4\/12 - q**2. Let k be s(n). What is k rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-12))\/((-1)\/4). Let r(m) = -7*m + 2*m + 2*m**s - 3*m**3 - 3 + 7*m**2. Calculate the remainder when r(5) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 - 6 + q + 5 + 12*q**2 as t*q + s*q**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 24 + (-244 - (159 - 325)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-4 - -9)) + 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h - 46*h**3 - 8 - 13*h**2 + 13*h**2 - 38*h**3 + 57*h**3 wrt h.\nAnswer: -81*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 2)*(-3*n**2 + 4*n**2 - 4*n**2 + 0*n + 0*n + n**2 + (5*n**2 - n**2 - 6*n**2)*(1 + 2 + 0)).\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19923 smaller than 22954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69352226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74 and -1.71?\nAnswer: 75.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -17.88. Let x = 0.5 - u. Let y = 0.46 - x. Which is greater: y or -3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 122454780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102623 or 102645?\nAnswer: 102623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1334 - -1329. What is the biggest value in 1\/5, -3\/2, 1\/6, k, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204374 and 12512?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11241 + 11132. Which is the second biggest value? (a) q (b) -5\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4516 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h - 4. Let q(v) = 11*v + 9. Let y(g) = -4*q(g) - 9*t(g). Let o(x) = 0*x**2 - 31*x + x**2 + 31*x. Give y(o(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x + 3562 - 3562 + (3*x + 4*x - 5*x)*(-1 + 1 + 1))*(0*x + 0*x - x).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6438 and 426822?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3 + 141*q**2 + 285*q - 225.\nAnswer: 3*(q + 5)**2*(5*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 398. Let k(n) = -5*n**2. Give r(k(m)).\nAnswer: 75*m**4 + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*j**2 - 81*j**2 - 18*j**4 + 2*j**4 wrt j?\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 1534 - 1562. Let y(a) = 5*a**2 - 10*a + 14. Let l(n) = 7*n**2 - 10*n + 15. Let p(d) = t*y(d) + 3*l(d). What is p(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t - t + t + (0*t - 2*t - t)*(t - t + 2*t) - 19*t**2 - 23*t**2 + 10*t**2)*(t + 2*t**3 - t).\nAnswer: -74*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a. Calculate z(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15057 and -83\/42.\nAnswer: 30114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - x + 240 = 0, 173 - 13 = 2*u - 4*x. Suppose 5*g + 58 + 22 = 4*p, -3*g = 4*p - u. Calculate the least common multiple of p and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 68*h**2 - 310*h + 131. What is the units digit of t(73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g + 183. Let v(z) = z**2 - 26*z + 155. Let o be v(18). Let w be b(o). Let f(h) = -h**3 + 6*h**2 + 8*h + 10. Calculate f(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168.7 and 0.21.\nAnswer: 35.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 27. Let f be j(-14). Suppose 8*o + 326 = 1214. Let i(p) = 0 + 101*p + 0 + 1 - o*p. Give i(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -5124.\nAnswer: -17\/5124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45244*g**3 + 65935*g**2?\nAnswer: -271464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27031443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9534 minus -9?\nAnswer: -9525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -74 + (1 - (5 + -2)) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 332851, 332854, 332857, 332860, 332863?\n\"Answer: 3*h + 332848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/222 and -49\/15?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -19?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 15 = -w - 5*y, 0 = -w - 3*y + 7. Let a = w + 2. Let r(b) = 8*b**2 + 5*b + 2. Let i(q) = 7*q**2 + 5*q + 2. Let h(n) = 7*i(n) - 6*r(n). Give h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + 3*o**3)*(-157 + 157 - 100*o).\nAnswer: -300*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2. Let r(x) = 3*x + 19. Let q(h) be the first derivative of -h**2\/2 + h + 60. Let c(v) = 4*q(v) + r(v). What is c(j(s))?\nAnswer: 3*s**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 424\/(-265) + (-4)\/10 + 0. Let c(m) = m**2 - 3 + 3. Let s(x) = x. Give w*s(u) + 2*c(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468682 + -10779632\/23. Factor -54\/23*b - g - 18\/23*b**2 - 2\/23*b**3.\nAnswer: -2*(b + 3)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 3*c - 4. Let l be h(5). Let t = 51 - l. Suppose 5*d + 4*o = 50, 2*o = 3*o. Calculate the greatest common divisor of t and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -101*i + 0*i**5 + 2 + 0*i**3 + 265\/2*i**2 + 1\/12*i**4 + 1\/6*i**6. Differentiate f(x) wrt x.\nAnswer: 20*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - (-5)\/((-210)\/72). Suppose -13 = 4*f - 5. Is (17\/f + -3)*t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m - 172. Give d(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-300)\/35)\/((-18)\/11025)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 6, r: 4}. Give prob of sequence frr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)\/m*m**9)**(-30) assuming m is positive.\nAnswer: m**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1832 - 620 = 260*x - 7108 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 41 + 251 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 53 - 73 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17191957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303815, -607799, -911781, -1215761, -1519739, -1823715, -2127689?\nAnswer: -2431661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 0. Let l = -84 + x. Solve -l*h = -12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.56066 to one decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) 2\/7 (d) 3 (e) -367\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319, -14, -5 in ascending order.\nAnswer: -14, -5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*z + 363*z + 172*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from ubmumbbbbbmb?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j**2 + 34*j + 2. Let f be s(1). Let v = 8 - 6. Suppose k = -n + 2, -v*k + 3*n = 6*n - 4. Sort f, -6, k in decreasing order.\nAnswer: k, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 14, 35, 86, 179, 326, 539, 830?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.2 (b) -2\/13 (c) 5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/37722660 and 139\/210?\nAnswer: 264058620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {q: 2, b: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 303360 divided by 20224\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10227, 20540, 30875, 41244, 51659?\n\"Answer: 2*a**3 - a**2 + 10302*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-21) + (-2)\/(-7). Suppose -42*w - 344 = -40*w. Let b = w + 177. Solve 0 = j*k + b + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**2 - 7*r - r**3 - r**3 + 9*r - 7*r**2 to s*r**2 + b*r + k*r**3 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - u + 1. Let g be k(1). Suppose 0 = -z - 2*z + 9. Find the second derivative of g*c + c + c**4 - z*c**4 - c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448042047 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 172642, 172627, 172626, 172645, 172690?\n\"Answer: i**3 + i**2 - 25*i + 172665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.89367014 - 4.\nAnswer: -9.89367014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164, 1711, 5910, 14087, 27568?\n\"Answer: 221*v**3 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-69)*-11*(-18)\/8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*j = 205*j - 877. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13025078 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009 times 0.01405?\nAnswer: -14.17645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1247540722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 1, z: 2, w: 1}. Give prob of picking 1 o and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 31. Let k = -0.0467 + -4.9533. What is the closest to 3 in -1, c, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1007, -8070, -27231, -64538, -126039, -217782, -345815?\nAnswer: -516186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 4431045?\nAnswer: -4431070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 638.2 or 2?\nAnswer: 638.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27495 - -65179. List the prime factors of m.\nAnswer: 2, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.952 - -64. Let c = b + 4.952. Let t = -3.1 - -3. Put c, t, -3 in ascending order.\nAnswer: -3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 163, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**4 + 2*d**4 + (78*d - 40*d - 32*d)*(-d**2 + 2*d**2 - 2*d**2)*(-2*d - d + 2*d).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2443 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:19 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/167, -19, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 1 - 15 = h, -137*h + 5*v + 35 = -132*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 510.9322228?\nAnswer: 511.9322228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6764218153 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) 413\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/20 + 7*v**4\/12 + 2*v**3\/3 - v**2\/2 - 116*v. What is x(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 - 860984*t**3 + 46331701492*t**2 - 92660820048*t + 46329979536 = 0. Calculate t.\nAnswer: 1, 107622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 5*b**2 - 4*b + 1. Let v(s) = -4*s**3 + 2*s**2 - s. Let n be v(1). Let l be (n\/4)\/((-2)\/(-8)). Is k(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((2 + -3)*(-7)\/(-70)). Suppose -w*l + 4107 = 1317. Is l greater than or equal to 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 291 + 234 = 0. Let g = i - -100. Suppose 0 = -5*n - g + 15. Let s(k) = 2*k - 1. Determine s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + 16. Suppose 38 = j*y + 14. Suppose y*d + 2*q = 3*d + 143, 46 = d - q. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*t = -628 - 254 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 9. Let y(g) = 6*g - 26. Suppose 2*q + 17 = -u, -5*u + 176 = -2*q + 189. Determine q*y(w) - 17*l(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and 478.5.\nAnswer: -23446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9462.242ug in kilograms?\nAnswer: 0.000009462242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 3. What is b(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(567) - (5 + sqrt(567) + (1*sqrt(567) - sqrt(567)))**2 - (sqrt(567) + 3)*-1).\nAnswer: -586 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = 4*h, 7*m - 3*m + 8 = -3*h. Let y = -77 - -54. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 2*a - 2. Let x be k(5). Solve 0*p - 4*p + x = -5*s, 0 = -4*p - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8370504*w**4 + 13005*w - 111 wrt w?\nAnswer: -100446048*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548712487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - 6*u - 4. What are the prime factors of d(5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.47721kg in tonnes?\nAnswer: 0.02847721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r**3 - 12*r**2 + 108*r + 1307. What are the prime factors of k(-12)?\nAnswer: 29387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178011.014 to the nearest ten.\nAnswer: -178010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1251522*i**3 - 2682893?\nAnswer: 3754566*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 9, o: 2, c: 1, z: 1}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 21*g - 5*m - 9 = 0, 0 = 2*m. Solve -5*r - g*r = 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, -174, 870, -4 in descending order.\nAnswer: 870, 4, -2, -3, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -45, -114, -211, -336, -489, -670?\n\"Answer: -14*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6358*f**2. Let w(n) = -106*n**2. Calculate -363*w(h) - 6*x(h).\nAnswer: 330*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20) + (-33 - 14058\/(-420)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + -12. Let w = -21 + g. Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, 3, 7 in decreasing order.\nAnswer: 7, 3, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(128) + 0)**2 + (sqrt(200) - 3*1*sqrt(200) - (sqrt(200) - (-2 + 0 + sqrt(200))))**2.\nAnswer: 112*sqrt(2) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-1 + 10 + 91 + -100)) + -39.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-31785)\/2934)\/((-5)\/3))\/((-3)\/(-18))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 19. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620806 is divided by 902?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u = -105*u. Is -2\/17 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.825158 weeks?\nAnswer: 1103855558400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 13212102322?\nAnswer: 13212102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*z**3 + 344*z**6 + 7*z**3 - 87*z**2 + 5*z**3 + z**3 - 22*z**3 - 1 wrt z?\nAnswer: 41280*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6632 + -2194. Let f = -3166 + l. What are the prime factors of f?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19291220*v**5 - 2*v**2 + 6319*v + 99.\nAnswer: -1157473200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12488*j**4 - j**3 - 7593?\nAnswer: -49952*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 2. Let a(s) = -15*s - 17. Let q(h) = -a(h) + 4*p(h). What is q(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**2 + 10*s. Let c(r) = 0*r**2 + 15170 + 15171 - 30341 + 2*r**2. Determine d(c(f)).\nAnswer: -48*f**4 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662615.\nAnswer: 3, 5, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1.7 (c) 14 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4176 + 50005\/12. Calculate the common denominator of b and -31\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 19*b**2 - 20*b + 6. Let k be l(-20). Suppose -y = -k*y + 2405. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufuuuuuuuuuuuuuuuuf. What is prob of picking 4 u?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2115.399 from 9.\nAnswer: -2106.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 19 - 25 = 2*l, x - 2*l - 14 = 0. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34a247 + 0?\nAnswer: 34a247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c**4\/2 - 2519*c**3\/4 - 37201*c**2\/2 - 67461*c\/4 - 3861 = 0. Calculate c.\nAnswer: -143, -36, -1\/2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19*f - 100. What is k(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 4. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1466*h**2 - 275*h + 197*h**2 + 2817*h**2 + 5731*h**2.\nAnswer: 10211*h**2 - 275*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.095026, -4, -598?\nAnswer: -0.095026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 4*z**3 - 19 + 19. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31957 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z - 29*z + 440 = -280. What is the remainder when z is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 38. Let u be (p\/2)\/((-14)\/(-476)). What is the greatest common factor of 34 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 1. Let d be q(3). Let k be 2*(3 - (d + -3)). Let m be (-1)\/k + (-2)\/8. Let l(o) = -o - 6. Give l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11aac44 (base 13) in base 2?\nAnswer: -10101000000101010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7667 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + k = -4*k - 14, 5*l + 3*k = 4. Solve -20 = 5*f + w + w, f - l*w - 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930 is divided by 218.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let o be n(3). Let h be (-10)\/4*3\/30. What is the nearest to h in 0.1, -1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 12 + 7*p - 3*p. Let f be n(7). Suppose 0*s + f = 3*s. What is the closest to -0.1 in -5, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 36491 - 12976 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:32 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1091*l + 1816*l + 1604*l)*(3*l - 5*l + 4*l).\nAnswer: 4658*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -91. Let n be x\/8*(-32)\/(-12). Let f = -5 - n. Calculate the remainder when 38 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40817900 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 - -6?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/15 - 3*c**4\/8 + 8*c**3\/3 - 7*c**2. Let y be s(8). Suppose y = u + 4*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: Let w be ((-94)\/3 - 4)\/2. Which is greater: -18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2982934 months to millennia.\nAnswer: 0.00019152445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5743 (base 8) in base 5?\nAnswer: -44133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664906 is divided by 221356?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 891881.1 decades in millennia?\nAnswer: 8918.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 + 3*f + 2. Let p be s(3). Factor -8*b - 25 + 0*b + p*b - b**2 - 4*b.\nAnswer: -(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8.3345696.\nAnswer: -2.50037088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119 * -2.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnjuvuuinjujnujj. What is prob of picking 1 j and 1 v?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 <= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4 + 3)*(6 - 2). Solve d = -4*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.3 + 27. Let r = 2 - q. What is the smallest value in -2\/7, 3, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 - 43 + 13694*x - 28 - 33)*(3 - 1 + 2) in the form q + k*x and give k.\nAnswer: 54776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31714 + 2?\nAnswer: 31716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/355 and -39\/52469.\nAnswer: 262345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*f + 132*f + 1740. Suppose 2*i = j - 50 - f, -2*j = 2*i - 668. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1925, 5339, 8739, 12119, 15473?\nAnswer: 18795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o - 2*d, d + 4 = -3*d. Let i = 29 - 32. Put -0.2, i, o in increasing order.\nAnswer: i, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -644 (base 7) to base 11.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358169452 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -0.054?\nAnswer: 4.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021 + -20?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-18)*-4*-3. Let d(m) be the first derivative of -3*m - 1\/2*m**2 + 2. What is d(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 r when three letters picked without replacement from vvvvvvakakvr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -26*s + 25*s. Factor -117*c**5 - c**4 - 2 + s*c**2 + 10*c - 79*c**4 + 85*c**5 - 50*c**3.\nAnswer: -2*(c + 1)**3*(4*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416142081 and 18945.\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 68680.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/480)\/(7\/84).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15338 + 46015\/3. Let k = -5\/3 - -13\/6. Which is the closest to k? (a) 5 (b) l (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 5*p**3\/6 - 4*p**2 - 4*p. Let x(t) = t**2. What is x(j(k))?\nAnswer: 25*k**2 - 80*k + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772*z = -1768*z + 3*n - 9, n - 2 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11805*l - 11812*l - 19 + 19. Let h(q) = -2*q + 40. Calculate h(s(m)).\nAnswer: 14*m + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -7ddf?\nAnswer: -7dde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 22*h**2 - 139*h - 26. Determine b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 5\/6 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 259, -3 in decreasing order.\nAnswer: 259, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 2*a**2 + 2*a**2 + (6 + 1 - 2)*(1 - 1 - a**2) - 4*a**2 + 6*a**2 - 3*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 14. Suppose p*n - 5*n = 485. Suppose 4*u + n = 2*v - 5, -63 = -v - 4*u. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*s - 248 = 29*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 192236909.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -1211, -1249, -1313, -1409, -1543?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqs when three letters picked without replacement from sqrsrmmsrqsmq?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucvcosvr. Give prob of sequence cvr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -0.5 (b) -0.4 (c) -16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 30*w**3 - 13*w**2 + 37*w + 32. Let h be s(10). Round h to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.62 - 0.3.\nAnswer: 17.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 609\/(-56) + 1\/(-8). Let l(d) = -9*d**2 - 6. Let h(p) = 17*p**2 + 11. What is z*l(c) - 6*h(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 600 + 594 + 3*l - 1194. Let a(q) = 33*q**2 + 13*q. Determine z(a(b)).\nAnswer: 99*b**2 + 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -885.46 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -75*l + 3. Let x be j(-14). Suppose 9*a = -4*a - x. Let z = a + 724\/9. Find the common denominator of z and -53\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 3. Let c be m(5). What is the units digit of ((-4)\/c)\/(7\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 545*y**3 + 3*y**2 - 2*y. Is 13 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppxapxphah. Give prob of picking 1 x and 1 h.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 17 - 7 = 0. Solve -d*u - u = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = g. Let b = -6 - -2. Sort -3, g, b in decreasing order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/((-3)\/(-9)). Let w(k) = k + 14. Let x be w(4). Suppose 2*m = -4*m + x. Solve -m = -g + h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 3617*k**3 - 3283295*k**2 - 22806175*k = 0. What is k?\nAnswer: -1805, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/2184)\/(195\/819)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12322 is divided by 4101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Suppose -i + 2*s + b = -9, 3*i - s = 28. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 15, 5 in decreasing order.\nAnswer: 15, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146144 and 33952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 16*z - 4*z - 9 + z**2 - 7*z. What is b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.593406 millilitres?\nAnswer: 0.004593406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/7 (b) 2 (c) -1214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-96)\/800)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 10. Let a be d(6). Suppose -4*s = z - 6*z - 39, a*s - 84 = -4*z. Let f(y) = -2*y - 7. Calculate the remainder when s is divided by f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(3\/(-8)). Let z be 108\/18 - (13 + -2). Put z, g, 5 in increasing order.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27856 by -4.\nAnswer: -6964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 (base 9) in base 8?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-17)\/(-153)). Suppose -m*p + 0 = g + 3, g - 3*p - 21 = 0. Let i(h) = -9 + g + 6*h. Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20335\/140*(-544)\/(-952).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*i - 3*i**4 + 25*i - 1 + 30*i as m + j*i**2 + n*i + a*i**4 + b*i**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in 0.4, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 4, a: 8}. What is prob of sequence nnan?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2)*(-1 - (-2)\/3). Suppose t = -m - 19 + 21. Let r be (4 - (-3 - 0)) + -3. Solve -q + 3*b + 15 = 0, -5 = r*q - b + m*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-10))\/3*(-5)\/(-25)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-17 + 36 + -24 + -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 + 8) - 161\/(-28). Let v(q) = -k - 6 - 8 + 9*q + 3. What is the units digit of v(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15479 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (2*sqrt(325) + sqrt(325) - sqrt(325))**2 + -3.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 12) in base 16?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*o)*(84 - 75 - 54)*(2*o - 4*o + 0*o - 4*o + 2*o + 3*o + (2 - 2 - 2*o)*(-2 + 5 - 5)).\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 12 - 6) + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**4 - 2*n**3 - 774*n**2 - 42*n - 3829538 wrt n?\nAnswer: 4*n**3 - 6*n**2 - 1548*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k - 218*k - 14985 = 191*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - ((8 - 4) + -19 + -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116547 and 11728.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8))\/((-39 - -3) + (405\/(-162) - -67))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*z = -158, 237 = 3*a - 117*z + 112*z. Solve -65*k = -a*k - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:50 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 880?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25363 or -25442?\nAnswer: -25363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 30. Suppose 5*j + 2*i - p = -3*i, -i = 0. Suppose 3*z + c = z + 21, 54 = 5*z + j*c. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 - 249148*b\/17 - 7759340738\/17.\nAnswer: -2*(b + 62287)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20302 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, 0, 1, -5 in increasing order.\nAnswer: -5, -2\/11, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/40 - (5 + (-19 - 5)).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48205020 - 48205020 - 24*b**2 + 3*b**2 + 29*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 + 0.55. Let x = o + 0.17. What is the nearest to -1 in x, -4, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5 - 115*m**4 + 3*m - 39 wrt m?\nAnswer: -20*m**3 - 1380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/23647 - 2779\/23647. Sort 59, u, 2 in descending order.\nAnswer: 59, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*24\/224)\/((-18)\/(-21)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 + m + 0 + m - 3. Let v be t(2). Let w be ((-3)\/6 - v)*-2. What is the second smallest value in 2, -4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a second in milliseconds?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:48 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/22)\/(3 - (-17530)\/(-5844)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 2*m**2 - 3*m + 4. Let y be k(-3). Let u(a) = 4*a**2 + 3*a - 9. Let v be u(y). What is v rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 2*p - 14. Let m(k) = k**2 + k + 5. Let x(v) = 4*i(v) + 11*m(v). Let r be (42\/(-28))\/(2\/(-4)). Give x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 14 + 26 = 0. Suppose -z + x*z - 15 = 0, -3*f + z = -1225. What is the highest common factor of f and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321221 is divided by 45886?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 18*v**2 + 3*v - 64. Give y(16).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.00336 or -8\/1487?\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602752 and 747?\nAnswer: 450255744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3539, -8, 3, 8, -4 in decreasing order.\nAnswer: 3539, 8, 3, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2 + -2 + -1 + (-6156)\/(-540). Factor 0*q + 0 - s*q**3 - 4\/5*q**2 + 2\/5*q**4.\nAnswer: 2*q**2*(q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 - 4*c**2 + 8*c. Let w be k(-4). Let l = w + -155. Solve g + 9 = 5*h, -l = -3*g + 4*g - h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 10*k + 15. Calculate the remainder when d(8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) -18 (c) 1\/8 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 187\/1309 + 1*1\/(-7). Suppose f = -13*h + 2994 + 34745. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1021*t - 1017*t - 396 = 0. Calculate the greatest common divisor of 561 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-7)\/((-14)\/24). Let v = 22 + x. List the prime factors of (-12)\/v*(-10)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3927830 - 10918330 = 0. Let x = t - 647625. What is x rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 5 - (1 - (-12 - -4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -0.049?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, -2401\/20, -4?\nAnswer: -2401\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 10*k**2 + 2*k - 3. Let r be f(-10). Let v = 53 + r. Suppose 2*u - 168 - v = 0. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -19750\/6283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 33 - 33 + (1 - 1 + j)*(5*j - j - j) + 16*j + 10*j**2 - 16*j in the form f*j + i + v*j**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d**4 + 4*d**3 - 4*d + 8. Let f(u) = 15*u**4 - 8*u**3 + 8*u - 15. Suppose -y = 2*y - 33. Let c(v) = y*w(v) + 6*f(v). Solve c(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31246942 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h**3 - 6*h**2 - h. Let q(l) = 16*l**3 + 11*l**2 + 2*l. Give 11*m(u) + 6*q(u).\nAnswer: 8*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02650793 - 0.0265. Round f to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1063.8774*-4.\nAnswer: -4255.5096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m. Let y(p) = p**2 - 14*p + 4. Let f be y(14). Suppose j - f*k - 13 = 6*j, -6 = 4*j + k. What is u(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1603*q**2 + q**3 - 801*q**2 - 802*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-114)\/(-27) - 3). Let k = -0.08 + 0.08. Let z = k + 0.1. What is the closest to 1\/4 in z, 2, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 31*q - 15*q - 12*q - 7*q + 12*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3765817 take away -552.1?\nAnswer: -3765264.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 180\/21*(-14)\/(-4). Let p be (-6)\/l - (-80)\/25. Suppose -k + 828 = p*k - 5*i, -k + 214 = -3*i. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 = 7. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383 + -243. Let c(p) = -130*p**3 - p**2 - p + 1. Let s be c(1). Let y = v + s. What is the smallest common multiple of 33 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 3*p = 22 + 35, 0 = -2*o - 2*p - 725 + 723 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 763.4 + -764. What is k rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44144 divided by -16.\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 3*k**4 - 2*k**4)*((-k + 2*k + 0*k)*(3 - 1 - 1) + 3096 - 3096 - 78*k + 4*k + 2*k - 4*k - 7*k - 3*k + k).\nAnswer: -168*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 46, 4 in decreasing order.\nAnswer: 46, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 5*p + 65, 4*x + p = 52. Suppose 0*r = -r + x. Solve 2*i + r = 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - l - 9 = 4*l, -n - 18 = 2*l. Let b be (3 + n\/9)*9. Let w = 8 - b. Solve q = w*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose 16*t - 50 = 6*t. Let x = 156 + -160. Sort t, x, v in ascending order.\nAnswer: x, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2167 - 1227. What is the least common multiple of 200 and u?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -3\/7 (c) -15 (d) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69717616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 30 + 42 + -53?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 2064.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and 75.307.\nAnswer: -4518.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 145b6 - -3?\nAnswer: 145b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w = 739 - 2105 - 856 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.8 - -40.66. Let d = c + -10.9167. What is d rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 3*l - 3. Let z be f(4). Let s be 19\/15 + (-6)\/z. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12842688 by 64.\nAnswer: 200667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23432287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, p: 1, n: 1, y: 1}. What is prob of picking 1 p, 1 d, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.02 + -17. Which is the nearest to 0.1? (a) d (b) -5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (1 - 3))*-1. Suppose -2*h + 747 = d*a, -3*a + 452 = -h + 6*h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2875 is divided by 244.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1442, 1443, 1444, 1445, 1446, 1447?\n\"Answer: d + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.13 in 1\/2, -0.5, -4, 0.3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 716\/1 + -1 + (4 - 7). Let a = m - 65. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*c - 9, l = -6*c + c - 15. Suppose y = 5*y. Suppose y*s + 2*s - 32 = l. What is the smallest common multiple of 20 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354524 (base 6) to base 4.\nAnswer: -13202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242118 and 2?\nAnswer: 242118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459658358?\nAnswer: 2, 23, 1097, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:59 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 917 and 655?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1343*v - 1339*v = 4*d + 68 - 24, 9*d + 100 = -4*v for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -23*j**2 - 3*j - 1. Let c be h(-1). Let s = c - -44. Is s less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 3*a**2 - 16*a - 8. Give j(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m - 234 = -105*m. Solve 4*y - 6*y + 2*h = m, 0 = 5*y - 4*h + 41 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 1093693370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4 + 0*n + 1\/20*n**5 + 0*n**3 + 4*n**2 + 0*n**4. Let c(s) be the second derivative of o(s). Let a(z) = -5*z**2. Give a(c(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 4\/20972*-4860. Let c = 10\/107 + s. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18516 and 2136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754728138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 35870 - 17915 - 17955.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1899 and 5?\nAnswer: 5.1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1 - (-1 - -2)). Find the second derivative of b*z - 13 - 3*z**2 + z + 13 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*f - 17*f**3 - 262*f - 337*f - 4*f**3 + 939*f.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/243 and 43\/45072.\nAnswer: 1216944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 6*y**3 - 14*y**3 - 11*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268.9084 centuries to years.\nAnswer: 26890.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 63 = q, -19*a + 2*q + 167 = 208 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 334470.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4 - 25*k**2 - 4*k - 1 - k**3 + 32*k**2. What are the prime factors of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 2*d + 78. Let x(a) = -2*a**2 - a + 26. Calculate -3*b(m) + 8*x(m).\nAnswer: 2*m**2 - 2*m - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-92)*(-2)\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2630 - 0\/(-1))*(9 - 5). Suppose 10*d - p = -1520. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610336 (base 7) in base 11?\nAnswer: 70776","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 54004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 7*k**2 - 16*k - 32. Give l(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -16\/3, 23, 0, -2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -13.\nAnswer: -13, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2819250 and -87\/501200?\nAnswer: 22554000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21550, 43212, 64994, 86902, 108942, 131120?\nAnswer: 153442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000257 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1058 and 69\/5614?\nAnswer: 2969806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2645.79 to the nearest ten.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 72 = -3*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 9*f + 8)*(4 - 5 + 5)*(-2 + 2 + f**3).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 28. Let g be d(-5). Suppose 23 + g = n. Calculate the remainder when n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-220)\/(-44)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161084 + -0.5?\nAnswer: -161084.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11342 = -2*o - 2*k, 12 = 7*k - 3*k. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2033, -2130, -2549, -3452, -5001, -7358?\nAnswer: -10685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13954855 divided by 13954855.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366633186 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20250 and 47\/64125.\nAnswer: 384750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 190987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 1 - 4\/2. Suppose -3*n - 12 = 0, -2*u - 5*n + 12023 + 20629 = s. Suppose 2*o = -u - 6064. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4570*r**2 - 2288*r**2 - 2284*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1454.027048061 - -18334313.971131939. Let v = u - 18335949. Let f = -181 - v. Round f to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 252 = -b, 2*x - 81*b = -78*b + 106. Solve -34*c = -x - 86 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1.192, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 27 = 10*t. Solve 2*q + 4*h = 4, -3*h - 1 - t = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -2*w - 3400010 = -2*b, -2*w - y*b - 3400025 = -7*b. Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000099127 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -3381.\nAnswer: -1352.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 77, 245, 593, 1187, 2093?\n\"Answer: 11*d**3 - 9*d**2 + 4*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151967*c**3*r**3 + 15*c**3*r - 7*c**2*r**2 - 7*c**2 - 1 wrt r?\nAnswer: 911802*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((-12)\/(-8))\/(4 + 1197\/(-294))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 12) in base 11?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 125. Calculate the remainder when 103 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 715283136 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444593991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 424, 423, 422, 421?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h = h - 3, 0 = -3*k + 4*h + 12. Suppose 0 = 2*r + 3*p - 16, -p = -4 - k. Calculate the remainder when 6 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 7}. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from lmlmllllll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/15188992 and -159\/18986240.\nAnswer: 75944960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 13*o**2 - o + 19. Suppose 80 = -0*q + 8*q. Let u be (q + -11)\/(28\/(-26) - -1). Let f be i(u). Solve -5*c = g - f*g - 20, -g = 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, b: 2}. Give prob of sequence dbd.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201.17 + -204. Let s = j - 0.17. Let n = -10.5 - -10.2. Put s, n, -1 in descending order.\nAnswer: n, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.934 + -30.934. Which is the biggest value? (a) 3 (b) r (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:02 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -990982 divided by 2?\nAnswer: -495491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1230 - -1221. Which is smaller: -157 or n?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(5*2\/150)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 42*p**2 - p - 1806. Give i(43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*p**2 - 3*p**2 - 6*p**4 + (4*p - 4*p + p**3)*(-3*p - p + p) + 106*p**3 - 106*p**3 + 42*p**4.\nAnswer: 33*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(168)*1 + sqrt(168) + sqrt(168) + sqrt(168))\/sqrt(6))\/(6*-2*sqrt(4)) - ((sqrt(77) - 5*sqrt(77)*-1)\/sqrt(11) + 0)).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:24 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3 - 4) + 0)*-471. Suppose -5*f - i = -5*t + 379, -2*t = -4*f - 344. Let d = t - 843\/5. Which is the closest to -2\/7? (a) d (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4720?\nAnswer: 1\/4720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/34 + (-16)\/(-136). Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582339 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -14 - (2 - 2)) + (1 - 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*22*23\/506.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 10) in base 9?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -763*l. Let j(x) be the second derivative of -x**3\/3 - 1274*x. What is v(j(t))?\nAnswer: 1526*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17704 + -17728 + (1 + 0 - -73).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*t = -104*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 65*y + 31876. What is u(214)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/92)\/((-45)\/(-60))*33\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5838 - 5894 + 630*i**2 + 11732.\nAnswer: 630*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -74, -95, -116, -137, -158?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -33*s**2. Let o(t) = 49*t**2 - 18*t + 6. Let d(j) = 146*j**2 - 51*j + 17. Let g(y) = 6*d(y) - 17*o(y). Calculate g(v(a)).\nAnswer: 46827*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 12*p**2 + 9*p - 8. Let d be z(-8). Let h be d\/55 - 2\/(-11). Solve -w + 4*s = -3*w - h, -3 = 3*w - 4*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuh when three letters picked without replacement from {x: 2, u: 8, r: 2, h: 6}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 6*g + 92. Give b(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 216, -13, 8 in ascending order.\nAnswer: -13, 1, 5, 8, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let b be 0*1\/(-2)*1. Let j be s(b). Let c be 6\/27 + (-68)\/(-18). Sort -2, j, c in increasing order.\nAnswer: -2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 28, 31, 56, 109?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98018, 196049, 294080, 392111, 490142?\n\"Answer: 98031*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5 - 45\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:23 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from zoioiiziezroeeioriir?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:46 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihis when four letters picked without replacement from {i: 3, w: 11, l: 3, h: 1, s: 1, f: 1}?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuxxuuujuujxjjc. Give prob of sequence uju.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 59356312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/4))**(7\/3)\/(v**14*v)**(-49) assuming v is positive.\nAnswer: v**(8855\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14309 and -1150.\nAnswer: -16455350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:40 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**6)\/(r**(1\/3))**46*(r**(3\/5)*r\/((r\/r**(-4)*r)\/r)*r*r)**0 assuming r is positive.\nAnswer: r**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-17 - -14)) + (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n. Let m(g) = -1378*g**3 + 39*g**2 + 156*g. What is -78*f(i) + 2*m(i)?\nAnswer: -2756*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1\/(31\/1)). Let k = f - 66. Does 17 divide (-2)\/(2\/k) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001110 (base 3) in base 10?\nAnswer: 28470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(3\/4)*h*h*h*h**(-4\/5)*h*h)**(-29)\/((((h*h\/((h*h*h**(-2\/3))\/h*h*h)*h*h)\/h)\/h**(5\/6))\/(h**(-1\/2)\/h)**(-2)) assuming h is positive.\nAnswer: h**(-9293\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48067*g**2 - 9*g - 769758 wrt g.\nAnswer: -96134*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 3, -4, -60 in ascending order.\nAnswer: -60, -4, -1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*g + 1260 = 0, -2*g = o + o + 498. Let x = o + 261. Which is bigger: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 + (-2 - 1 + 5)*(0 + 2 + 0) + 0 - 1 + 0 + 6 - 2 - 2)*(-g + 3 - 3) + (212 - 212 - 52*g)*(-3 - 4 + 5).\nAnswer: 101*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/110 + 7*z**3\/33 + 6*z**2\/11 - 15*z. Factor h(r).\nAnswer: -2*(r - 3)*(r + 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/2)\/((-115)\/(-15) - 6). Solve 3*y - l - 4 = 0, y - 3*l + 9 + t = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 10*g**2 - 26*g + 20. Let r be w(12). Sort -1, 28, r, 3 in increasing order.\nAnswer: r, -1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8520 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3278, -13170, -29684, -52820, -82578?\nAnswer: -118958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -1, -3, 11 in ascending order.\nAnswer: -3, -1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18487738613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -813, -864, -915, -966?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4881695*-0.3\nAnswer: 1464508.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.27 + 0.27. Let c = -48 + 146\/3. What is the closest to 1 in -2\/13, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 43. Calculate x(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -8*n**3 + 0*n + 27*n**2 + 1\/4*n**4 - 44. What is the tens digit of u(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 - 4*m - 9. Let n(v) = -v**2 - v. Let j(l) = b(l) - 3*n(l). Let z be (-1)\/6*-2*0. Give j(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 32\/6 - (-40)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33130?\nAnswer: 2, 5, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = -5*p + 37, -2*p + 2*f = -4. Let u = -17949 + 17953. Solve u*m = -m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 5.1. Let x = l - 4.46. What is x rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049893 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.58 - 0.58116. Round d to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*b + 182. Suppose 2*d = d + 3, -4*j = 4*d - b. Let n be 9\/j + (-1)\/4. Solve -z = n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40414 (base 6) to base 13\nAnswer: -2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*g, -m - g - 17 = -6*m. Let q be 4 - (3*-50)\/(-3). Let x = -44 - q. Solve -10 = x*p + m*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 + (0 + -1)\/((-2)\/(-4)). Suppose -3*a - 39 = 3*f + f, a + c = -2*f. Is 982\/(f\/(-8) + (-45)\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 + 8*n + 1. Suppose -3*y + 18 = -3*w - 54, 0 = 4*y + w - 86. Suppose 0 = -5*a + 10, -3*i = i - a - y. Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, r: 1, w: 9}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 10 + 8 = -7*x + 2*i, 102*i - 105*i + 49 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 2*j + 4. Let v be m(-3). Suppose 0 = 5*i - 112 + v. Calculate the highest common divisor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 2*(sqrt(55)\/sqrt(5) + -5 + -2)**2).\nAnswer: -354 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -16)\/5 + -6. Let r(v) = -2*v**3 - 4*v**2 - 4*v + 4. Let o(p) = 2*p**3 + 5*p**2 + 5*p - 5. What is z*o(m) - 5*r(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 10}. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -115, -163, -197, -211, -199?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 26225*g + 131106. Determine h(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 3. Let h(p) = 1 - 2 - 3*p - 4*p + 8*p. Let f be (-12)\/(-7) - 14\/(-49). Let m(b) = f*h(b) - 2*u(b). Determine m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -5197?\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 + 2486 = 162*l - 1556 - 2170 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 12*i + 152. Let u be n(7). Let o(m) = -44*m - 132. What is the thousands digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -5*j - 31. Suppose 0 = -5*k + 57 + 48. What is the greatest common factor of k and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -583*t**5\/60 + 127*t**4\/8 - 354*t**2. Find the second derivative of l(p) wrt p.\nAnswer: -1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(114))\/sqrt(6))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6478531351 and -0.68.\nAnswer: 6478531350.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f - 14. Let j be s(-3). Suppose 0 = -j*q + 30*q - 143. Solve q*w = 7*w + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-105)*105\/(-14)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11))**(-37)*u**(4\/17)\/((u*u**5)\/u) assuming u is positive.\nAnswer: u**(-4665\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2 + 4 + 28*o - 4. Let t(b) = -586*b + 15. Let w(h) = -3399*h + 87. Let d(r) = 29*t(r) - 5*w(r). Determine n(d(m)).\nAnswer: 28*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4376115 and 12.\nAnswer: 17504460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96.04 - -93. Let m = 2.74 + o. Let n = -5.1 - -5. Which is the closest to -1? (a) m (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/918414 and 151\/222.\nAnswer: 918414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 0, 5*m + 0*o = -3*o + 36. Let h = -35 + 49. Let a be (-42)\/147 - (-32)\/h. Solve -2*f - m = -0*f - a*w, 0 = w - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79\/7 + 7038\/623. Let t = 173\/445 + a. What is g in 0 - t*g - 2\/5*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 + db534?\nAnswer: db564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4 - (0 + -8). Suppose -9 = -z - q. Let x be (-25000)\/z*(18 - 666). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-5 + 1477\/294)*-2 + 470120\/3381).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42355833.\nAnswer: 3, 13, 1086047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(475) + sqrt(475) + sqrt(475) + -5 - (sqrt(475) - (3*sqrt(475) + 4 - sqrt(475))**2)) + -5.\nAnswer: 90*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72774 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-5 - 33). Let q be z - (-9)\/(6\/(-2)). Calculate the greatest common divisor of 144 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 + 413 + (-16 - (2 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, k: 2, r: 1, d: 1, p: 1}. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7. Let k(i) = -5. Let f(v) = 4*k(v) + 3*z(v). Suppose 4*j = 6*j + 2*b + 20, 2*b = -4*j - 30. Let c(m) = m - 1. Calculate j*f(p) - c(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*i**2*y + 281*h*y + 38*i**2*y - 11*i**2 - i*y wrt i?\nAnswer: 2*h*y + 76*y - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193256 and 40642.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 32 = -3*h. Let d = -5 - h. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2 + 0*m + 6*m**2 + 4\/3*m**3. Find t such that z(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/12942 and 107\/18.\nAnswer: 12942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1345747688 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 3 = 5*a + 3*u, -3*a = u - 11. Let y(v) = -53*v + a*v + 49*v - 12. Let r(s) = 2*s. Give y(r(n)).\nAnswer: 2*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to -1\/2499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -2 in increasing order.\nAnswer: -3, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z + 2*r + 314 = 0, -12 = 4*r. What is the remainder when z is divided by 384\/10 + (-2 - 52\/(-20))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148876571 - -0.9499714.\nAnswer: -148876570.0500286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3 = 3*v, 40*v - w + 3 = 120 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 - 2*a - 9. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.239 + -37.361. Let h = -37.5 - u. Which is the second biggest value? (a) 4 (b) 0.2 (c) h (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2276\/7 - -38687\/119. Let p = -123\/2737 + r. Let i = 74 - 74.1. Sort p, i, 0.5.\nAnswer: i, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12082642 and 4862.\nAnswer: 205404914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001129506 to 6 decimal places.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 20*k**4 + 165*k**3 - 29220*k**2 - 36715*k - 7350 = 0.\nAnswer: -42, -1, -1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 3*x + 3*x + (-248*x - 217316 + 217316)*((-x - x**2 + x)*(-4 + 4 - 2) + 0*x**2 - x**2 - 2*x**2) as f*x**3 + t*x + k + h*x**2 and give f.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 805410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c - 4. Let l be t(-6). Let o(s) = 47*s - 22. Let q be o(l). Let r = q - -405. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131844.2568 to the nearest 100.\nAnswer: 131800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 4*f = 38*m + 33, -9 = 5*m - 8*f. Let a(z) = 3*z - 1. Let h(r) = -7*r + 2. Let t be -2 + (4 - 1 - -2). Let l = 1 - t. Calculate l*h(b) + m*a(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508439 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340 > 6341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1912619\/9730 + -1376\/7. Let m be -14*(-5 + 105564\/22240). Let a = h - m. What is the common denominator of a and 127\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 9. Let j(d) = -30*d + 39. Let y(q) = 6*j(q) + 26*p(q). Let a(r) = -48*r**2 - 2*r + 2*r. Give a(y(i)).\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1118*m**2. Let h(i) = -21*i**2. Determine w(h(f)).\nAnswer: -493038*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 smaller than -251\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0120956 to 4 decimal places.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose -4*d + 2*g + 518 = 0, -r*g + 319 + 214 = 4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426 - 512.4. Let r = w - -79. Let u = 7 + r. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 11.\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + f - 2. Let m be 6\/9*(828\/483)\/(4\/(-14)). Let v(w) = -5*w**2 - w + 4. Calculate m*v(l) - 9*n(l).\nAnswer: 2*l**2 - 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let c(k) be the second derivative of -k**6\/72 - 29*k**3\/3 - 2*k + 17. Let s(w) be the second derivative of c(w). What is q(s(i))?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14885483.3 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + x**2 + 0*x**2 + (2 - 2 + 2*x)*(-4*x + 5*x - 3*x) + (2 - 2 + x)*(x - x - x) + 4*x**2 + 2*x**2 - 3*x**2 as q*x**2 + n + c*x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*t**2 - 90*t - 1341\/5.\nAnswer: -(t + 3)*(t + 447)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5 + 1. Let z(w) be the first derivative of 3*w**3 - w**2 + 3*w - 2. Is z(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -334 (c) -66.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 22. Let u(b) = -b + 4. Let n(x) = 2*o(x) - 11*u(x). Give n(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974592 (base 10) in base 13?\nAnswer: -5419c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5135765380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26807)\/(-5918) + -7 + (-5)\/(-2). Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 2*t**2 - 2*t - 8*t**2.\nAnswer: -12*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:10 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 2. Let g = k - 0.2. Let v = 2138 + -2133. What is the nearest to g in 0, 1, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.36403 micrograms to kilograms.\nAnswer: 0.00000006836403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 5*j + 2. Let f be n(3). Let x = 3 - f. Let o(w) = -2*w**3 - 4*w**2 - 3*w - 2. Let z be o(x). Solve -22 = -z*h - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 22 + j + 22 - 34*j + 38*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341000 rounded to the nearest 10000?\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1708217 divided by 553?\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -4\/7 (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/26)\/((-2)\/(-13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/156*(55\/21 - 3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*j**3 - 25524*j**2 + 76396*j - 2604.\nAnswer: 4*(j - 217)*(j - 3)*(29*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, m: 1, r: 2, o: 1, s: 1}. Give prob of sequence rn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 0.006699896.\nAnswer: -17.993300104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-61)\/3 + 1\/3. Calculate the common denominator of 52\/7 and (-2)\/(-3)*(-282)\/m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 + 48*a**2 + 51*a + 1. Give w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from eeeelelellle?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.369 + -1.369. Sort m, -1\/3, 0.6, -2\/7.\nAnswer: -1\/3, -2\/7, 0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 329*m**4\/4 + 8*m**3 + 49*m**2\/2 + 8*m + 2. What is the tens digit of u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let a = k - 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4931880 divided by 40?\nAnswer: -123297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1653050973\/170 - 9723860. Let z = 317\/17 + h. What is the common denominator of 6\/7 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + 2*j)*(0*j**2 + 4*j**3 + 0*j**2) + (-2 + 2 - 2*j)*(-2*j + 2*j + 2*j**3).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 less than 0.022?\nAnswer: -264.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 233865832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 1 + (-4 - -3). Let y(q) = -6 + 11 + 0 - i - 57*q. Let k be y(-2). What is the greatest common factor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 8291, 18416, 32507, 50564?\nAnswer: 72587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + 1 - ((6 - -22) + -4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xqyqqqxxqxxxqyxqxx.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*c**3*g**3 - 3*c**3*g + 34*c**3 + 2*c**2*g**3 + 36*c**2*g**2 - 61*g**3 wrt g.\nAnswer: 474*c**3 + 12*c**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/70 - u**4\/21 + u**3\/21 - 8*u. Factor y(w).\nAnswer: 2*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*w**4\/5 - 360*w**3 - 5124*w**2\/5 - 16562*w\/15 - 2058\/5 = 0. Calculate w.\nAnswer: -9, -7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 3, p: 1}. What is prob of sequence vvpm?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 190*v**2. Let y(u) = 154*u**2 + 49*u - 49. Let s(m) = -19*m**2 - 6*m + 6. Let x(a) = 49*s(a) + 6*y(a). What is h(x(z))?\nAnswer: 9310*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 = -6*y. Let o = y - 9. Let k = 11 + o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198770 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29679 divided by 21\nAnswer: 9893\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/44*-334 - (-230 + 60 + 189).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 189 = 3*f, -6*g - 4*f + 192 = -g. Let c be 24*(g\/(-8))\/(-9). Solve 0 = -4*y + y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 1731 - 2095 = 0. Solve -s*o + 36 - 134 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 60. Let t = 69 - f. Let l = t - 14. Calculate the smallest common multiple of l and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/98*490\/(-420))\/((-3)\/(-8))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1787, -3767, -5757, -7763, -9791, -11847, -13937, -16067?\n\"Answer: -z**3 + z**2 - 1976*z + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -8, 3, -1\/4, 0.423, 2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/9 (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.08 - 0.02. Let x = v + 5.1. Let b(n) = -n**3 + 5*n**2 + 7*n - 8. Let a be b(6). What is the nearest to 0.1 in a, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/14 and 25\/252856428.\nAnswer: 1769994996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 3. Let t be d(0). Suppose 3*b - 49 = -2*u, -t*u + 5*b = -2*u - 18. Calculate the remainder when u is divided by (1 - -10) + (0 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -21*k**2. Let y(f) be the first derivative of 80*f**3 + 2108. Determine r(y(g)).\nAnswer: -1209600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -295644*r - 295666. What is w(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-918)\/34)\/(-27))\/(-2*1\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003329856 to 6 dps.\nAnswer: -0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26265644 is divided by 5592.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -13*j + 846. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w - 38990 = 38*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 6*c - 11*c + 3, 2*t - 868*c = -863*c - 27 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t + 11*t)*(3 + t**3 - 3)*((-2 - 2 + 3)*(5*t - t - 3*t) - 3 - t + 3).\nAnswer: -22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let j(o) = 442*o. Give f(j(t)).\nAnswer: 195364*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 107\nAnswer: -10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779 divided by -8.\nAnswer: 779\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 15*v**2 + 62*v - 29. Suppose 2*n - 42 = -0*n - 4*o, -5*o = -n. What is the hundreds digit of g(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((44\/32 - 1) + 46852\/(-2912)).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-4)*((-384)\/(-6) + 6). What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135.156 - -135. Let c = l - 4.344. What is c rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q - 1. Let c be j(-1). What is the greatest common divisor of c and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsfj when four letters picked without replacement from {g: 1, v: 1, f: 2, i: 1, j: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**3 + 11871*t**2 - 9*t - 48738466.\nAnswer: 9*t**2 + 23742*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -67. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -171*l - 404. What is c(-4)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/57 and 117\/3040.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12179, -12178, -12177?\nAnswer: -12176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26783 is divided by 2666.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6 - 5*i + 2*i + i**2 + 8*i. Give m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(288) + -1 + -1 + (-2 + 1*sqrt(288))*3)**2.\nAnswer: -384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 275850883 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174577050 rounded to the nearest one million?\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163293 and 5247.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 177*s**3 + 3906*s**2 - 38220*s + 139944.\nAnswer: 3*(s - 17)*(s - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 228*m + 1815. Give v(-7).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047455 to 4 dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 17. What is s(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let q be m(-4). Suppose 2*c = 3*c + q*p + 9, 4*p = c - 12. Let w(x) = x + 8. What is the smallest common multiple of w(c) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142981209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90890?\nAnswer: 2, 5, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 34 = 14. Let x = 6 + n. Calculate the common denominator of 2\/8*15*x and 91\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:40 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-34 - -49) + -30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88035*p*q**3 - 4*p - 3415*q**2 wrt q?\nAnswer: 528210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16749045979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/6880 and 61\/10.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 106379672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.517 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178941, 0.19, 2 in decreasing order.\nAnswer: 178941, 2, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 2*p - 64 = 0, 5*p + 167 = -476*o + 469*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-15)*-24)\/((-5*15\/50)\/(-1))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 0.01 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303470917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 341*v**2 + 22*v - 41. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3276.3041 to the nearest 10.\nAnswer: -3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6)*(-28 - 3). Let n = 126 + s. Let d = n - 54. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2*m*m\/m**1*m**(-3)\/m**(-7)*(m\/m**1)**(2\/35)\/(m**2\/m**3) assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8289, 66277, 223667, 530157, 1035445, 1789229, 2841207?\nAnswer: 4241077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*h + 4 = 0, 118 = 4*v + 2*h + 124 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*b + 120 = 0, -91 = 4*q + 13*b - 226 - 255 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 180c7 (base 13) in base 9?\nAnswer: 70454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -131\/12054?\nAnswer: -131\/12054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5152 = 37*z - 41*z. Let j be 3 - (-7)\/(z\/(-1521228)). Let k = j + 8264. What is the common denominator of -1\/22 and k?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -36. Sort -3\/7, w, -3 in decreasing order.\nAnswer: -3\/7, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 1, f: 1}. What is prob of sequence czc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107\/4 - 27. What is the second biggest value in -2\/3, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7))**3*((z\/((z\/(z\/(z\/z**11)))\/z))\/z)\/z*z*z\/z**(1\/25) assuming z is positive.\nAnswer: z**(2468\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**24*c)\/c)*((c*(c\/c**(-1\/14)*c)\/c*c)\/c)\/c*(((c\/(c*((c*c*c\/c**(-1\/5)*c*c)\/c*c)\/c*c))\/c)\/c)**3 assuming c is positive.\nAnswer: c**(-3117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 20 = 5*t + 5*p, 0 = 3*p. Suppose -6 = -3*j - 3*w, t*j - 3*w - 20 = -5. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/4 + 2*o**3\/3 + 9*o**2\/2 - 4*o + 1. Let u(t) = 3*t - 17. Let m be u(7). Let r be i(m). Solve r = -z + 1 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7))\/h**(-2\/5)*h**(4\/3)*h*h*h*h**(1\/9))\/((h**(-1\/3))**14)**49 assuming h is positive.\nAnswer: h**(10868\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 3, h: 5}. What is prob of sequence hl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 467*a**6\/120 + 179*a**5\/12 + 5*a**2 - 8*a. What is the third derivative of l(x) wrt x?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3696 * -0.167\nAnswer: -0.3957232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -173976 divided by 44\nAnswer: -3954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 188 + -187 - 1\/3. What is the third smallest value in 95, i, -0.3?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 11*d + 19. Let o be l(9). Let c be (o + -1)*(-5)\/10. Suppose 5*b + 2*a - 78 = c, -3*b + 5*a + 22 = -0*a. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-111 + 5 + 9).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748 = 452*q + q + 611 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5163422 divided by 22.\nAnswer: -234701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 351*l**2 - 1761*l - 12. Calculate f(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1258*n**3 + 2*n - 919. Let f(m) = -2518*m**3 - 5*m + 1835. Let l(b) = 4*f(b) + 10*v(b). Differentiate l(j) with respect to j.\nAnswer: 7524*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7449, 59477, 200681, 475647, 928961?\nAnswer: 1605209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271422 is divided by 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398120280.\nAnswer: 2, 3, 5, 17, 195157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 159\/2027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*x**2 - 15214*x**2 - 1 + 1.\nAnswer: -15556*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + p - 2. Let b(g) = -g**3 + 6*g**2 - 3*g - 10. Suppose 4*a + 272 - 292 = 0. Let t be b(a). Determine s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-13 + 16)) + 12 - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 + b + 1 + (-1 - 1 + 0)*(b - b - 7*b).\nAnswer: 15*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -352, -134, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 963*f + 2*f**2 + 49 - 3*f**3 - 965*f + 27 in the form i + g*f**2 + d*f + h*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 20*j + 26. Let n be x(-21). Solve 2*a = 3*a - i + 2, 0 = -n*i + 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0.12, -1, -0.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 480*r - 2. Let i(k) = 113*k. Determine i(g(m)).\nAnswer: -452*m**2 + 54240*m - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7021 and 108409?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14821, 59010, 132615, 235636, 368073, 529926, 721195?\nAnswer: 941880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31399 - -2.9985.\nAnswer: -31396.0015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103377 is divided by 102985?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -652, -1425, -2198, -2971, -3744?\n\"Answer: -773*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27830670 divided by 4.\nAnswer: 13915335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(4\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 1, 150 in descending order.\nAnswer: 150, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 + 12*u**2 - u**2)*(-3*u + 0*u + 5*u) - 3*u**3 + 2*u**3 + 3*u**3 - u**3 + 0*u**3 + 2*u**3 + (3*u**2 + 0*u**2 - 5*u**2)*(0 - 2*u + 0).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 82368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262640 at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m + 2*m**3 + (-23*m - 45*m + 12*m)*(m**2 + 2*m - 2*m) + 3*m**3 + 0*m**3 - 2*m**3 + (-1 - 3*m**2 + 1)*(4*m - m - m) + 0*m**3 - 2*m**3 + 0*m**3.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 37 = -p, 5*p = 5*j + 1449 - 1604 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 59. Let s = 1223.384 - 1227.384. Put s, p, 2\/13 in decreasing order.\nAnswer: p, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37.38, 37, 0.4, -0.5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:17 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10347.1 - -10366.10032. Let z = 60 - 79. Let j = z + m. What is j rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 11. Let l be c(6). Let z be 0 - ((l\/(-1) - 2) + 3). Suppose z*p = 14*p + 24. Calculate the greatest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*r = 21, 8*p + r = 6*p - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*r - 2*r = 99, 0 = c + 4*r - 30. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/1453 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, 50, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -6 + 0)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 829730 and 4764.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2854 - 1267 - 1054 = -23*a. Suppose -4*l + 8*l - 260 = 0. Calculate the remainder when a is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523507 to the power of 1\/2, to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -18. Let n(h) = -3 - j*h + 59*h + 4. Let t be n(2). What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -47 - 2\/(1 + -2). Let h be (-235)\/q - 4\/18. Let t(x) = -x + 1. Let s be t(4). Sort 4, h, s in increasing order.\nAnswer: s, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(3\/((-90)\/4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 16*l + 2. Let h be y(-16). Suppose 4*p + 1270 = 3*p + 4*m, h*p + 2558 = -m. Let f = p + 1819. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1. Let d(y) = y - 1. Let p(b) = 2*b + 18 - 7 - 4. Let f be p(-3). Suppose 2*w - w + f = 0, 5*r - 4*w = -16. Determine r*d(j) - 4*x(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 370 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let z(q) = 17 - 5 - 2 - 3 - 6. Suppose 2*p = 4 - 0. Let i = -3 + p. Determine i*z(d) + 3*a(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3622, 14673, 33152, 59059, 92394, 133157, 181348?\n\"Answer: 3714*b**2 - 91*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 99925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/((-2584)\/102))\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -y + 3*p + 13, -2*y - 2*p = -2. Suppose u + y*c = 12, 3*c = -c - 8. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*n - 9*n. Let g(k) = 7*k**2 - 5*k - 3. Let j(f) = 8*f**2 - 6*f - 4. Determine n*g(u) - 5*j(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - 1) + 765 + -768?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {n: 2, k: 2, h: 4, l: 4, o: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8361)\/(-99) + 24\/44. Let s be (-1 + 3)\/(2\/7). Let l = s - -10. Calculate the greatest common divisor of l and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 71*w**2 + 9*w**2 - 2*w**3 - 63*w.\nAnswer: w*(w - 63)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 5*k + 2*k)*(33*k + 25*k - 50*k) + 0*k + k**2 + 0*k in the form b*k + u + v*k**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r + 36. Let u = -17 + r. Let f = u + 7. Sort 1, f, -1.\nAnswer: -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55452052 (base 6) to base 11.\nAnswer: -a414a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r - 14*r + 6*r - 3 - 7*r. Calculate h(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742373 take away -479?\nAnswer: -741894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.64 (b) 60 (c) -3 (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 773749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001477094 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-8*u + 3*u + 3*u)*(0*u + 11*u**2 + 0*u) + 3*u - 3*u + 2*u**3)*(101 - 53 - 58) in the form b*u**3 + r + g*u**2 + p*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6914*c - 55293. Determine n(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 57. Let n be t(-16). Let k be ((-13)\/n)\/(1\/6). Let s(h) = -186*h**k - h + 188*h**2 + h. Let g(c) = -7*c**2. Give g(s(d)).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.104*-4.9558.\nAnswer: -30.2502032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9965 and 866955?\nAnswer: 866955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -200.064. Let l = z - -0.064. Which is the second smallest value? (a) 4 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4102 + -2407. Suppose -3*q + g = -516. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2731*r + 5136 = -2728*r. What are the prime factors of r?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7721 + 0.77196741. What is y rounded to six dps?\nAnswer: -0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -53, -44, -33?\n\"Answer: w**2 + 4*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2) + (-3)\/12*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -0.5, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267547 + 269420 - 524346)*(y - y + y)*(3*y**4 - y**4 - 3*y**4).\nAnswer: -12621*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 440, 437, 430, 419?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:09 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*1*sqrt(147))**2 + ((sqrt(432) + sqrt(432)*-2)*1 + sqrt(432))\/sqrt(9).\nAnswer: 10584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eev when three letters picked without replacement from nnnnvenabnbnneabbnnb.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.844 minus 1919?\nAnswer: -1886.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161700)\/6510 - (4 - 34 - -5).\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2530.826 + -2528. Let y = q + -2.9. Round y to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1628\/32 + 11 - (-1)\/8. Find the third derivative of 5*i**3 + 19*i**2 + x*i**3 + 53*i**3 - 2*i + 23*i**3 wrt i.\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**7\/1785 + p**5\/170 + p**4\/102 - 18*p**2. Factor z(j).\nAnswer: -2*j*(j - 2)*(j + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1054, -747, -440, -133, 174?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8.0015. Let p = -0.016 + w. What is p rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2240601 and 65\/6.\nAnswer: 4481202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*v - 3 + 1 - 40*v - 39*v to the form n*v + w and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 + 7*i + 5. Calculate o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)\/w*w**(-1\/2)*(w**7\/w*w)\/w*w*((w*(w*(w*((w*w\/w**1*w)\/w)\/w)\/w)\/w)\/w)\/w assuming w is positive.\nAnswer: w**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 2*u - 1. Let q be f(-1). Suppose 0 = 5*a + q*c + 6, -2*a = -4*c + c - 9. Let s(z) = z**3 - z**2 - z - 5. Determine s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-30)\/(-8). Let o = x + 9. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/25)\/(-16) + 10\/125. Solve -p = 3*c + 4, u*c + 27 = 3*p - 4*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -232*w - 1164. Calculate q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 - -0.075. Which is the fourth smallest value? (a) 1\/3 (b) o (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gga when three letters picked without replacement from {r: 5, g: 6, a: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183461608 and 56?\nAnswer: 1284231256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 1894 = 1508. Suppose 3*l - 242 - 133 = 0. Are l and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k\/((k\/((k**6*k)\/k*k))\/k*k))*k*k))\/(k\/k**(3\/4)))**19*(k**6*k*k**4*k)\/((k*k\/k**(-1\/5))\/(k*k\/k**3*k*k)) assuming k is positive.\nAnswer: k**(1641\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3754 at least as big as 8899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -0.2, 5, 0.2, -0.5, 13555 in descending order.\nAnswer: 13555, 5, 1.5, 0.2, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 676 in -1\/419, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 (base 16) in base 3?\nAnswer: -2111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 22. Suppose 5*r + 3 = -n. What are the prime factors of -1 + -3*(-15 + r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-1)\/(-2). Let w be (-57)\/6*(n + -1). Find the third derivative of 4*v**5 - 19*v**3 - 3*v**5 + w*v**3 - v**2 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -631974.\nAnswer: -126394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2 = -14*v + 15*v, -4*y = 3*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/6)*g\/g**(-6\/5)*(g\/(g\/g**(1\/2)))\/(g*g**(1\/8)*g*g) assuming g is positive.\nAnswer: g**(-71\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 9 = 0. What is the closest to 1 in u, -2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1412422991159.\nAnswer: 1412422991155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**3 - 2*g + 5274 + 2*g + 4869 - 10143.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**5\/5 - k**4\/4 - k**3\/3 - k**2\/2 + 12. Let j(f) = 7*f**4 + 3*f**3 - 7*f**2 - 7*f. Let a(p) = j(p) - 2*n(p). Factor a(x).\nAnswer: 5*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 - 2*i - 2. Let n = -8 - -6. Let y be h(n). List the prime factors of 2\/(-4)*(y - 24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -84. Let k = 51 - 24. Suppose -k = -f*r + 33. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 242*r**2 + 2*r. Let i be o(1). Solve -45*j**5 + 200*j + 60 - 155*j**3 + 135*j**2 - 235*j**4 - 204*j**4 + i*j**4 = 0.\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from mnmlmnmnlnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 + 8*u**4 - 4 - 2*u - 3*u**3 - 6*u**4 in the form b*u + j*u**3 + q*u**4 + a*u**2 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 + 54*b + 6. Let c(j) = j**2 + 1. Suppose -90 = 305*i - 320*i. Let m(u) = i*c(u) - f(u). Factor m(t).\nAnswer: -2*t*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u + 1. Let p(z) = 3*z + z**2 - 20 + 2*z + 35 - 14. Give -6*p(n) + 5*y(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 904144*z**3 + 4*z**2 - 8402*z - 1.\nAnswer: 5424864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 174002304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392 + -171. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.53 - -0.03. Let o = d + -0.5. Which is the biggest value? (a) 7 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3289 or -1?\nAnswer: -2\/3289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29150 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/((-4)\/5*30\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 1, k: 4, u: 2}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1885 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2721 + 2715.705. What is t rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 - (-615)\/(-135) and -109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 274865, 274868, 274873, 274880, 274889?\n\"Answer: v**2 + 274864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1130 and 5930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5949 is divided by 391.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-72)*-3*33)\/((-2)\/(-8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 2\/499 (c) -10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2*f**4 + 5*f**3\/3 + 2*f + 3. Let h be b(-4). Suppose 0 = -z + 3*o + 116, 5*z - h = -o + 2*o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -50, -170, -394, -758, -1298?\n\"Answer: -6*n**3 + 2*n**2 - 16*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a**2 - 41*a - 1. What is d(-7)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7) + (-26 - 75072\/(-2912))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35407\/6 - 5888. Calculate the common denominator of 44\/27 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**4*s))\/s)\/(s\/s**(4\/21)) assuming s is positive.\nAnswer: s**(-122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 30*h - 12. Let y be v(10). What is the highest common divisor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = 0, -2*n = 357*x - 356*x - 165. What is the least common multiple of n and 35?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*12\/27 + 0. Let v = 1 + -4. Let w = v - -3.3. What is the closest to 1\/4 in w, -1, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -86. Solve 1 = p*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + 46. Let f be u(7). Let g be (-197)\/(-13) + f\/65. Determine r so that -3\/2*r + 0 - g*r**3 - 39\/4*r**2 = 0.\nAnswer: -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.663218l to millilitres.\nAnswer: 663.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-473851)\/(-77) - (-4 - 172\/(-44)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 12*k - 20. Let o be f(9). Suppose -9*x - 33 = -12*x. Let g(y) = -17*y + 35. Let r(v) = -6*v + 12. Let h(i) = x*r(i) - 4*g(i). Give h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = p - 21 - 0, 5*p = -u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 divided by -31?\nAnswer: -569\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 13. Let a(f) = -447*f - 42. Let c be a(l). What is c rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y**4 + 206*y**3 + 400*y**2 + 219*y - 9. Let h(g) = 5*g**4 - 103*g**3 - 201*g**2 - 109*g + 4. Let i(v) = 9*h(v) + 4*s(v). Factor i(r).\nAnswer: r*(r - 105)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*p, -5*s = -p - 3*p. Suppose h - m = 3*m + 231, s = 4*h - 3*m - 898. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162827951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 10*y - 10. Let z be f(-9). Let d = -1257\/7 - z. Solve -8\/7*x**2 - d*x - 2\/7*x**3 - 4\/7 = 0 for x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33c - 4?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) + 2)*2.\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 300, -141 in increasing order.\nAnswer: -141, 4, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -394473.8\nAnswer: -78894.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b + 2*g + g, -b - 3*g = -13. Let f be 1\/(b*3\/18). Is 1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41779*n + 2*n**2 + 41778*n - 2*n**2 - 83557*n - 7*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = -3. Let y(x) = 5*x**3 - x**2 - x + 1. Let u be y(h). Factor -6*t**4 + 2*t**3 + 3*t**u - 4*t**3 + t**4.\nAnswer: -2*t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 - 4*q - 2. What is y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241113.\nAnswer: 3, 179, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 765*z**2 + 4698*z = 0?\nAnswer: -6, 0, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 11*b - 12 = -13*b, -8*r + 4*b - 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 127, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 3*y)*(2*y**2 + 2*y**2 - 2*y**2) + 20*y**2 - 50*y**2 + 108 - 140*y**3 + 30*y**2 - 261*y**3.\nAnswer: -403*y**3 + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.8015um to meters.\nAnswer: 0.0001428015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/8)\/7*(-6)\/13*(-6508)\/(-19524).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29154.\nAnswer: 2, 3, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 4, a: 2, d: 3, r: 2}. Give prob of picking 2 k, 1 d, and 1 a.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4003340 (base 5) to base 10.\nAnswer: 62970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353\/7 + -50. Which is the closest to -4? (a) p (b) -2\/11 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*b + 98. Solve -7*r**4 + 42*r**3 + b*r**4 + 21*r**2 + 3*r**3 + 3*r = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + 40\/6. Suppose 0*d - 22 = 11*d. Let c be 0 - (-3 + d\/(-2)*0). Calculate the greatest common factor of s and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -17.67\nAnswer: -88.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 355*s - 357*s - 4*c, -5*s + 10 = 2*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 261\/(-63) - -1*4. Which is the biggest value? (a) -4 (b) s (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.038, -0.1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1016*h + 1014*h + 17173, -17203 = -b + 3*h. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -3410, -7560, -13392, -20918, -30150, -41100?\nAnswer: -53780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38790 + 86577. Suppose s = 13*w - 6007. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5452 is divided by 5201.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14521 by -44.\nAnswer: -14521\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4192257 and -4192241 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10310011 + -3?\nAnswer: -10310020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112, -135, -156, -175, -192, -207, -220?\n\"Answer: v**2 - 26*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.07729?\nAnswer: 0.47729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273502 is divided by 27328.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8850*c**2 + 1 - 10678*c**2 - 16330*c**2 - 1.\nAnswer: -35858*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*v = 3*v - 18, 25 = 5*v. Let n be (-161)\/(-63) + -2 - 12\/216. Let a be 2 - (2 - -1)*1. What is the nearest to o in a, n, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 3*b**2 - 45*b + 8. What is r(8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2147145988 to the nearest integer?\nAnswer: 46337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 4*s - 4*p - 277, 8 = -4*s + 6*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221 - 1243 - 64658*l**4 - 523 + 63493*l**4 + 419 with respect to l.\nAnswer: -4660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261349024.\nAnswer: 2, 17, 173, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1081 - 0.0066747983.\nAnswer: -1081.0066747983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540\/(60\/5) + -5 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, x: 2, u: 6}. Give prob of picking 2 u and 1 h.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -871*c**3 - 2*c**2 + 3158*c?\nAnswer: -5226*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * 144377.\nAnswer: -46200.64","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*r + 5, 5*r + 10 = 59*x - 56*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (30 + -47 + 75).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245 - 239.98. Let g = -0.02 + a. Let p = -109\/21 - -16\/3. Sort -3, g, p in descending order.\nAnswer: g, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6408, -12818, -19232, -25650?\n\"Answer: -2*q**2 - 6404*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u + 13*u**4 + 23*u + 2 + u**2 + 3*u**3 - 10*u - 4*u - 3*u**2 to the form l*u**3 + h*u**2 + i*u**4 + x*u + d and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1 + -1) - 21\/6. Let r = -76.9 - -76.5. Let v = 4 - -1. Which is the smallest value? (a) r (b) 0 (c) z (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(-1 + sqrt(684)) + sqrt(684) + 5 + 4 + -2*6*(2 + sqrt(684)))**2.\nAnswer: 1080*sqrt(19) + 153936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -375501*q**5*y**3 + 24*q + 282725*y**3 wrt q.\nAnswer: -7510020*q**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 1, c: 5, i: 2, g: 1, o: 2}. What is prob of sequence mzio?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2\/2 - 10*l + 13. Let i = 13 - 6. Let c be n(i). What is the biggest value in 0.4, 2\/7, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4474 - 87?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.1747\nAnswer: 1.5723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 563956.\nAnswer: -11279.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/72063 and -86\/88077.\nAnswer: 792693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 112*n**2. Let w(t) be the third derivative of -t**5\/60 - 16*t**2 + t. Determine w(o(q)).\nAnswer: -12544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.175 (b) 2 (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 - 8 - (-6 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + 1167*n - 1170*n, 3*n = u - 21 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141574746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*y - 5661148*i + 122678301*y wrt i.\nAnswer: -2*y - 5661148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414.9 + -415. Let y = 41\/7 + -6. Let b be 8\/(-15)*20\/((-1040)\/(-39)). Sort y, b, m in increasing order.\nAnswer: b, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5130 divided by 114.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 14*y. Let z(g) be the second derivative of -g**5\/15 + 257*g**2\/2 - 123*g. Let d(m) be the first derivative of z(m). Give d(u(b)).\nAnswer: -16*b**4 - 224*b**3 - 784*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 34*n - 20*n - 104*n - 64*n + 105*n + 0 + 0 + 2*n + (4 - 5 - 1)*(-3 - 2*n + 3).\nAnswer: -115*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 29*d - d**3 + 5*d**3 - d**2 - 26*d + d**4 + 13 as q*d**2 + f + z*d**4 + r*d**3 + t*d and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0935 - -0.0135. Round i to three decimal places.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2355132*q + 2. Let h(f) = 2*f. Determine h(k(l)).\nAnswer: -4710264*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**2 + t - 2. Let w be s(2). Suppose 0*q + 3*q = w. Calculate the greatest common factor of 132 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59751?\nAnswer: 3, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-290)\/(-2465)*(-1 + -22)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99.03094us?\nAnswer: 0.00009903094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1900547 (base 10) to base 11.\nAnswer: -1088a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5078, 9545, 14006, 18455, 22886, 27293, 31670?\n\"Answer: -p**3 + 3*p**2 + 4465*p + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 92955?\nAnswer: 1301370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 7, c: 3}. Give prob of sequence jc.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2 - 8*w + 23. Is n(-7) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -0.1, -2164, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -0.1, -3, -2164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0620015532 to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, w: 8, y: 2, p: 2}. What is prob of sequence yz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715 is divided by 10250\/330 + (-22)\/363.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from thy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 25*s + 11*s + 6*s + 10.\nAnswer: 3*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 306 - 234. Let r be (-15)\/(-2)*120\/v. Suppose a - 52 = r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15271145.\nAnswer: 5, 3054229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, 2, 17\/3, -4, 1\/421?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 118 + (-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.2. What is the third biggest value in n, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/32 + -3)*(2 - 10). Suppose -4*o = 11 + 5. Put o, i, 3, 5 in decreasing order.\nAnswer: i, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - 53. Let y be d\/(3\/(42\/4)). Let j = y + 133. Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Let r(j) = -28*j + 54. Let y be r(2). Put y, 8, k in decreasing order.\nAnswer: 8, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300) - (sqrt(300) - sqrt(300)*-1)) + -1)**2 + 2.\nAnswer: -40*sqrt(3) + 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, 4, 14, -1 in increasing order.\nAnswer: -1, 4, 5, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 12*n**2 + 16*n - 14. Suppose 5*u = v - 3, -3*v = 5*u + 10 - 59. Is h(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = -16. Let c(f) = -f**3 - 4*f**2 - 2*f + 4. Let l be c(a). Let u = -1 + l. Solve 7*q - 4*q + 6 = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)\/(c*c**12*c*c)*(c*c\/(((c**20\/c)\/c)\/c))**(-37) assuming c is positive.\nAnswer: c**(4862\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -32*l + 28*l + 4*b, 19 - 28 = -3*l - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3110841 decades in months?\nAnswer: 37.330092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b + 125 + 105*b**3 - 3*b**2 - b**2 - 138 + 3*b**2. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-3)\/(-3))\/2)\/(-1))\/((15402\/151)\/14892).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 124, -4207, 0?\nAnswer: -4207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o - 5. Let p = -4 - -13. Let j(a) = 14*a - 6*a - p*a - a. What is k(j(i))?\nAnswer: -14*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39920429 is divided by 883?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 4*j + 40. Solve -3*p + 7*p - 4*u = -j, 0 = 3*p + u - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 241 - 691. Suppose 3*a + 0*a = b - 73, 5*b + 2*a = x. Suppose 0*q = q - 15. What is the remainder when b is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 15 = -4*w, -15 + 21 = -4*z - 2*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*(w\/(w\/(w\/((w**(1\/4)\/w*w*w)\/w))))\/w)\/w)\/w**(3\/5))**(2\/15) assuming w is positive.\nAnswer: w**(1\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let l(o) = -126*o. Calculate l(a(k)).\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 4, t: 9}. Give prob of sequence mmut.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 3 (c) -0.057 (d) -184 (e) 4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 419, 959, 1643, 2519?\nAnswer: 3635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000571201 rounded to seven decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39881126 + 2.40477\nAnswer: 39881128.40477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-105)\/(-56))\/(5\/4) - 31\/(-2). Solve 0 = 6*d - h*d - 55 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 6:46 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 82*b - 317. What is j(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10284*s**6 - 3199*s**4 + 78157247*s**2.\nAnswer: 1234080*s**3 - 76776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101220122102 (base 3) in base 11?\nAnswer: -13741a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 345905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 14*x + 16 = 0. Let b = -1 + 0.5. Let v = 0.3 - b. Sort -5, x, v in descending order.\nAnswer: v, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837021 greater than 3837027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4915, -8827, -12735, -16639, -20539, -24435, -28327?\nAnswer: -32215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ipqlt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-256)\/(-86) + (-2817)\/(-121131). Let a(t) be the second derivative of t**4\/12 + t**2 - t. Calculate a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.004 - -2. Let q = f + 0.078. Round q to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2390 = -i, -4*i - 2*b + 11560 - 2006 = 0. List the prime factors of i.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 = -7*u. Let a(p) = 5*p + 1. Let t(r) = 6*r + 2. Let h(w) = u*t(w) - 3*a(w). What are the prime factors of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*s = -5*p + 11, s = 3*p - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*o - 202*o + 5515 - 5515 to the form j + y*o and give y.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2082\/403 - 640985\/129766. Calculate the common denominator of i and -48\/5.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + 0)*-4 - 2*sqrt(117)*-3) + 2 + 2*((sqrt(117) - 6*(sqrt(117) + 1 + sqrt(117)))**2 - sqrt(117)) + 5.\nAnswer: 780*sqrt(13) + 28393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*a**2 - 678*a**2 + 3177*a**2.\nAnswer: 3014*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.34, -816\/11, -4 in increasing order.\nAnswer: -816\/11, -4, -0.34, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 18*n + 213 + 215 = 84*z, -21 = -3*z + 3*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g + 14*g + 7*g. Let z(s) = -269*s + 446*s + 2*s**2 - 177*s. What is x(z(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + l + 14 = 0, 43 = -3*d - 2*l - 0. Let z be (-3)\/d - (-198)\/10. What is the greatest common divisor of z and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2736) + 1 - sqrt(2736)) - sqrt(2736))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k**3 - 205*k**2 + 13*k - 18. Let t be j(12). Let d(u) = -11*u**3 - 7. Let x(c) = -32*c**3 - 20. Give t*x(l) + 17*d(l).\nAnswer: 5*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c - 5. Suppose 10 = 3*q - 4*b, q + c*b + 3 = 1. Calculate the greatest common divisor of 14 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 12 + -49 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -430?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 24*p**2 + 44*p - 17. Is y(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6329 - 6329 - 171*h**2)*(4*h**2 - 3*h**2 - 2*h**2).\nAnswer: 171*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 + 1135450?\nAnswer: 1135555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**2 + 4*l + 4. Let u(a) = 10*a**2 - 3*a - 3. Calculate 4*u(i) + 3*x(i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1522, 7, -2, 0, -19, -3 in ascending order.\nAnswer: -1522, -19, -3, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(112) + -2 + sqrt(28))**2 - (3 + (sqrt(1008)*-2)**2))*6.\nAnswer: -22692 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*0\/(-19)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = 5*j, -6 - 10 = -2*j + 5*r. Suppose 4*v = -4*p + 2*p + 42, -j*v + 35 = 5*p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**8\/84 + w**4\/12 + w**2\/2 + w. Let t(o) be the first derivative of r(o). Find the second derivative of t(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 55*i - 251. Calculate b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426 by 6.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 + 5*a**2 + a**2)*(-2*a - 2*a + 9*a) - 30 + 20*a**3 + 30.\nAnswer: 85*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 72*c + 798. What is the units digit of j(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 3?\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/115 and -41\/78880.\nAnswer: 1814240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 6*h = -2*w - 1, 2*h - 3*w = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 25. Let z(o) = -4*o - 15. Suppose 8*t + 43 = -77. Let u be z(t). Calculate the greatest common factor of r and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 3*u**5 + 0*u**5 + (2 - 2 + 2)*(-3*u**5 + u**5 + 3*u**5) + (-1 + 1 + 2*u**4)*(484 + 288*u - 484).\nAnswer: 579*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let b(t) = 4*t**2 - 3*t + 2. Does 12 divide b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -1. Sort c, 0.5, -3.\nAnswer: c, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*w + 378 = -584*w + 298*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/((-4)\/(-6)). Let r be 3\/(-3) - (b - 21). Let g = 12 + 2. What is the highest common factor of r and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*k**2 - 509*k**2 + 336*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 0.1796, -0.2?\nAnswer: 0.1796","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03849 and 0.08.\nAnswer: -0.0030792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 539351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 14*k**2 - 12*k + 48. Let h be a(-15). Let n(y) = -y + 3. Let o(l) = -3. Calculate h*n(z) + 4*o(z).\nAnswer: -3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/30 - 195*r**2. Let u(m) = 2*m**2 - 1. Calculate u(h(y)).\nAnswer: 8*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*x = -153*x - 833. Calculate the remainder when 198 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - -0.28. Let a be 2\/((-3 + 2)*2). Let i be 54\/120 - a\/(-5). What is the smallest value in j, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/608522 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -231825099598+-0.5\nAnswer: -231825099598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92860480 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-816)\/120*1650\/1540.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, 3, -21503832 in descending order.\nAnswer: 3, -0.1, -4, -21503832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2724\/553 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14533*o**3 + 223025*o**3 + 4856*o**3.\nAnswer: 213348*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 501, -7.\nAnswer: -7, 4, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 1915*c**4 - 186870*c**3 - 5575660*c**2 - 20121080*c - 19404000 = 0. Calculate c.\nAnswer: -252, -77, -50, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6*m - 2*x - 6 = 0, -m - 11 = -5*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p - 1. What are the prime factors of a(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1600 divide 6420800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0 + 0)*(3*a + 0*a - a) - 1099*a**2 + 1104*a**2 + 36 + 8.\nAnswer: a**2 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 4. Let o = 21 + -13. Let c(a) = 11 + o - 10*a - 4*a - 8. Let x(b) = 4*c(b) + 11*n(b). Let m(r) = -4*r. Give x(m(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r - 6. Suppose -a = 4, 0 = -3*d + 5*a + 24 - 4. Determine i(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 + 8*n. Let k be t(-2). Let r = -2 + -7. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixg when three letters picked without replacement from {x: 1, g: 4, k: 1, q: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(1012\/(-16)))\/(9*18\/81).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - -14118113\nAnswer: 14118113.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31188 + 31196. Let g(k) = -k**3 + 12*k**2 - 35*k + 14. What is g(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 83 + 23 = 0. Solve 2*w + 7*v + x = 2*v, w + 3 = -v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2\/15 (c) -14 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842970.\nAnswer: 2, 5, 17, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 219.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5\/5 - 9*v**4\/5 - 27*v**3\/5 + 93*v**2\/5 - 108\/5 = 0.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.73309cm in kilometers?\nAnswer: 0.0003773309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110111010011100101 (base 2) in base 4?\nAnswer: 11313103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 360\/540 - (-32)\/(-42)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wddwbadmamawad. What is prob of sequence dwm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbb when four letters picked without replacement from ttttbtbbttttbt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -4, 22, -14, 2 in ascending order.\nAnswer: -14, -4, -0.3, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 12 = -4*n, 4*n - 3*w + 2 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f**3 - 3*f + 1 + 0*f + f**3. Suppose v(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 2*h + 14 - 49*h**3 + 48*h**3 as a*h + b*h**2 + j*h**3 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 2340. Suppose j + x = 56. Let z = -267 - j. What is the greatest common factor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6006 - -6000. Which is the biggest value? (a) -8 (b) -2\/5 (c) l (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 4*c + 9. Let f be y(5). Suppose -205 = f*v - 49. Let a = -31 - v. Solve -a*j + 3*j - 17 = -l, 5*j = -20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 8*b + 3*b)*(-2 + 2 - 1)*(-3 + 2 - 1)*(-15 + 15 + 8*b) to a*b**2 + p + s*b and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w**2 + 2*w - 2. Let b(q) = -35*q**2 - 4*q + 5. Determine -2*b(u) - 5*h(u).\nAnswer: -15*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3935 and 675.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-5 + 1 + sqrt(17) + -1 - -1*(sqrt(51)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: -4*sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/5, -1.4, 111, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381322?\nAnswer: 2, 37, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 6889*a**2\/3 + 96299*a\/3 + 336875\/3 = 0. Calculate a.\nAnswer: -6875, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 297089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52113714 from -290481.\nAnswer: -52404195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 50 + (-98 - -98)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -3*o**5\/4 + 1345*o**4\/12 + 910*o**3\/3 + 3*o - 574. Factor j(x).\nAnswer: -5*x*(x - 91)*(3*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**3 + 106*i**2 - 39*i - 46. What is a(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3587297 and 368439.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 not equal to 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.9822 + 41.642201. Let q = -43.34 - -43. Let o = r - q. What is o rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73770921*q**3\/4 - 73805277*q**2\/4 - 8590*q - 1.\nAnswer: -(q + 1)*(8589*q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/6, 62, 0.12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424852344 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -15, -5 in increasing order.\nAnswer: -15, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 3:51 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12. Let h = 1 + l. Sort h, 0, -1.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 24*a**2 - 92*a - 2735. Determine o(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 855?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**5 - 178398*q**2*y - 2*q*y - 7*q - 5*y - 945 wrt q.\nAnswer: 20*q**3 - 356796*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 7*j - 1. Let u be m(4). Let g(l) = -2 - 9 + 17 + u*l - 1. Determine g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/24 + 10*j**3\/3 - j**2. Suppose 14*a + 66 = -4*p + 16*a, -5*a + 37 = -2*p. Let r be m(p). Is r > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-257)\/(57825\/(-100)))\/((28\/(-10))\/((-9)\/5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*h + 6, -u - 4*h = -6*h. Put u, -5, -3 in increasing order.\nAnswer: -5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74204315568 take away 35.5?\nAnswer: 74204315532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2242 and 1216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24107, 24105, 24101, 24095, 24087?\n\"Answer: -a**2 + a + 24107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 - -171. Suppose 10 = -i + 6*i. What is the greatest common divisor of o and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.8. Let f(r) = 6*r**2 + 2*r + 1. Let h be f(-1). Let o = -369\/5 + 74. Which is the nearest to 9? (a) o (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 42*r**2 - 3*r + 1. Let d(g) = -210*g**2 + 16*g - 4. Determine 2*d(t) + 11*i(t).\nAnswer: 42*t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*v + v. Let g = 7 + v. Suppose 0 = 5*z + 4*y - 41 + 11, -2*z + g*y = 6. Let t(n) = -n. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = z - 70, 0 = -955*v + 957*v + 16. Solve 15*o = 32*o - z for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccctcctttctctttcttcc. Give prob of picking 2 c and 1 t.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276194460*s**2 + 2*s - 276194583*s**2 + 28 - 28.\nAnswer: -123*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 715*c**2 - 2*c**3 - 1373*c**2 + 580 + 657*c**2 to the form w*c**4 + b*c + v*c**2 + l + g*c**3 and give l.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6 + -1)*-2. What is the highest common factor of m and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 23760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133.2 and -1.\nAnswer: -134.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**5\/130 - 23*j**4\/26 + 529*j**3\/39 - 41*j**2 - j - 10. Let u(x) be the first derivative of w(x). Factor u(g).\nAnswer: 2*(3*g - 23)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r**3 - r + 3 - 2*r - r**3 + 4*r**2. Let a be t(3). Factor 3\/2 + 3\/2*l**2 + a*l.\nAnswer: 3*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -132. Solve -y*h + 5*t - 20 = 0, -7*h = -3*h + 4*t - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(4\/3)*o)\/(o\/(o\/(o**(2\/3)*o)))*(o**(1\/2))**11)**40 assuming o is positive.\nAnswer: o**(860\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0.4, -103, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 341430 (base 5) to base 16\nAnswer: 2f53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*y + 4 - 5 in the form n*y + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*f + 1091, 13 = h - 2*f - 246. Let k = -262 + h. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*h = 2706 + 40794. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:28 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*y - 3*y. Calculate the remainder when y is divided by (6\/(-5))\/((-58)\/725).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(363)*-2 + 2 - (1 + (sqrt(363) - 1*sqrt(363))))**2.\nAnswer: -17436 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1331*b**3 + 1521*b?\nAnswer: 7986*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let m(p) = -324*p**2 + 9*p. Determine m(q(n)).\nAnswer: -1296*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + -1).\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14919977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222038 is divided by 35933.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 2527126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 6*c + 2. Let u be k(4). Let r = u - -316. What is the units digit of 24\/(-156) + r\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19+268920\nAnswer: 268939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + (276\/15)\/4. Let s = -8 - -25. Suppose -s = -o - k. What is the remainder when 45 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5138.1620251 - 0.3\nAnswer: -5138.4620251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 20*d - 53 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 2*l**3\/3 - 14. Let p(g) = -3*g**2. Calculate v(p(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10644 + 10812. Does 84 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 7. Let s = 109 + -101. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -31. Let w = 857 + 1838. Is (-3)\/(18\/h) + w\/33 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1398, 1397, 1396, 1395, 1394, 1393?\n\"Answer: -h + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*m - 122 = -3*d, 3*d - 5*m - 51 = 0. What is the greatest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -3\/10, -87, 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -362 and -5.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3187 (b) -0.02 (c) 5 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12762 divided by -18\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1228 - 0.3728. What is the nearest to q in -0.5, -4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-342)\/(-27)))\/(11*(-14)\/(-4620))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -216486, 3, 2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89589094?\nAnswer: 2, 7, 23, 278227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40114470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(153)*-2 + -1).\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 - g**4)*(-g + 4*g - g) + 56*g**5 - 412 - g**2 - 472 + 882 + g.\nAnswer: 54*g**5 - g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1141*g**4 + 114*g**3 + 194861*g - 2?\nAnswer: 13692*g**2 + 684*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*s + 3 = -1, 0 = 3*h + 3*s + 36. Let x(a) = -a**2 - 3*a + 12. Let v be x(-7). Let u = h - v. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67001 times 2574?\nAnswer: 172460574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47470 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 + -1625?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*y + 127746 = 135*y - 3056*y - 31532 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -2, 0.5, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/27 and -4 + -1*(-156)\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**3 + 3*n**2 - 3*n + 3. Let j(g) = -33*g**3 + 13*g**2 - 13*g + 13. Calculate 26*c(w) - 6*j(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 178216.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408768?\nAnswer: 2, 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9 + -9 + (1 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4078.9389 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 23 - (-2 + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 - 884685?\nAnswer: -884900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(-4\/9)*v))\/v)\/((v**(2\/7)*v)\/v*v))**(5\/7))**(-8\/13) assuming v is positive.\nAnswer: v**(4640\/5733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49894 + -33163. List the prime factors of w.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 8. Let w be i(-6). Solve -7 = -3*l + w*c, 0 = 2*l + 3*l + 2*c - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -3)*(153\/6 + 6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-530)*10\/(-2))\/((-3)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11049.5 + -11050. What is the closest to 2\/5 in -4, 5, y, -28?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.8 - -59.68. Let m = u - 17. What is m rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 - 4*x + 3. Let v(d) = d - 1. Let f(i) = q(i) + 2*v(i). Suppose -11*p + 11 = -33. Suppose -9*b - p = -13*b. Calculate f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 + -103. Let r = 5.7 - c. Is 5\/4 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343.04 * 0.2\nAnswer: -68.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 14*g + 4. Let i be x(14). Suppose -5*w + 12 = i*p - 47, 0 = 2*w + 4*p - 14. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18900 by 50.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.172, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509867080 a multiple of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -89360 (base 10) to base 12\nAnswer: -43868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19928 divided by -47\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1985 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*i + 280*i - 340 = 761. Let h = 60 + -298\/5. Factor 0*o + 0 - h*o**2 - 2\/5*o**i.\nAnswer: -2*o**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -208802*p. Let z(y) = -7*y. Determine n(z(k)).\nAnswer: 1461614*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36200317 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*l = -8*l + 19, 8*l + 71 = -21*l - 45 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -48*(-1 - (-72)\/(-6)) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -263113*b + 1841805. What is q(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 3037 - 23*u + 4*u + 10*u - 4*u**3 + 11*u.\nAnswer: -2*u**3 + 2*u - 3037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28565912?\nAnswer: 2, 59, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -60. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 809058\nAnswer: 1\/404529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*k*k*k*k*k*k**23\/k)\/(k**(-1\/2)\/((k\/k**(-1\/7)*k)\/k*k)) assuming k is positive.\nAnswer: k**(793\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (14 - -4) - (-81)\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8526745, 8526747, 8526751, 8526757, 8526765, 8526775, 8526787?\nAnswer: 8526801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -118. Let r = -149 - -274. Calculate the remainder when r is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 57*k - n + 5 = 0, -5*k - 9*n + 45 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 44*o + 44. Let p(h) = h**3 + 12*h**2 - 27*h + 13. Let l be p(-14). Let f be w(l). Solve 5*b - 2*m - 6 = 0, f*b + b = -4*m + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 3715*k**4 + 18750*k**3 - 37300*k**2 - 74920*k + 89760 = 0. What is k?\nAnswer: -6, -2, 1, 2, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 + 76. Let i = 119 + c. Suppose i*l + r = 119, 29 = l + r - 0. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from tttmmtttttm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900340 divided by -2?\nAnswer: -1450170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1546, -5388, -11792, -20758?\nAnswer: -32286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/82)\/((-13788)\/141327).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 903, 1075, 1363, 1767, 2287, 2923?\nAnswer: 3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -1704210?\nAnswer: 1704142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118972\/9 equal to 13218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 15*p - 22*p. Let n be ((-40)\/(-50))\/(p\/(-270)). Calculate the greatest common factor of n and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-8)\/5)\/((-2)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 1. Let a be -1 + 1 + 12\/(-98). Let d = a + -123\/196. Is s at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699600 divided by -174900?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1312 + 2337524*o + 1343*o**3 - 2337524*o wrt o?\nAnswer: 4029*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92111088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -60, 6?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 5*s - 7. Let z be l(-6). Let t be (-63)\/(-3) - (z + 5). Let w = 101 + -106. Put 1, t, w, 3 in descending order.\nAnswer: t, 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(2*s - 2*s - 3*s)*(0*s**3 - 4*s**3 + s**3).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -23*n**3\/6 + 471*n**2\/2 + 158*n. What is the tens digit of g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1. Let n(u) = -3 + u**2 + 0*u**2 + 2*u**2. What is 3*k(r) - n(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 396*f + 372*f + 2 + 25*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960*h**2 + 1967*h**2 - 1011*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.138854 + -1481658\nAnswer: -1481658.138854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 36 = -4*v. Solve 5 = 5*k - 2*i, -v*k = 2*i + 6 - 25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 - r**2\/2 + 18*r. Calculate the smallest common multiple of 41 and d(-8).\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 160.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 17300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 4, z: 1, f: 4, t: 4}. Give prob of sequence ta.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -1) + 23 + (-5 + 8 - 25).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/300 - h**2 + 9*h. Let f(j) be the first derivative of n(j). Determine a so that f(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 2 (c) -0.5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1917\/5, -12\/29, 2, -7 in descending order.\nAnswer: 1917\/5, 2, -12\/29, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 less than or equal to 9227\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -19. Solve 0 = a*f - 3*l + 5, f + 3*l + 3 = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/1512 + n**7\/135 + n**6\/108 - 7*n**5\/54 - n**4\/27 + 28*n**3\/27 + 1142*n**2 - 2*n. Determine a, given that w(a) = 0.\nAnswer: -2, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = -0. Let j = -2 - h. Let b be j*3*(-1)\/(-3). Put b, -1, 3 in ascending order.\nAnswer: -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147699 is divided by 36900?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 382*b - 387*b = 63, -4*a = -3*b - 49. Let j(m) = -m**2 - 5*m + 4. Determine j(a).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1523 (base 11) to base 2\nAnswer: -11110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 213 = -5*d, 123*d + 17*o - 534 = 110*d for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 48*l**2 + 19*l**2 + l**2 + 28*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/10)\/((q\/(q*q*q\/((q*q**(1\/9))\/q)))\/q))\/(q**11*q\/q**(22\/3)) assuming q is positive.\nAnswer: q**(-133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*d**2 - 337*d**2 - 335*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -254, -495, -728, -953, -1170, -1379?\n\"Answer: 4*y**2 - 253*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 15, 4, -7, -18?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b + 3*j, 4*b + 3*j - 18 = -0*j. Let k be -8 + 8 - (b + 0). Sort k, 5, -16.\nAnswer: -16, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183311, -366595, -549873, -733145, -916411, -1099671?\nAnswer: -1282925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q)**(-3\/4)\/((q\/(q**(-7\/2)\/q))\/q**(-1\/16)))**(1\/3) assuming q is positive.\nAnswer: q**(-77\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 98.\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -2801\/41?\nAnswer: -2801\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Let f be (a\/(1 + 0))\/2. Let d(v) = -2*v + 1. Let g be d(f). Solve -z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 + 210. Let k be (b - 0)\/((-52)\/8 + 7). Solve 3*z = -3*i - 1 + 4, -2*z + k = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 55. What is the remainder when v is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/431416 and -11\/68.\nAnswer: 7334072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 2664*f**4 - 15903*f**3 + 23814*f**2.\nAnswer: -3*f**2*(f - 882)*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(0*p**3 + 6*p**3 - 7*p**3 + 6).\nAnswer: 3*p**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67039 = 507*x - 51322 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/6)\/(o*o*o*o**(-1\/4)*o))**(-3\/44))**(6\/31) assuming o is positive.\nAnswer: o**(129\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*x + 25 = 0, 2 = 5*l - 4*x - 5. Suppose -l*r + 0*r = 2*r. Solve r*w = -3*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.6 + 18.5931. Let h = p - -0.009. Round h to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -16*m - 60. Suppose -d - m = -17. What are the prime factors of (-2)\/d + (-3 - 2244\/(-9))?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:13 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.932 - -0.168. What is the smallest value in -4, -1, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2013)\/(3*((-33)\/9 + 4)). Let n = j + 3148. What are the prime factors of n?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 133, 734 in ascending order.\nAnswer: -265, 133, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69\/(-21) - (-2)\/7. What is the remainder when 12 is divided by i\/(-4) - (-75)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 9 + 9)*(0 + 0 + 2*w) + (4*w**2 + 0*w + 0*w)*(0*w**3 + 2*w**3 - 4*w**3).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -0.4 (c) 4\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008139 to 7 dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16990, -16756, -16232, -15274, -13738?\nAnswer: -11480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 17*n - 5. Suppose 0 = -93*x + 24*x - 345. Let q(w) = -2*w**2 + 9*w + 3. What is x*q(h) - 3*f(h)?\nAnswer: -2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 1\/560*s**8 - 1\/200*s**6 + 1\/350*s**7 + 0*s**3 + 4*s**2 + 0 - 1\/100*s**5 + 0*s**4 + 0*s. Solve u(q) = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*k - 59313299 = -1788726. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7206945377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12715180 to the power of 1\/2, to the nearest integer?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b2d (base 14) to base 11.\nAnswer: 10a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.723736 + -0.08882.\nAnswer: -12.812556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f + 62*f + 176 = -70*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 8\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 107 in ascending order.\nAnswer: -5, 1, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*u - 2*u - 1, 0 = 4*u + 3*z - 4. Let t = -4 - -8. Let h(c) = 2*c - 2. Let i be h(0). Sort u, i, t in decreasing order.\nAnswer: t, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.095\nAnswer: -0.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4804, 4807, 4810?\n\"Answer: 3*h + 4801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 120, 385, 902, 1755, 3028, 4805, 7170?\n\"Answer: 14*f**3 - f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168.5 + 169.72. Let k = 15.6 + -14.18. Let a = r - k. What is the third smallest value in 3, a, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**21\/s*s**(9\/7) assuming s is positive.\nAnswer: s**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 - 13*a + 2*a**2 - 28*a + 217 as d + z*a + f*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32439)\/(-8847))\/((-22)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114422 (base 5) in base 15?\nAnswer: 145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248 < 6246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and 2.3?\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29982.51 days to minutes.\nAnswer: 43174814.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274171614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21 - (-4)\/(-160)*830. Factor 0 - 15\/4*r**2 + c*r**3 - 4*r.\nAnswer: r*(r - 16)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:17 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u. Let y be (2 - u)*(-1 - -2). Let z = 1 - y. Put 1, -4, z in increasing order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5453 divided by 90\nAnswer: 5453\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3408, -2999, -2588, -2175?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = -20*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15876656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.4 - -18. Let r = j + -0.1. Let p = -0.1 - -0.5. Sort r, p, 1 in decreasing order.\nAnswer: 1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 78616.\nAnswer: 1\/39308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23454 + 0.20954. What is the biggest value in 4, -3, 2\/13, 3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 7}. What is prob of picking 2 d and 1 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. What are the prime factors of t(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11035*i*t**2 - 3*i*t - 49*i - 13*t wrt t?\nAnswer: -22070*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1706, -1726, -1746, -1766?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppnypyy. Give prob of sequence ppy.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 + y**3\/6 + 9*y**2\/2 - y. Let c be (20\/4 - 4)*0. What is the units digit of a(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374712 is divided by 687323?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauututtkyuyrukuuy. What is prob of sequence tyuu?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0.1 (b) -0.3 (c) -53 (d) 4\/7 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.17 + 5.33. Let n = d + -0.16. Let f = -0.2 + 0.6. Sort n, f, -5 in decreasing order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-282)\/36 - (4 + 117\/(-27))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7021 and -0.06.\nAnswer: 421.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 2, h: 1}. Give prob of sequence eh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2 - 3\/(-2). Suppose -4*q - p*z = -4, -3 = -3*q - 5*z - 0. Which is the nearest to q? (a) 5 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 57. Solve s + w = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u + 2*u + 77 - 3*u + 5*u - 75. Let z(k) be the third derivative of k**4\/2 + k**3 - k**2. What is -7*s(f) + 2*z(f)?\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 427? (a) -1\/17 (b) 3\/8 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 637 + 1904 = 1050 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u = 38*u + 88. Is 21 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and 115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*x + 5*x - 40, 612*t - 609*t - 4 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + v + 25. What is the tens digit of n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 greater than or equal to 2381\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148724 is divided by 13509?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 926434, 926426, 926428, 926446, 926486, 926554?\nAnswer: 926656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 46*h - 4. Let u(i) = 2*i**2 - 44*i - 5. Give -5*m(q) + 6*u(q).\nAnswer: 2*q**2 - 34*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*t**6 - 8*t**3 - t**2 + 47.\nAnswer: 1440*t**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2410 = -2*y - 4*m, -5*y = -0*y - 2*m - 6061. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1663178 micrograms?\nAnswer: 0.0000001663178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134253 + 134272.999936. Let u = 134 + -154. Let i = u + b. What is i rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6459.72906 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203555 (base 6) in base 2?\nAnswer: 100000000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554 divided by 518.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -1. Let x = -3 - 0. Let v be x\/(15\/2)*5. Sort 1, v, l.\nAnswer: l, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.015 - -0.085. Let q = 13 - k. Suppose -12 = -5*z - 2. Which is the smallest value? (a) q (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffjjf. What is prob of sequence jjjf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = -0*s. Calculate the remainder when 30 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*t - 572*t - 123 - 81 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14150532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 0*x - x + (-x + 0*x - 2*x)*(1 + 0 - 3) + 266*x - 247*x - 236*x to the form k*x + a and give k.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, 1, -5, 4 in ascending order.\nAnswer: -5, -1, 1, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-24))\/(15\/9*(-27)\/15)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 21*w + 63*w - 76024. Calculate the greatest common divisor of w and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -5) + 4*(-24)\/(-16). Let b = -18 - -13. What is the smallest value in i, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144240 (base 8) to base 6.\nAnswer: 1033440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3011, 12019, 27041, 48083, 75151, 108251, 147389?\n\"Answer: t**3 + 3001*t**2 - 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (62\/2)\/1 + 2. Suppose -4*k = -5*b + a - 129, 2*k = 5*b + 58. Suppose 0 = -4*n - 4, -d - 5*n + 2 = -0. What is the remainder when k is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -3.97718.\nAnswer: -3.77718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49040 divided by 9808.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 95909.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b = -328*b - 195*b - 400*b - 51688 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -24 + 144. Let s = 24 - y. What is the greatest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 = -8. What are the prime factors of 171 + -1*(f + 1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 1995 = 9*r - 3*r + 2035 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ben when three letters picked without replacement from {n: 1, f: 2, b: 2, e: 8, w: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/7 - -1636\/371. Let q = 7 + -5. Suppose q*h - h = 1. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(1\/(-8)). Let b = j + -2. Let h(f) = -4*f**3 + 3*f - 2. Let n be h(1). Sort n, b, -4 in decreasing order.\nAnswer: b, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 3:30 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1512\/4 + (11 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961 - 568. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 12*f - 4 - 23 - 25 in the form q + o*f and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*g + 91, 721 = -24*g + 13975*t - 13980*t for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 173 + 81. Suppose a + 84 = -0*a. Let r = a + t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3 - 2*b**2 + 0 + 7*b - 1\/10*b**5 + 0*b**4. Factor f(d).\nAnswer: -2*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 668.7, 3, 2\/9, 1882 in increasing order.\nAnswer: 2\/9, 3, 668.7, 1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 12*p**2 - p - 11. Let a be u(-6). Let x be ((1*a)\/1)\/(-95 + 90). Let z(t) = t**2 - 1. Let d(r) = 3*r**2 - 3*r. Calculate x*d(o) - 2*z(o).\nAnswer: o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1738 and 1106.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(6\/42).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -66. Find the second derivative of u**5 - 80*u**4 + 2*u**m + 26*u + 76*u**4 wrt u.\nAnswer: 60*u**3 - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -144.289, 1\/4, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Differentiate -1 + 2*g**h + 4*g**4 - 2*g**4 - 2*g**4 with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 6. Let y be a(-4). Find the second derivative of y*g - 2*g**5 - 2*g**5 + g - 6*g wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 4*z + 6*z + (1 - 1 + 3*z)*(58 - 51 - 44).\nAnswer: -113*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/31633064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12120002221 (base 3) to base 16\nAnswer: 1ab75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:18 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0 - 12. Put 1, n, 0, 2 in descending order.\nAnswer: n, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*(-2)\/((-40)\/45)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/308 - ((-4)\/(-22))\/1)*(-424 + 428)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 3, b: 10, y: 2, e: 2}. Give prob of picking 2 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 2*k + k + 35 + 2*k + 0*k + 0*k + (-1 - 1 + 0)*(-3*k + 2*k + 0*k) + 3*k - 2*k + 0*k + 3*k - 3*k + k.\nAnswer: 5*k + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 308 = 28*b, b - 5*d - 1633 + 1622 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwiwwiiwoiiieiwiii. What is prob of sequence wiwi?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -43*l**9\/84 - l**8\/168 + 23*l**5\/20 + l**3\/3 + 13*l**2. What is the third derivative of p(x) wrt x?\nAnswer: -30960*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 30. Suppose d = 8*o - 3*o. Solve 3*p + o = -12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 169 = 2*c. Let i(w) = w + 3. What is i(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2222325 and -14\/176375.\nAnswer: 11111625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 11. Let n(m) = -23090*m**2 - m. Calculate g(n(d)).\nAnswer: 23090*d**2 + d + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3*n**6\/2 + n**4\/2 - 8*n**3 - n**2\/2 + 12. Find the third derivative of b(p) wrt p.\nAnswer: -540*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5938\/201 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*h + 99 = 0, 691 - 276 = 5*w - h. Calculate the remainder when 742 is divided by w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6742*m - 2. Let b(c) = c + 2. Determine b(y(a)).\nAnswer: -6742*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*128.2213\nAnswer: -64.11065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48384 and 3874500?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1849 = -2*x - j + 1838, -20 = 5*x - 5*j. Let p = 4 - 4. Sort -3, p, x, -2.\nAnswer: x, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -1, -0.3, 2\/37, -2, 499, 0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9487923514 to the nearest 1000000.\nAnswer: -9488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from jdhyyyh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -17*t**7\/210 - t**4\/12 - 79*t**3\/3 + 186*t**2. Differentiate p(s) with respect to s.\nAnswer: -68*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 55 = -4*d. What is the lowest common multiple of d and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(9\/(-6)) + (17 - 15). Solve -3*m + 3*d - 2*d + 4 = t, -3*m = 4*d - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**3 + 31*s**2 - 4*s. Let x(b) = 3*b**3 + 10*b**2 - b. Let k(o) = 2*f(o) - 7*x(o). Determine k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c - c. Find the common denominator of (6\/(-9))\/(6\/c) and (-6)\/(-8)*(-1)\/(45\/(-246)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3580*s + 3587*s - 10752*s + 3582*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 729.5? (a) -2\/11 (b) -0.3 (c) 525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 2*n)*(-2*n**3 + n**3 + 2*n**3) + 6976*n - 6976*n + 2*n**4 + 11.\nAnswer: n**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3437 + -993. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = 6. Suppose 0 = -2*m - q*m - 52. Let a = m - -21. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 6 + 18 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221201112 (base 3) in base 5?\nAnswer: -3324433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 21 - (6 - (1 - -6 - 7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l - 3*h + 1 = 0, 0 = l - 5*h - 20. Let r(i) = i + 26*i**2 + 4*i - 24*i**2 + i - l*i. Let x(f) = -2*f**2 - f. Give 3*r(o) + 4*x(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192105.\nAnswer: 5, 263, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -825*l**2 - 1713*l - 126.\nAnswer: -3*(l + 2)*(275*l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.28, 549, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.15, 14\/3, 0.5?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3780 and 143525760?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 8) in base 10?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/18 - (-1 - 2)\/(-18). Let j = 2.93 - -0.07. Which is the third smallest value? (a) y (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 122 = 4*v + x, 0 = 3*x - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1603*q**3 + 5*q**2 + 6*q**2 - 11*q**2.\nAnswer: 1603*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:51 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -9\/16, -3\/5, -5, 47\/7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 810989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28883 + -1704. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444d (base 14) to base 6\nAnswer: 130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + -332. What is the units digit of (111\/1)\/((-25)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 34 + 4 - (0 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07449083078 to five dps.\nAnswer: -0.07449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 16, 5, -4, -3.\nAnswer: -9, -4, -3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -81182443 at most as big as -81182443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12096 and 3917664?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920063829.\nAnswer: 3, 6277, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18262656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:53 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/(12*10\/360)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89.49999139 + -89.5. Round w to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13697 - 904. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 0.3 (c) 5\/3 (d) 22 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3 + 2*q**2 - 4*q - 1. Let z(y) = -y - 1. Let h(c) = 4*c**2 + 3*c - 7. Let w(b) = -h(b) + 2*z(b). Give 5*k(l) + 4*w(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*f = -12, 24*g = 22*g - 5*f + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from {r: 2, s: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*v - 494. Let c = 124 - v. Calculate the remainder when c is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10843 is divided by 1807.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/5 + 144*r\/5 + 143\/5 = 0?\nAnswer: -143, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 339661 < 339672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/43 - -227\/258. Which is the third smallest value? (a) s (b) 0 (c) -2\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 116, 79, -52, -301, -692, -1249, -1996?\nAnswer: -2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -596\nAnswer: 1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8732*d - 17140*d - 11616 = -8584*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18026 (b) 19 (c) -7 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19987 by -618.\nAnswer: 19987\/618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 0 - (10 - (18 + -18)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -188*t + 187*t + 4*o, -4*t + 126 = -o. Solve 38*w = t*w + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 5614\nAnswer: -5613.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -992 + 993 + -1 + 2 + -8 + 3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6954 is divided by 213.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47443?\nAnswer: 11, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k*(k**1\/k)\/k*k*k)**(-9)\/(k\/k**1*k**(2\/9)) assuming k is positive.\nAnswer: k**(-407\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/15)\/((-9)\/30))\/((158\/36)\/(-79))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043858140 to the power of 1\/2, to the nearest integer?\nAnswer: 45209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - d + 0)*(-103 + 56 - 85 + 2*d**2) in the form v*d**2 + l + z*d + h*d**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1537 + -63012\/41. Let q = 129\/287 + a. Factor q*c + 10\/7*c**2 + 8\/7*c**3 + 2\/7*c**4 + 0.\nAnswer: 2*c*(c + 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 + 560*l**2 - 323392*l + 23863552 = 0 for l.\nAnswer: -388, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-12)\/(-3996)*-663)\/(1\/(-6))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238002 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494000 rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.3726ms to nanoseconds.\nAnswer: 824372600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2 - 437517861*a\/2 - 36459822.\nAnswer: 3*(a - 24306548)*(6*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-2)\/4)*-2. Let g = -9 - -29\/3. Let b = -42382 - -1568136\/37. What is the biggest value in u, b, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -4112?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326060 is divided by 5263.\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 5489 - 33875 = 0. What are the prime factors of k?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 1, 21198 in increasing order.\nAnswer: 1, 65, 21198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 3 + (18 - -23 - 97 - 2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 - 7*h + 6. Suppose 8*b - b - 35 = 0. Give g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 8 = 0, 30*u + 5*s = -28*u - 38*u - 50 + 510 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -32. Suppose 3*x - 6 = 5*q - 2*q, -5*x + 4*q = -11. Solve 5*i = x*i + n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 83300*z**2\/3 + 3248696*z\/3 - 52.\nAnswer: 4*(z + 39)*(20825*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 145\/7 (b) 101 (c) 4 (d) 3 (e) -36 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69022383 divided by -3632757.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -2. Suppose 4*t - f = -2*n - 3*n, 0 = -2*n + 4*t - 2. Solve 2*j - 4 = 2*p, 9 = n*j - 3*p - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1613 + 1476. What is the second biggest value in 2, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -27*p**3 - 13*p**2 - 13*p. Let z(w) be the second derivative of 13*w + 1\/2*w**4 + 0*w**2 + 0 + w**3 + 13\/20*w**5. Calculate 6*c(r) + 13*z(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-176)\/3 + 14\/(-42). Let g = 95 + y. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3. Let p be r(1). Let n(o) = o**2 + 6*o + 8. Let m be n(-6). Suppose f + m = -f. Put f, p, -1 in ascending order.\nAnswer: f, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/476)\/(7\/2737).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:24 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330030 + 121?\nAnswer: -323303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 26. Solve d = -4*o + 8 + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad6d1 (base 14) to base 9.\nAnswer: -711680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1105*35.9\nAnswer: -39669.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {v: 1, w: 2, e: 2, z: 1, l: 1, r: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 968*j = 967*j - 16, 2*p + 2*j = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ijjij?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -223, -237, -267, -319, -399?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -1.3 (c) -2\/13 (d) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -780952*f**2*u**2 - f**2*u + 28*u**3 - 104806946 wrt u.\nAnswer: -1561904*f**2 + 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a - 2. Let k(w) = -4*w + 1. Let l = 24 - 23. Let o(h) = -2. Let y(x) = l*k(x) - o(x). Determine 3*t(f) + 2*y(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 10*m**2 + 9*m. Let j(s) = -s**2 + 3*s - 5. Let q be j(4). Let n be i(q). Solve -4*f - 5*w = -w - 4, n = -3*f - 2*w - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 214 - 127. Suppose -2*t = -4*z + 46 + 76, 0 = 3*z - 3*t - c. Calculate the least common multiple of z and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21376252 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/36 - 0)*0. Let n(k) = -k**2 - k - 37. Give n(m).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10577 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0 + 2*j**2 + 1)*(-5*j**3 + 2*j**3 + 4*j**3).\nAnswer: 2*j**5 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 188561 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12116 + -12047. Which is the fourth smallest value? (a) l (b) -0.1 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:19 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 308320*d\/3 + 17574962\/9.\nAnswer: -2*(d - 19)*(d + 462499)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211212202 (base 3) to base 10.\nAnswer: 16679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133\/3 + 45. Suppose 38 + 19 = 3*u. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 34 + (4758 - 4666)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((-44)\/3)\/(-4). Let c = 90 - 89.5. Sort i, c, 3 in increasing order.\nAnswer: i, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -18*x + 33*x - 18*x - 4. Let l(o) = 2*o + 4. Let s be (6\/15)\/(4\/(-40)). Give s*l(p) - 3*v(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5600) + 1*sqrt(5600))*1)\/(-3*(sqrt(16)\/sqrt(2) - sqrt(8)) - (sqrt(8)*-1*5 + sqrt(8)))*1.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(((-27)\/(-6))\/(-3)). Let u = 8 - 6. Let f(b) = -b**u - 3 + 0*b**2 - 7*b - 3. Determine f(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10366*g + 5186*g - 3181*g**3 + 5180*g.\nAnswer: -3181*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1791, -3562, -5333, -7104, -8875?\n\"Answer: -1771*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 40. Let z be b(0). Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**3 - 29*p**2 + 3*p - 3. Give s(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6102*o + 30462. What is t(5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihniihbihbihbbib. Give prob of sequence nh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 229*a. Let p(h) = -384*h. Give p(b(l)).\nAnswer: -87936*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514122843*m**3\/2 - 171295735*m**2 + 52358*m - 4 = 0.\nAnswer: -2\/3, 2\/13091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/4)*x)**(-19\/2)\/(x\/(x*x**(-1)\/x))**(-47) assuming x is positive.\nAnswer: x**(543\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*r + 623 = 3820, 0 = -4*y - 4*r - 2564. Let b = y + 4000. Suppose 4*i - 1052 = b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16190273 to the power of 1\/2, to the nearest integer?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 400.3 + -400. Suppose 7 = 2*d + 1. Which is the nearest to 0? (a) g (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + -2.5. Let n = -357.062 - -356. Let w = x + n. What is w rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223703280 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8728)\/(-855) + 4\/(-1). Let h = 4\/285 + n. Calculate the common denominator of 35\/3 - (1 - -1) and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2948*c**3\/9 + 1346*c**2\/9 + 64*c\/9.\nAnswer: -2*c*(2*c - 1)*(737*c + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111.718 years in months?\nAnswer: 13340.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:42 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let o = -1 + q. Which is the third biggest value? (a) 6\/7 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201200 (base 4) to base 8.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**4 - 4*i**4 - 16273 + 21*i + 14*i**3 + 16273 + i**2 as n + s*i + k*i**4 + c*i**2 + y*i**3 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - l**2 - 2*l**2 - l**2)*(532 + 2 + 246).\nAnswer: -7020*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 137*h + 135. Let g be w(-1). Solve 4*n = -3*v + 11, 5*v - 16 = g*v + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 4*h = -17*o, 3*h - 5 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 8*o**2 + 21*o + 12. Suppose 3*w + 2*y + 32 = 0, -6*w - 4*y - 14 = -5*w. Let k be z(w). Factor 6\/5*f**3 + 0 - 8\/5*f + 16\/5*f**k - 18\/5*f**4.\nAnswer: -2*f*(f + 1)*(3*f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ddnnndd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313 and 700181.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let s(f) be the third derivative of -f**5\/60 + 7*f**4\/12 - 13*f**3\/6 + 3*f**2. Let y(w) = 5*k(w) + s(w). Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 - 312*o + 313. Let b be d(1). Solve -b*j = -60 + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7692871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65576 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 12*z**2 - 19*z + 31. Calculate h(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from qpouscsp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -422*i**2 + 6310*i + 304. Determine t(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 - 175 - 15*q)*(-2 + 2 + 1)*(0 - 1 - 1).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) 5 (c) -0.4 (d) -11.427 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805 at most as big as 3805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*f**2 - 1 - 2*f**2 - 3*f**2 + 73*f**3 - 1 + 2*f to the form x + v*f**2 + w*f**3 + z*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 143761, 0, 2, -10 in ascending order.\nAnswer: -10, 0, 2, 143761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -30, -72, -150, -276, -462, -720, -1062?\n\"Answer: -2*x**3 - 4*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1984*r**5 + 46*r**4 - r**2 - 624558*r wrt r.\nAnswer: -119040*r**2 + 1104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/10 and -109\/14370.\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 2*y - y + (-1 - 2 + 2)*(-y - 3*y + 2*y) + y + y + 0*y + 0*y + 5*y - 3*y in the form j*y + d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v + 1)*(-4 + 15 - 1) - 4 + 4 + 2*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 = 128*b - 44*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588667 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 - 328 = -5*h. Suppose -h = 19*q - 22*q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**8\/168 + 19*q**4\/3 - 17*q**2 - 2. What is the second derivative of z(j) wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12299900 = -4*a + 9*a. Suppose 0 = 5*v - g + 12299996, -g + 6*g = v + a. Round v to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 3. Let o be l(0). Let d be (-5 - o)*38\/8. Let k = d + 53. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7008*q**2 - 7006*q**2 + 14013*q**2. Let h(b) = -1478*b**2. Calculate h(v(m)).\nAnswer: -1478*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 1233?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0, -1736132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 92949?\nAnswer: 92950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2846 = 4*z + 370. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 18. Let c be d(-20). Round c to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 - 5.617. Let j = x + 45.017. Let y = 45.054 - j. What is y rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94671931 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/6 (b) -6 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + l + 279 = -9*i, 4*i = -5*l + 537. What is the remainder when i is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-17)\/6 - 48\/(-32))\/((-24)\/561564)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17487110 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvmmm. Give prob of picking 1 r and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.277 - 0.167. Let t = r - 2.11. Which is the closest to t? (a) -0.3 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 117, -3, 6 in decreasing order.\nAnswer: 117, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 23. What is the second derivative of 3*m**5 - 12*m**4 + z*m**4 + 6*m + m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17366 = 4*j + 2*y, 2*j - 8671 = 4*y - 9*y. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, z: 2}. Give prob of sequence xz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -178?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -764*h - 43. What are the prime factors of k(-2)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = s - 7 - 7, 8 = 2*f + 4*s. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3566*b**4 - 3347*b**4 - 1680*b - 1943*b**4 wrt b.\nAnswer: -20688*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from {b: 4, z: 6, l: 9}?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 361603.2 hours?\nAnswer: 2152.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*a + 6901 = 696*a - 8516 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 150 = -g + 6*m, 2*g - 284 = 2*m. Calculate the smallest common multiple of g and 11.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155007739 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 225. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0 - 5\/12*v**4 + 0*v**2 - 11*v + 0*v**3. Let i(w) = -w. Calculate i(l(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 4*x. Suppose -384 = a - 377. Let i(p) = 3*p**2 - 12*p. Calculate a*q(u) - 2*i(u).\nAnswer: u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 2, 225 in decreasing order.\nAnswer: 225, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 591767270\/20553 - 892802\/31. Let i = x - -102\/13. Suppose 26*q + 135 = 109. Is q less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 13*h**2. Let i(b) = b**3 + 12*b**2 + b. Let f(o) = -6*i(o) - 5*t(o). Determine f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39494, -157978, -355452, -631916, -987370?\nAnswer: -1421814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 44*p**3 + 2*p**2 + p - 2. List the prime factors of h(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 41.\nAnswer: 61\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 138 = -4*i, 130*i - 64*u - 416 = 133*i for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 1\/4*a**4 - 7\/3*a**3 + 4 + 18*a - 1\/2*a**2. Does 11 divide z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 - -2641\/13. Sort 4, s, 5, 2\/15 in decreasing order.\nAnswer: 5, 4, s, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 8, w: 4, t: 2}. Give prob of sequence xww.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11462\/5141 - 176\/97. Let v = -38\/71 - 3459\/568. Find the common denominator of j and v.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-four fifths of a minute?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 51. Let h(t) = 4*t**3 + 8*t**2 - 8*t + 8. Let p(z) = -3*z**3 - 5*z**2 + 5*z - 5. What is b*h(n) + 8*p(n)?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*j = -4*c + 33997, j - 56631 = -5*c. Suppose -5*z = -3*q - c, 3*z - q - 6796 = q. Let v = z - 1587. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 6:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4523 by 2420.\nAnswer: 4523\/2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(147)*2)**2 - (sqrt(84)\/(sqrt(7)*2 - sqrt(7)))\/(sqrt(40)\/(sqrt(40)\/sqrt(4))).\nAnswer: -sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 7:45 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30510 by 1017.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -2*n, -5*j + 4 = -5*n - 56. Let p be (-20)\/(-3) - 5\/(-15). Calculate the greatest common divisor of j and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 - 151 + 751 = 44*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.022 - 0.033. Let z = -0.355 - h. Put -0.4, 2\/3, z, 5 in descending order.\nAnswer: 5, 2\/3, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmvkmzezzemm. What is prob of sequence zmm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v + 28. Suppose 5*z = -0*z - 35. Is v bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/20)\/(18\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269569 by -2669.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-3 - (-2)\/(-4)*-12). Solve 2\/5*s**2 + 0 + q*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 0*j + 2*m = 2, -2*m = 3*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.56, -4, -141451?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10, 0 = 4*h + 5*m + 2. Let b be (h\/(-6))\/(2\/(-4)). Let o be 4\/(-12)*(b - -1). Solve 2*v + 0*v - 10 = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o**2 + 0)*(8 - 16 - 16).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12527552 divided by 22.\nAnswer: -6263776\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088414?\nAnswer: 2, 3, 157, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 533 by 57.\nAnswer: 533\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5829521 is divided by 85728?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2851*k - 20 + 5 - 15 + 30.\nAnswer: 2851*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 5*r + 1884 = -21*h, -h + 4*r = -1902. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -5 + -62 + 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -1816 - 22584. Suppose -2*j + j + o = 0. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, k: 2, u: 1, j: 1, b: 2}. Give prob of picking 1 j and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18326.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 27*l + 433. What is z(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127\/255 - 5\/51. Suppose 3*q - 6*q = 12. Let g = -48.6 - -48.5. What is the closest to t in g, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -1, -50, -117, -208?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h + 395*h - 211*h + 1824 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*k = -7 - 13, 10 = 2*k. Let m(d) = -5*d**3 + 9*d**2 + d - 16. Let i(a) = a**3 - 2*a**2 + 4. What is g*i(z) - 2*m(z)?\nAnswer: z**3 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 971 + -961. Solve u*g - 9 + 9 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6183*h**3 + 529868*h**2 - 529868*h**2.\nAnswer: 6183*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 + 1110257*l + 1232670606049 = 0. What is l?\nAnswer: -2220514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10a + 812b?\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -1, 5\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -61. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228817.\nAnswer: 19, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1641487?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1302.9 + 1307.9. Let p = -12.72 - -13. Sort p, -4, k.\nAnswer: -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(18\/8*644\/69).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, c: 9}. What is prob of picking 4 c?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 12*c**2)*(-2*c + 12*c + 19*c + c).\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 584, 3901, 12882, 30359, 59164, 102129, 162086?\n\"Answer: 472*x**3 + 13*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -1.9, -3, 186, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4 + 152*q**3 + 122*q**2 - 2.\nAnswer: 24*q + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -5862?\nAnswer: -11724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111111 (base 2) in base 7?\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2740 is divided by 66.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 32. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3134 - 30?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6944 and 12524?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/2 in 2\/15, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 = -w - 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40841428 and 11916?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8501.035286 + -8501. Round j to 4 dps.\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 6:21 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*q + 1218, 3*g - 2*g - 3049 = -5*q. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -64*n - 1\/20*n**5 + 0 - n**2 + 5\/32*n**4 + 1\/240*n**6 + 1\/6*n**3. Factor i(r).\nAnswer: (r - 4)**2*(r - 1)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1000 + -1197. Is -197 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104721, 210924, 317129, 423336, 529545, 635756?\n\"Answer: d**2 + 106200*d - 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 = -2*a, 2*a = -2*a - 3*m + 26. Let s be (18\/(-10))\/(-6 - -3)*a. Solve -s*u - 2*p - 2 - 7 = 0, -2*u = -p - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.017 and -20032577?\nAnswer: 20032577.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41818 and 3502?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*40\/10. Let z(y) = 3*y**2 - 26*y + 7*y**2 + 19*y - 3*y**v + 13*y + 8 - y**3. Calculate z(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -11. Let c = x + -8. Suppose 3*v + 2 = 5*s, 3*v = -c*s + 2*s + 22. Solve -4*o + 2*o = v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 2*d + 306. Suppose -464*q + 113*q - 53313 = 34437. Are q and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93 and 8?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccx when four letters picked without replacement from {y: 4, m: 2, x: 2, c: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose 12 - 2 = 18*y - 8. Is (-7 - -682) + (y - 1*t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**0)**(-20\/7))**24)**(6\/31))**(-39) assuming o is positive.\nAnswer: o**(112320\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 658 and 1973\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -258 and -0.003?\nAnswer: 0.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 4 = 88 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705319818 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201450 and 20.\nAnswer: 402900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13195 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 11*z**2 - 1. Let t be m(-11). Let f be t*((-2)\/(-22) + 0). Which is the smallest value? (a) 0.5 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j. Let x be o(-7). Suppose x - 6 = 5*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 5) to base 11.\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 97. Let k = -15 - o. Let c be (-5*5)\/(3\/(-12)). Calculate the greatest common divisor of k and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 2*n + 1. Let o be y(2). Let h = o - -5. Let r = h + 8. Solve -w = -3*w + r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 3125252?\nAnswer: -3125245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n. Let i(h) = h. Let t(a) = 10*a. Let y = -41 - -40. Let j(o) = y*t(o) + 12*i(o). Calculate c(j(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 8:40 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/7)*r**(-1\/4))\/(((r*r**(-7\/3))\/r)\/r*r**4))**(-9) assuming r is positive.\nAnswer: r**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 + 2*g + 2. Let w(o) = -3*o**3 - 3*o - 3. Let z(s) = -s**2 + 6*s - 7. Let t be z(3). Suppose -3*k = -2*k - t. What is k*w(l) + 3*h(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**2 - j**2 - 10*j**2 - j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.68 + 33.68. Let u = -55596982.000013 + 55596949. Let k = r + u. What is k rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45739 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.522898s?\nAnswer: 5522898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.967 - 567.967. Let a = c + 566.999514. Round a to five decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -8 (c) 125 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 124 - 163)*(-o - 6*o - 11*o).\nAnswer: 6120*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.59 - 73.59. What is the fifth biggest value in -2, 2\/5, 0, m, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o**3 - 15*o**2 - 39*o + 15 = 0. Calculate o.\nAnswer: -1, 5\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1670780, -3341528, -5012276, -6683024?\nAnswer: -8353772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/2*((-2)\/36)\/(4\/16)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 44\/(-6) + -6*(-106)\/1908.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from {z: 7, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7711 - 39207 = -9*w + 14044. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20508, 41029, 61562, 82107, 102664?\n\"Answer: 6*o**2 + 20503*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 + -127. Sort q, 4, 1 in increasing order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -26*n**2 - 4*n - 8. Let s(z) = -73*z**2 - 11*z - 22. Let u(a) = 4*s(a) - 11*x(a). Let v(c) = -32*c**2 + 4*c**2 + 6*c**2. What is v(u(f))?\nAnswer: -792*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-34\/7)*x)\/x**(2\/39)*(x*x**(1\/6))\/x**(-34))**(3\/23) assuming x is positive.\nAnswer: x**(17067\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 29 = -5*d, 2*d - d - 4*q = 1. Suppose -d*v + v = -12. Solve 4*k + 17 = b - 2*b, 3*b + v*k + 15 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52321*u**4 - 251*u**2 - 48009926?\nAnswer: 209284*u**3 - 502*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29700 divided by 10.\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88253 - -18356565\/208. Let s = -7\/16 - h. Let q be (16\/(-60)*-6)\/(160\/200). Which is the third smallest value? (a) 12 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s - 2. Let h(j) = 240*j + 120. Give 5*h(z) + 300*n(z).\nAnswer: -4800*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/238 and 59\/38.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 14. Let p be x(7). Solve 2*a = 3*r - r, p = -5*r - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4246.199 + -4249.509193. Let i = -3.122 - 0.188. Let s = i - c. What is s rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/11 and (-3)\/42*118 + 2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 10*c - 8\/5*c**2 + 0 - 1\/3*c**4 + 8\/5*c**3. Factor k(d).\nAnswer: -4*(d - 2)*(5*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 19 = -5*r. Let x(l) = 261*l - 7806. Let y be x(30). Calculate the greatest common divisor of y and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -3*(-6 + 73444\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(5\/3)*x)\/(x*x**(1\/2)))\/(x*x*x**(-2\/7)*x)**(-48) assuming x is positive.\nAnswer: x**(5605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 5*k + 2. Let g(t) = -14*t**2 + 15*t + 5. Let n(m) = -4*g(m) + 11*l(m). Let i be n(5). Solve -i*z = -7*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356496985 divided by 5.\nAnswer: -71299397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 + a**5\/10 - 3*a**4\/4 - 4*a**3\/3 + 8*a**2. Let n be p(-8). Let g(j) = -j**2 + 10*j - 9. What is g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(104000\/120)*-5?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5057199.\nAnswer: 3, 7, 80273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8002661 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -103\/4357207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1280411395*i - 1280411395*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 90634.28mg to kilograms.\nAnswer: 0.09063428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6*-2)\/(3592\/89800)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 2.5. Let v = 14.6 - 15. Let t = v + -1.6. Which is the second biggest value? (a) t (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m - 4. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5458119 is divided by 442?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/4)*i**(-4\/7)*i assuming i is positive.\nAnswer: i**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4854182 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380443 divided by 4.\nAnswer: 380443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56012303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 8 = -k - 3, 4*z + 4*k - 8 + 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2289544, -2289546, -2289548, -2289550, -2289552?\nAnswer: -2289554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99, 502, 1551, 3570, 6883, 11814?\n\"Answer: 54*v**3 - v**2 + 28*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4196 = 5*l - 6*u, -824 = -l - 4*u. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2200 + -2356. What is the biggest value in c, 2\/23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 0*c + 0*c)*(-2 + 2 + 1) + (0 - 2 - 2)*(2*c - 4*c + 3*c) - 25*c - 42 + 42 in the form j*c + q and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 6. Let z(t) = t**3 + 7*t**2 - 8*t - 2. Let n be z(-8). Let h be -2*2 - (n - -4). Let p be l(h). Solve p = 5*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 1005 + 9*i - 2*i - 6*i - i to q*i + y and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*m + 213*m - 297*m = 45*m - 14536 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h + 55 - 24 = 0. Let o(s) = 151*s**3 - s**2 + 3 - 152*s**3 - 4. Let k(c) = 2*c**2 + 1. Determine h*o(l) - k(l).\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1 + -1.\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltolutzuoohlztlzzuut. Give prob of picking 1 u and 1 o.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*v + 23, -t + 2*v + 22 = 6*v. What is the second derivative of 472*o**t + o - 112 + 468*o**2 + 323*o**4 - 81*o**4 - 940*o**2 wrt o?\nAnswer: 2904*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25890 - 117\/9) + 4\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1728498946.65181 - -1731436220.29980921. Let w = s + -2937234.648. Let l = w + -39. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 23832006 = g, -104*u = -109*u + 3*g + 119160018. What is u rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98699598 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/104584 and -7\/42704.\nAnswer: 32839376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + q - 21. Let a(v) = -2*v**2 + 15. Let h(t) = -7*a(t) - 5*n(t). Give h(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27.454ml?\nAnswer: 0.027454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 82940?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 1940*q**2 + 6*q - 2822*q**2)*(2*q + 4 + 3 - 5).\nAnswer: -1764*q**3 - 1764*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1510)\/(-100) - 1\/10. Let c(i) = 6*i - 97. Determine c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 344?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77875\/12460)\/((-10)\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6*753*22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, 6524, -4 in decreasing order.\nAnswer: 6524, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 22, 87, 220, 445, 786, 1267, 1912?\nAnswer: 2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36935348223 - -0.7.\nAnswer: 36935348223.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.2. Which is the closest to -9? (a) 4\/7 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*k - 200*k - 47*k to the form p + o*k and give o.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**2 + 10*c + 5. Let l(j) = -9*j**2 + 11*j + 4. Let x(b) = -5*l(b) + 4*u(b). Factor x(g).\nAnswer: 5*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55345*h + 2 + 2*h**2 - 52919*h - 4*h**2 in the form r*h + m*h**2 + t and give r.\nAnswer: 2426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-605))\/(1\/(-49)) - 12\/15.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 23*g**2 - 8*g + 33. Let x be l(3). What is the third derivative of -x*q**2 - 122*q**5 + 5*q**5 - 35*q + 63*q - 28*q wrt q?\nAnswer: -7020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, i: 2}. Give prob of sequence imm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 61, 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7827 - -8039. Solve 3*k = -x + 188 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((7 - 4) + -4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57403 + 114772 + 8*f**3 - 57366.\nAnswer: 8*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17061\/56 - 2144\/7. Which is the second biggest value? (a) o (b) 7 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 8, y: 2}. What is prob of sequence ymk?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369 + 2*g**2 + 369 - 4*g + (3*g + g - 3*g)*(-2*g + 4*g - g) to z + b*g**2 + t*g and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 51665*o**3 - 106057*o**3 + 54407*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 + 1 + 3. Suppose -s + 2 = -0, -4 = -j - 5*s. Let z(m) = -4*m + 15. Let q(p) = 6*p - 22. Let a(n) = 5*q(n) + 7*z(n). Calculate j*x(o) - a(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**2 + 82*v**2 - 3*v**2 - v**2 - 45*v**2 + 0*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/8976 and -13\/220?\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101 - -202?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*k**3 + 188*k**3 - 435*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 409641 (b) -17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -3. Suppose -5*a = -10*a. Suppose a = 3*u - 3*t - 3, -5*u - 2*t - 3 + 1 = 0. Solve -m*s + u*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 12*s + 12. Let i(p) = -p**3 - 8*p**2 + 2*p - 3. Let x be i(-9). Let d = x + -71. List the prime factors of u(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403371.6 millennia to centuries.\nAnswer: 4033716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -511, -5, -2 in decreasing order.\nAnswer: 5, -2, -4, -5, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 - 1216 + 68*y**2 - 21*y**2 + 1216 - 15*y**2 - 16*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 2. Let k = i + 4.2. Let h = -6\/59 + -88\/295. Which is the smallest value? (a) k (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-4) - (-239 + 239)) + -11 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4746.\nAnswer: -1423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -3*h + j, -3*j - 188 = -5*h - 5*j. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 62 + 76 + 78 + 75 - 249. What is v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 60. Let o = 25 - k. Suppose o*b + 3478 = -1872. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 0*q**3 - 2*q**3)*(2*q**2 + q**2 - 5*q**2 + 3*q - 3*q - 3*q**2 + (3 - 4 - 1)*(0*q**2 + 0*q**2 - 4*q**2) - 2*q + 2*q - q**2).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s - 5*p = 11, 5*s + 5*p + 10 = 0. Let t(k) = k - 3. What is the remainder when t(6) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 17230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 8*t**4 + 5*t**4 - 2*t**2 - 6*t to o*t + r*t**2 + j + l*t**3 + b*t**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.03, -0.3, 8.03, -4?\nAnswer: 8.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 27*g**2 - 24*g + 41. Determine s(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*94770\/17550.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c - 53 + 27 + 29 to q*c + l and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:29 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393837 and 852.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, r: 1, a: 3}. What is prob of picking 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 529, 527, 525, 523, 521?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shssssssshshsshhhs. Give prob of picking 1 s and 3 h.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzwwzzjwzz. What is prob of picking 1 z and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -313.38 + 316.439875. Let n = k + -2.86. Let i = n - 0.2. Round i to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66192040 rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 - 5*n + 5. Let y(b) = 10*b**3 + 6*b**2 - 16*b + 16. Let c(m) = -m**2. Let o(i) = 6*c(i) + y(i). Determine 16*k(a) - 5*o(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34496, -137969, -310418, -551837, -862220, -1241561?\nAnswer: -1689854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 34*h = 72. Calculate the smallest common multiple of h and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3436317 weeks in microseconds?\nAnswer: 207828452160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and -10.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*o**2 + 251*o**2 - 2*o**2 + 234*o**2)*(3 + 2*o - 3) as r*o**2 + h*o + j + z*o**3 and give z.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25061\/2 - 12489. What is the common denominator of l and ((-2)\/8)\/(4\/(-101))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 30*d - 32*d. Solve -8 = -d*s + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93\/(-7) - (13 - 31 - -1). Factor 10\/7*o**2 + i*o - 2\/7*o**3 + 2.\nAnswer: -2*(o - 7)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*42\/9. Suppose -6*n + c*n - 3 = 0. Solve 1 + 8*s**2 - 11\/2*s - 7\/2*s**n = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084270959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h + 8. Let j(d) = -4*d**3 - 2*d + 1. What is j(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*q - 176, -3*s - 2*s = -5*q - 175. Calculate the highest common factor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1165\/4628 + 2\/1157. Which is the closest to -1\/5? (a) 2\/9 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -180*m - 39. Let k(c) = -2*c - 3. Determine -8*k(l) + z(l).\nAnswer: -164*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 3*g + 13. Let o be s(4). Let h be 2 + (-3)\/(o\/10). Solve -26 = -h*c - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**2 + 10*j + 2. Let t be p(-3). Suppose -76 = -g + 5*a, -3*g - a + 301 = t. Is g a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.223? (a) -0.0139 (b) -1\/36 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 325 = -132*l - 156*l. Solve w + l = -12*d + 9*d, d = -5*w - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 divided by 102?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 8*j - 9. Suppose -3*n = -9, -2*n + 51 = t + 4*t. Let l be o(t). Suppose l = -x - 1 + 7. Solve 5*p = 1 - x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1699725803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -49*a**4\/12 - 109*a**3\/6 + a**2 - 214*a. Find the first derivative of k(p) wrt p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31765475, 31765473, 31765473, 31765475, 31765479?\nAnswer: 31765485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 10, -6*j = -3*j + o + 31 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (4 - (3 - -20) - (-10 + 13 + -12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/15)\/((-4)\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z**3 + z**2 - 4*z - 1. Let h(r) = 14*r**3 + 3*r**2 - 7*r - 3. Let u(f) = -3*h(f) + 7*y(f). Factor u(o).\nAnswer: (o - 1)*(o + 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0 + 0*v + 15*v**2 + 5\/6*v**5 + 0*v**4 - 1\/6*v**3. Let l(b) = 2*b**2. Calculate l(w(q)).\nAnswer: 5000*q**4 - 200*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34570 divided by -5\nAnswer: -6914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 11\/5, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*b + 1342*b = -6862*b + 1938*b - 1021496 for b.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 855511043 to the power of 1\/2, to the nearest integer?\nAnswer: 29249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, -250 in increasing order.\nAnswer: -250, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20190 - 9858 = -123*i for i.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by 1852.\nAnswer: 279\/926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13203168 divided by 6.\nAnswer: 2200528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**5 + r**4 - 3*r**3 - r**2 - 5*r. Let t(h) = -10*h**5 + h**4 - 4*h**3 - h**2 - 7*h. Let y(g) = -5*t(g) + 7*v(g). Suppose y(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p*q*x - 233*p*q + 2*p*x**4 - 10*p*x**2 wrt x.\nAnswer: p*q + 8*p*x**3 - 20*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2000\/17 - -359779\/3060. What is the common denominator of x and 59\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 219*g**2 - 3828*g = 0. What is g?\nAnswer: 0, 29, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/72814 or 1?\nAnswer: 3\/72814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2 - g - 6. Let h be j(-9). Let m(x) = -2*x - h*x + x**2 + 5*x. Let d(z) = -z**2. What is m(d(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 439 or 1316\/3?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11483*m**4*o**3 - 11*m**3*o**2 + 26*m**2*o**3 - 80383*m**2*o wrt m?\nAnswer: -275592*m*o**3 - 66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7081 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17583 + -15027. What is the greatest common factor of 994 and i?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1521 and 7137.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 48 = 13*n, -68*v + 0*n - 5*n = -133*v + 65*v + 25 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 4852*q + 9712.\nAnswer: -2*(q - 2428)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45414 (base 6) to base 7\nAnswer: 24466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = -4*v + 3*a, 755 = 5*v + 5*a - 9*a. What is the tens digit of (16506\/v)\/(8\/28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = p + 2*m, 408*p + 14*m = 411*p - 75 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5236674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**3 - 2*a**2 - 63*a + 18.\nAnswer: (a - 3)*(a + 3)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1709796*a - 10*a**2 - 36*a**2 + 1709797*a.\nAnswer: -46*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2 + 13*o - 4. Let h(w) = -84*w**2 - 64*w + 20. Let g(n) = 3*h(n) + 16*l(n). Factor g(c).\nAnswer: 4*(c + 1)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307375, -307380, -307385, -307390?\nAnswer: -307395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:45 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -70*-0.0741\nAnswer: 5.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 4*k - 4*k)*(-227 + 179 - 752) in the form m*k + y and give m.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -50 (c) -5 (d) -14 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -490, -843, -1186, -1513, -1818, -2095, -2338?\n\"Answer: v**3 - v**2 - 357*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/840 + l**6\/90 - l**5\/40 + l**4\/24 - l**3\/2 - 4*l**2. Let t(d) be the first derivative of h(d). What is t(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and -145\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 21*z + 6 - 7 - 17*z + 5 in the form f*z + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5886.99994069 + -5887. What is t rounded to 6 dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6059 = 4491. What is the greatest common divisor of q and 16240?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.562 times 0.5?\nAnswer: 111.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2)*3\/9. Let d(l) = l. Let v(h) be the third derivative of 5*h**4\/24 + h**3\/6 - 37*h**2. Give w*v(y) + 3*d(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45, -0.1, -0.5 in decreasing order.\nAnswer: 45, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + 3*o + (-1 - o + 1)*(3 - 3 + 2).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:57 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 2.1. Suppose 0 = -v - 14*v - 4584 + 999. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2483057 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 5*b**7\/42 + b**6\/10 + 5*b**3\/2 - b**2\/2 + 6*b - 15. Find the second derivative of v(s) wrt s.\nAnswer: 100*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 146 (b) -8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 83*t - 106. Let h(o) = -o**2 - 4*o. Let w be h(-3). Suppose -k - 16 = -w*k. What is the remainder when a(-40) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v**2 - 850*v + 882. Let s(r) = -18*r**2 + 855*r - 882. Let k(b) = -5*i(b) - 6*s(b). Factor k(f).\nAnswer: -2*(f - 1)*(f + 441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 4*s**2 + 2*s + 4*s**2)*(3792*s - 110 + 109 - 9505*s) + (s + 2 - 2)*(-2 + 2 - 2*s**2) as t*s**3 + d*s + c*s**2 + a and give c.\nAnswer: -11428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*3.3.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 207554 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6908128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 8 + 4. Let r(l) = 3*l. Let i(q) be the first derivative of q**3\/3 + q**2 - 2. Let x(f) = p*i(f) + 2*r(f). Let k(o) = -2*o. Give k(x(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*j + 2 + 25 = 0, 0 = -j - 5. Let l be o*(-7)\/((-21)\/(-2)). Sort 2\/5, -4, l.\nAnswer: -4, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6320 and -39\/8690?\nAnswer: 69520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + q**3 - 17*q**3 + 6*q**3 + 0*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27784 + 100757. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 847 and 848 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 51166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -1\/2, 3, -16, 181, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -p. Suppose -1 = u - p. Suppose q + b - 2*b = 73, 4*q = -u*b + 320. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:30 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.074 - 223.0783. Let l = 76.1 + 21.9. Let i = t + l. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 1.1. Let c = i + 3. Let d = -2.1 + c. What is the smallest value in d, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 + 6*c + 6. Let f be k(-4). Let s = -1 - f. What is the first derivative of 3 + n**3 - 3 - s wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -56. Let t = -3587 - -3605. What is the lowest common multiple of l and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83\/3 (b) -3\/4 (c) 3.9686 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15.1, 0.3, 3, -0.6 in decreasing order.\nAnswer: 3, 1, 0.3, -0.6, -15.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*h - 22, -4*h + 3*h = -n - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012 + 3?\nAnswer: -10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**3 + 14*m - m**4 - 9*m**3 - 2*m**3 + 13*m**3 + 2*m**2 as j*m**2 + r*m**4 + p + h*m + o*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 42 in descending order.\nAnswer: 42, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 - 8*f. What is o(6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 47.317576 * -1\nAnswer: -47.317576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/24)\/(7\/(-12)) + (-88)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 44 = -3*o. Let m(j) = -101*j - 2*j**2 + 7 + 110*j - 8*j**2 - j**3. What is the units digit of m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 - 9*h**2 + 9*h**2.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -5 (c) 124 (d) 17 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13483827.\nAnswer: 3, 7, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 0.18. Let d = 19 - 21. What is the nearest to p in 3\/5, d, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k + 1. Let h be a(-3). Let p be -3 - (-1 - (h - -2)). Let b = p + 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 25.3, 3, -2 in decreasing order.\nAnswer: 25.3, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*y = -7, -9*y - 28 = 4*j - 12*y. Let t be (-35)\/j - 56\/11. Let h = 6 + -2. Sort t, -2, h in increasing order.\nAnswer: -2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 23 = -31. Suppose 4*b + 4*r - 76 = 0, -4*b + 3*r + 49 = -l*r. Let a(d) = 8*d**2 + b*d**2 - 22*d**2 - 4*d. Calculate a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*g = 118*g + 137*g - 17254 - 3041 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f + 4. Let c be w(9). Let n(k) = -19*k**3 + 10*k**2 + 16*k - 2. Is n(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a factor of 65624931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -227.412 from -1850586.\nAnswer: -1850358.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*t - 124 = 0, -17 = -6*l + 5*l + 5*t. Calculate the remainder when 66 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(((-141)\/188)\/((-5265)\/(-36)))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 24. Let b(k) be the second derivative of k**5\/20 - 5*k**4\/12 - 13*k**3\/6 + 3*k**2 - 442*k + 2. Is b(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2546926*c**3 - 349808*c?\nAnswer: -15281556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 + n - 1. Let y(f) = 67*f**2 + 69 - 32 - 41 + 21*f**3 - 63*f**2 + 27*f**3 + 2*f. Calculate 4*d(w) - y(w).\nAnswer: -44*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - (-24 - -9 - -4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/7 in -3\/4, -0.1, 0.4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose 2*f = -s*f - 18. Let y(x) = -x + 4. Calculate the remainder when y(f) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321469.\nAnswer: 321469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615216807.\nAnswer: 7, 199, 1877399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.73 + -0.07. Let p = 1 + i. Let k be (-6)\/(-9) + -2 + 0. Sort k, p, 0.1.\nAnswer: k, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65106 + 420*b - 65106.\nAnswer: 420*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2388aa9 - -1a?\nAnswer: 2389018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - 2*sqrt(320)) + -2)**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 + 8*r - 12. Let b be c(-9). Let o = -3 - b. Suppose o = -2*w - 0*w + 22. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85766512 divided by 42883256\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 81)*(-24)\/15 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20581 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66195697.\nAnswer: 227, 331, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 3. Let f(t) = 1. Let y(r) = 3*f(r) - u(r). Let b(d) = -21*d. Calculate b(y(g)).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at most as big as -0.081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*j**3 - 6 - 908*j**3 + 332*j**3 + 140*j**2 - 909*j**3 wrt j?\nAnswer: -10050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 1214*h**2 - 73840*h - 276000.\nAnswer: -(h + 4)*(h + 60)*(h + 1150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45721 (base 10) to base 6.\nAnswer: 551401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/10 + 1\/(-5). Let j = -4 - x. Let s be 1*(-2 - j) + 7. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-346032)\/3726 + (-39)\/299.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305010201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -514*(-1)\/154 + -3 and (-2366)\/(-156) + 2*2?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = 0. Suppose 6*q - 2*q + 4*u - 12 = 0, u = 5*q - 27. Let i(n) = -6 - 3 - q + n. Calculate i(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22972666 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140828 is divided by 425?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.103314 millilitres in litres?\nAnswer: 0.001103314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 9) in base 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h**3*z + 107*h**3 - 6*z wrt z.\nAnswer: -12*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/(-20) + 6\/15. Let s(c) = -c**3 - 2*c**2 + 7*c + 4. Let z(k) = -k + 0*k - 1 + k**3 - 2*k**3. Let a(t) = y*z(t) - s(t). What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 10*r**2 + 3*r + 16. Let q(b) = b + 10. Let s be q(-15). Let o be v(s). Sort 3, -2, -3, o in ascending order.\nAnswer: -3, -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 386, 3098, 10488, 24902, 48686, 84186, 133748?\n\"Answer: 391*r**3 - 7*r**2 - 4*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -39. Suppose 7*r = -3*r + 30. Sort -4, -1, k, r in increasing order.\nAnswer: -4, -1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 107910196*a\/5 - 1455576300094802\/5.\nAnswer: -2*(a + 26977549)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-36) - 53\/(-6). Let o = 11 - s. Let u = 372.9 + -373. What is the nearest to u in 1\/4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*o + 224*o - 2808 = -1016. What is the greatest common factor of 2432 and o?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148.14 - -103.03. Let g = -1.39 + y. Let i = -47 - g. What is the nearest to -0.1 in -0.2, i, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by -5462?\nAnswer: -129\/5462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 286*i**3 - 6*i + 3. Let c(t) = 27455*t**3 - 578*t + 289. What is -3*c(r) + 289*u(r)?\nAnswer: 289*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.1. What is the nearest to t in 4, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:12 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -36.\nAnswer: -36, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -99*i. Suppose 10*q - 176 = 14*q. Let a(j) = -11*j. Let p(s) = q*a(s) + 5*v(s). Let b(m) = -2*m**2. Calculate p(b(h)).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-36)\/(-162). Find the second derivative of -23*i**3 + i + 17*i**3 + r*i**2 + 0*i**2 wrt i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-820)\/(-60) + -11)*108\/48 - -53\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7490*t**3 + 184 - 219 + 5628*t**3 + 5*t + 204 + 372 wrt t?\nAnswer: 78708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p)*(2*p + 1 - 1)*(1288*p**3 - 644*p**3 - 18*p**2 - 645*p**3).\nAnswer: 2*p**5 + 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26830348*c**3 + 10246875*c**2 wrt c.\nAnswer: 160982088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 12 (c) 0.158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 + 5*v - 21. Let f be h(6). Is (-12291)\/(-9) + f\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q + 3. Let d be ((-28)\/(-5) - 3) + q. What is the closest to 0 in -2\/13, d, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*p - 5*p - 84, 0 = -4*p - 5*c - 62. Let f be (-4)\/(-5) - p\/15. Factor 2*o - 2 + 9*o + 8*o - 20*o + o**f.\nAnswer: (o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931 is divided by 160?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10\/83 - -797\/415. Let g be (2 - 4)\/10*2. Let r = 0 + 0.5. Put c, 0, g, r in increasing order.\nAnswer: g, 0, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + (-27 - -15) - 1. Solve -33*h = -37*h - v*y + 8, -3*h = -5*y - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q + 1354 - 14*q - 11*q + 37*q to l*q + p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1078?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1.4. Let j = -1 - l. Does j = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 1. Suppose -3*w + 5*h = 17, 6 = -3*w + 2*h + 1. Let c be x(w). Suppose c*i - k - 118 = -0*k, 5*i - 2*k = 116. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5206*z + 948 + 2931 = -2702 + 1375 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655 and 1215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -51*q**2. Let f(s) = 10*s**2. Calculate 21*f(h) + 4*v(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17566534*l - 23203283.\nAnswer: -17566534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2438095\/56 + -317900\/7. Let r = 1884 + d. Find the common denominator of r and 83\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*t**2 + 19*t**2 + 24*t**2)*(-1 + 2 + 0)*(4 + 3 - 3 - t) as v*t**3 + d*t + j*t**2 + o and give j.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12072908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 310469.4 and 8987229?\nAnswer: 8676759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 654 = 966. Let g(c) = 27*c - 4. Let y be g(-3). Let p = r + y. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 1. Let m(f) be the third derivative of f**4\/3 + f**3\/6 - 348*f**2. Let v(s) = s**2 - 5*s + 5. Let y be v(3). Determine y*m(o) + d(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3984 by -907.\nAnswer: -3984\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 386 + 128 + 132 + 45*n.\nAnswer: 45*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 32 = 2*t. Let g = t + 139. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 677 - 670. Suppose 0 = -5*b - 3*d + 15, 8*d - n*d = 3*b + 5. Solve 6*j + 0*j - 18 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10\/y**(2\/13))**(-1\/17)\/((y**(-3)\/y**(-2\/5))\/((y\/y**0)\/(y\/(y\/((y\/y**(-1\/2))\/y*y*y))))) assuming y is positive.\nAnswer: y**(1151\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435244 (base 7) to base 14.\nAnswer: 1db24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 7*w**6\/60 - 3*w**5\/10 + w**4\/6 + 30*w**2 - 35. Let o(s) be the second derivative of i(s). Factor o(r).\nAnswer: 2*r*(r - 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find n such that -191*n**2 + 4*n - 4*n**3 + n**4 - 3 - 193*n**2 + 386*n**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 129*u + 133*u + 5, -7*u = -5*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1738 - 1119. Calculate the lowest common multiple of 6809 and l.\nAnswer: 6809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:32 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -54e?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 423 and 0.15?\nAnswer: 63.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-1)\/(-4) - -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6860307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + -9.85. Let d = 9.5 + y. Let t = -4.91 + -0.09. What is the third smallest value in 0, t, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.04 - -12.34. Let h = r + -10.193. Let w = h - 0.10700098. Round w to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95389923 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/4))\/o**(-2\/13))\/(o**(-6))**(-30) assuming o is positive.\nAnswer: o**(-9261\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 12879\nAnswer: -1\/4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*m**3 + 107*m**3 + 251*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 797 - 1116. Let j be g\/(-55) + -5 + (-3)\/10. Let d = 4.2 - 1.2. What is the closest to -24 in d, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 300\/(-304) + (-2 - -3). Let n = 5\/76 - t. Let h = n - 21\/38. Sort 0.3, h, -0.3 in increasing order.\nAnswer: h, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/3 - 424*c**3\/5 - 37514*c**2\/15 - 2484*c\/5 = 0.\nAnswer: -81, -46, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6850 divided by -5.\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = -3*n, 3*m = -3*n - 2*m + 7. Let p be (-1 - n)\/(-1 - -2). Suppose -4*l + 1315 = p*q, -2*q + 0*q - 4*l + 538 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 23*g - 43. Let m be k(21). Let n(v) = v**3 - 2*v**2 + 2*v - 2. Let q be n(2). Put 5, m, q in increasing order.\nAnswer: m, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/4 - 3*r**4\/4 + 15*r**3\/4 + 15*r**2\/4 - 3*r - 3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 250*g + 448*g + 28*g - 25416 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -18*n**3 + 11138*n**2 - 19744*n = 0?\nAnswer: 0, 16\/9, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 5*z**4\/6 - 2*z**3\/3 + 3*z**2\/2 + 3*z + 140. What is v(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -124053, 242 in ascending order.\nAnswer: -124053, -7, 3, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.26, 0.002, -3.2, 1\/7, 2\/15?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32158 less than or equal to 2283135\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682.176l in millilitres?\nAnswer: 2682176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}